A Survey of Mathematics with Applications (10th Edition) - Standalone book
10th Edition
ISBN: 9780134112107
Author: Allen R. Angel, Christine D. Abbott, Dennis Runde
Publisher: PEARSON
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Textbook Question
Chapter 6.1, Problem 67E
In Exercises 55–76, solve the equation.
67. 2(x + 3) − 4 = 2(x − 4)
Expert Solution & Answer
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Check out a sample textbook solutionStudents have asked these similar questions
In Exercises 129–132, determine whether each statement is true
or false. If the statement is false, make the necessary change(s) to
produce a true statement.
129. 9x? + 15x + 25 = (3x + 5)
130. x - 27 = (x – 3)(x² + 6x + 9)
131. x³ – 64 = (x – 4)3
132. 4x2 – 121 = (2x – 11)
Make Sense? In Exercises 135–138, determine whether each
statement makes sense or does not make sense, and explain your
reasoning.
135. Knowing the difference between factors and terms is
important: In (3x?y)“, I can distribute the exponent 2 on
each factor, but in (3x² + y)', I cannot do the same thing
on each term.
136. I used the FOIL method to find the product of x + 5 and
x + 2x + 1.
137. Instead of using the formula for the square of a binomial
sum, I prefer to write the binomial sum twice and then
apply the FOIL method.
138. Special-product formulas have patterns that make
their multiplications quicker than using the FOIL
method.
Exercises 38–40 will help you prepare for the material covered in
the first section of the next chapter.
In Exercises 38-39, simplify each algebraic expression.
38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6)
39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9)
40. The figures show the graphs of two functions.
y
y
201
10-
....
-20-
flx) = x³
glx) = -0.3x + 4x + 2
Chapter 6 Solutions
A Survey of Mathematics with Applications (10th Edition) - Standalone book
Ch. 6.1 - A letter of the alphabet used to represent numbers...Ch. 6.1 - Prob. 2ECh. 6.1 - A collection of variables, numbers, grouping...Ch. 6.1 - The number or numbers that replace the variable to...Ch. 6.1 - The parts that are added or subtracted in an...Ch. 6.1 - Terms that have the same variables with the same...Ch. 6.1 - The numerical part of a term is called its...Ch. 6.1 - Prob. 8ECh. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
Ch. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - Prob. 12ECh. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - Prob. 14ECh. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - Prob. 16ECh. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - Prob. 18ECh. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - Prob. 20ECh. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - Prob. 22ECh. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - In Exercises 11-24, evaluate the expression for...Ch. 6.1 - In Exercises 25-30, determine whether the given...Ch. 6.1 - Prob. 26ECh. 6.1 - In Exercises 25-30, determine whether the given...Ch. 6.1 - Prob. 28ECh. 6.1 - In Exercises 25-30, determine whether the given...Ch. 6.1 - Prob. 30ECh. 6.1 - In Exercises 3154, combine like terms. 31. 4x + 9xCh. 6.1 - Prob. 32ECh. 6.1 - In Exercises 3154, combine like terms. 33. 7x + 3x...Ch. 6.1 - In Exercises 3154, combine like terms. 34. 9x 2x...Ch. 6.1 - In Exercises 3154, combine like terms. 35. 7x + 3y...Ch. 6.1 - Prob. 36ECh. 6.1 - In Exercises 3154, combine like terms. 37. 3x + 2 ...Ch. 6.1 - Prob. 38ECh. 6.1 - In Exercises 3154, combine like terms. 39. 2 3x ...Ch. 6.1 - Prob. 40ECh. 6.1 - In Exercises 3154, combine like terms. 41. 6.2x ...Ch. 6.1 - Prob. 42ECh. 6.1 - In Exercises 3154, combine like terms. 43....Ch. 6.1 - Prob. 44ECh. 6.1 - In Exercises 3154, combine like terms. 45. 7x 4y ...Ch. 6.1 - Prob. 46ECh. 6.1 - In Exercises 3154, combine like terms. 47. 3(t +...Ch. 6.1 - In Exercises 3154, combine like terms. 48. 6(r 3)...Ch. 6.1 - In Exercises 3154, combine like terms. 49. 0.2(x +...Ch. 6.1 - In Exercises 3154, combine like terms. 50....Ch. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - In Exercises 3154, combine like terms. 53....Ch. 6.1 - Prob. 54ECh. 6.1 - In Exercises 5576, solve the equation. 55. y + 7 =...Ch. 6.1 - Prob. 56ECh. 6.1 - In Exercises 5576, solve the equation. 57. 16 = 3t...Ch. 6.1 - Prob. 58ECh. 6.1 - In Exercises 5576, solve the equation. 59....Ch. 6.1 - Prob. 60ECh. 6.1 - In Exercises 5576, solve the equation. 61. 0.9x ...Ch. 6.1 - Prob. 62ECh. 6.1 - In Exercises 5576, solve the equation. 63. 6t 8 =...Ch. 6.1 - Prob. 64ECh. 6.1 - Prob. 65ECh. 6.1 - Prob. 66ECh. 6.1 - In Exercises 5576, solve the equation. 67. 2(x +...Ch. 6.1 - Prob. 68ECh. 6.1 - In Exercises 5576, solve the equation. 69. 4(x 4)...Ch. 6.1 - Prob. 70ECh. 6.1 - Prob. 71ECh. 6.1 - Prob. 72ECh. 6.1 - In Exercises 5576, solve the equation. 73. 3x + 2 ...Ch. 6.1 - Prob. 74ECh. 6.1 - In Exercises 5576, solve the equation. 74. 6x + 8 ...Ch. 6.1 - Prob. 76ECh. 6.1 - Sales Tax If the sales tax, s, on an item is 8%,...Ch. 6.1 - Cost of a Tour The cost, c, in dollars, for...Ch. 6.1 - Prob. 79ECh. 6.1 - Prob. 81ECh. 6.1 - Prob. 82ECh. 6.1 - Prob. 83ECh. 6.1 - Prob. 84ECh. 6.1 - Prob. 85ECh. 6.2 - A letter of the alphabet used to represent numbers...Ch. 6.2 - An equation that typically has a real-life...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - Prob. 16ECh. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - Prob. 18ECh. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - Prob. 23ECh. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - In Exercises 330, use the formula to determine the...Ch. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - In Exercises 3136, solve the equation for y. 31....Ch. 6.2 - Prob. 32ECh. 6.2 - In Exercises 3136, solve the equation for y. 33....Ch. 6.2 - Prob. 34ECh. 6.2 - In Exercises 3136, solve the equation for y. 35....Ch. 6.2 - Prob. 36ECh. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - Prob. 40ECh. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - Prob. 42ECh. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - Prob. 44ECh. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - Prob. 46ECh. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - Prob. 48ECh. 6.2 - In Exercises 3752, solve for the variable...Ch. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Prob. 53ECh. 6.2 - Prob. 54ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 56ECh. 6.2 - Body Mass Index A persons body mass index (8MI) is...Ch. 6.2 - Prob. 58ECh. 6.3 - In Exercises 1 and 2, fill in the blank with an...Ch. 6.3 - Prob. 2ECh. 6.3 - In Exercises 36, write the mathematical expression...Ch. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - Prob. 12ECh. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - Prob. 14ECh. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - Prob. 16ECh. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - In Exercises 718, write the phrase as a...Ch. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - Prob. 20ECh. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - Prob. 22ECh. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - Prob. 26ECh. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - Prob. 28ECh. 6.3 - In Exercises 1930, write an equation and solve....Ch. 6.3 - Prob. 30ECh. 6.3 - In Exercises 3142, set up an equation that can be...Ch. 6.3 - Prob. 32ECh. 6.3 - In Exercises 3142, set up an equation that can be...Ch. 6.3 - Prob. 34ECh. 6.3 - In Exercises 3142, set up an equation that can be...Ch. 6.3 - In Exercises 31-42, set up an equation that can be...Ch. 6.3 - In Exercises 31-42, set up an equation that can be...Ch. 6.3 - In Exercises 31-42, set up an equation that can be...Ch. 6.3 - In Exercises 31-42, set up an equation that can be...Ch. 6.3 - Prob. 40ECh. 6.3 - Prob. 41ECh. 6.3 - Prob. 42ECh. 6.3 - In Exercises 43-51, use proportions to solve the...Ch. 6.3 - Prob. 44ECh. 6.3 - In Exercises 43-51, use proportions to solve the...Ch. 6.3 - In Exercises 43-51, use proportions to solve the...Ch. 6.3 - In Exercises 43-51, use proportions to solve the...Ch. 6.3 - Prob. 48ECh. 6.3 - In Exercises 43-51, use proportions to solve the...Ch. 6.3 - Prob. 50ECh. 6.3 - In Exercises 43-51, use proportions to solve the...Ch. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - The relationship between Fahrenheit temperature...Ch. 6.4 - In Exercises 1-4, fill in the blank with an...Ch. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Prob. 15ECh. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Prob. 21ECh. 6.4 - In Exercises 21 and 22, use Exercises 5-20 as a...Ch. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Exercises 23-38, (a) write the variation equation...Ch. 6.4 - Exercises 23-38, (a) write the variation equation...Ch. 6.4 - Prob. 29ECh. 6.4 - Prob. 30ECh. 6.4 - Prob. 31ECh. 6.4 - Prob. 32ECh. 6.4 - Exercises 23-38, (a) write the variation equation...Ch. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Prob. 37ECh. 6.4 - Prob. 38ECh. 6.4 - Prob. 39ECh. 6.4 - Prob. 40ECh. 6.4 - Prob. 41ECh. 6.4 - Prob. 42ECh. 6.4 - Prob. 43ECh. 6.4 - In Exercises 39-48, (a) write the variation...Ch. 6.4 - Prob. 45ECh. 6.4 - Prob. 46ECh. 6.4 - Prob. 47ECh. 6.4 - In Exercises 39-48, (a) write the variation...Ch. 6.4 - Prob. 49ECh. 6.4 - Prob. 50ECh. 6.4 - Prob. 51ECh. 6.4 - Prob. 52ECh. 6.4 - Prob. 53ECh. 6.4 - Prob. 54ECh. 6.5 - In Exercises 1-8, fill in the blank with an...Ch. 6.5 - Prob. 2ECh. 6.5 - In Exercises 1-8, fill in the blank with an...Ch. 6.5 - Prob. 4ECh. 6.5 - In Exercises 1-8, fill in the blank with an...Ch. 6.5 - In Exercises 1-8, fill in the blank with an...Ch. 6.5 - In Exercises 1-8, fill in the blank with an...Ch. 6.5 - Prob. 8ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Prob. 12ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 17ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 19ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 21ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 23ECh. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - In Exercises 9-26, graph the solution set of the...Ch. 6.5 - Prob. 27ECh. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - Prob. 29ECh. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - Prob. 31ECh. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - Prob. 33ECh. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - Prob. 35ECh. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - Prob. 37ECh. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - In Exercises 27-46, graph the solution set of the...Ch. 6.5 - Prob. 41ECh. 6.5 - Prob. 42ECh. 6.5 - Prob. 43ECh. 6.5 - Prob. 44ECh. 6.5 - Prob. 45ECh. 6.5 - Prob. 46ECh. 6.5 - Motor Vehicle Production The following graph shows...Ch. 6.5 - Prob. 48ECh. 6.5 - Prob. 49ECh. 6.5 - Salary Plans Bobby recently accepted a sales...Ch. 6.5 - Prob. 51ECh. 6.5 - Prob. 52ECh. 6.5 - Prob. 53ECh. 6.5 - Prob. 54ECh. 6.5 - Finding Velocity The velocity, v, in feet per...Ch. 6.5 - Prob. 56ECh. 6.5 - A Grade of B In Example 9 on page 320, what range...Ch. 6.5 - Prob. 58ECh. 6.5 - Prob. 59ECh. 6.5 - Prob. 60ECh. 6.5 - Prob. 61ECh. 6.6 - In Exercises 1-8, fill in the blank with an...Ch. 6.6 - In Exercises 1-8, fill in the blank with an...Ch. 6.6 - In Exercises 1-8, fill in the blank with an...Ch. 6.6 - In Exercises 1-8, fill in the blank with an...Ch. 6.6 - Prob. 5ECh. 6.6 - Prob. 6ECh. 6.6 - Prob. 7ECh. 6.6 - In Exercises 1-8, fill in the blank with an...Ch. 6.6 - Prob. 9ECh. 6.6 - Prob. 10ECh. 6.6 - In Exercises 9-16, plot all the points on the same...Ch. 6.6 - In Exercises 9-16, plot all the points on the same...Ch. 6.6 - Prob. 13ECh. 6.6 - Prob. 14ECh. 6.6 - Prob. 15ECh. 6.6 - Prob. 16ECh. 6.6 - Prob. 17ECh. 6.6 - Prob. 18ECh. 6.6 - Prob. 19ECh. 6.6 - In Exercises 17-24, plot all the points on the...Ch. 6.6 - Prob. 21ECh. 6.6 - Prob. 22ECh. 6.6 - In Exercises 17-24, plot all the points on the...Ch. 6.6 - Prob. 24ECh. 6.6 - Prob. 25ECh. 6.6 - Prob. 26ECh. 6.6 - Prob. 27ECh. 6.6 - Prob. 28ECh. 6.6 - Prob. 29ECh. 6.6 - Prob. 30ECh. 6.6 - Prob. 31ECh. 6.6 - Prob. 32ECh. 6.6 - Prob. 33ECh. 6.6 - Prob. 34ECh. 6.6 - In Exercises 35-42, determine which ordered pairs...Ch. 6.6 - Prob. 36ECh. 6.6 - Prob. 37ECh. 6.6 - Prob. 38ECh. 6.6 - Prob. 39ECh. 6.6 - Prob. 40ECh. 6.6 - Prob. 41ECh. 6.6 - In Exercises 35-42, determine which ordered pairs...Ch. 6.6 - Prob. 43ECh. 6.6 - Prob. 44ECh. 6.6 - Prob. 45ECh. 6.6 - Prob. 46ECh. 6.6 - Prob. 47ECh. 6.6 - In Exercises 47-56, graph the equation by plotting...Ch. 6.6 - Prob. 49ECh. 6.6 - In Exercises 47-56, graph the equation by plotting...Ch. 6.6 - Prob. 51ECh. 6.6 - In Exercises 47-56, graph the equation by plotting...Ch. 6.6 - Prob. 53ECh. 6.6 - In Exercises 47-56, graph the equation by plotting...Ch. 6.6 - Prob. 55ECh. 6.6 - In Exercises 47-56, graph the equation by plotting...Ch. 6.6 - Prob. 57ECh. 6.6 - In Exercises 57- 66, graph the equation, using the...Ch. 6.6 - Prob. 59ECh. 6.6 - In Exercises 57- 66, graph the equation, using the...Ch. 6.6 - Prob. 61ECh. 6.6 - In Exercises 57- 66, graph the equation, using the...Ch. 6.6 - Prob. 63ECh. 6.6 - In Exercises 57- 66, graph the equation, using the...Ch. 6.6 - Prob. 65ECh. 6.6 - In Exercises 57- 66, graph the equation, using the...Ch. 6.6 - Prob. 67ECh. 6.6 - In Exercises 67-76, determine the slope of the...Ch. 6.6 - Prob. 69ECh. 6.6 - In Exercises 67-76, determine the slope of the...Ch. 6.6 - Prob. 71ECh. 6.6 - In Exercises 67-76, determine the slope of the...Ch. 6.6 - Prob. 73ECh. 6.6 - In Exercises 67-76, determine the slope of the...Ch. 6.6 - Prob. 75ECh. 6.6 - In Exercises 67-76, determine the slope of the...Ch. 6.6 - Prob. 77ECh. 6.6 - Prob. 78ECh. 6.6 - Prob. 79ECh. 6.6 - Prob. 80ECh. 6.6 - Prob. 81ECh. 6.6 - Prob. 82ECh. 6.6 - Prob. 83ECh. 6.6 - Prob. 84ECh. 6.6 - Prob. 85ECh. 6.6 - In Exercises 77- 86, graph the equation using the...Ch. 6.6 - Prob. 87ECh. 6.6 - Prob. 88ECh. 6.6 - Prob. 89ECh. 6.6 - Prob. 90ECh. 6.6 - Prob. 91ECh. 6.6 - Prob. 92ECh. 6.6 - Prob. 93ECh. 6.6 - Prob. 94ECh. 6.6 - Prob. 95ECh. 6.6 - Prob. 96ECh. 6.6 - Prob. 97ECh. 6.6 - Prob. 98ECh. 6.6 - Prob. 99ECh. 6.6 - Prob. 100ECh. 6.6 - Prob. 101ECh. 6.6 - Prob. 102ECh. 6.6 - Prob. 103ECh. 6.6 - Prob. 104ECh. 6.6 - Prob. 105ECh. 6.6 - Prob. 106ECh. 6.6 - Prob. 107ECh. 6.6 - Prob. 108ECh. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 1-10, fill in the blank with an...Ch. 6.7 - In Exercises 11 and 12, determine which ordered...Ch. 6.7 - Prob. 12ECh. 6.7 - Prob. 13ECh. 6.7 - Prob. 14ECh. 6.7 - Prob. 15ECh. 6.7 - Prob. 16ECh. 6.7 - In Exercises 13-22, solve the system of equations...Ch. 6.7 - Prob. 18ECh. 6.7 - In Exercises 13-22, solve the system of equations...Ch. 6.7 - Prob. 20ECh. 6.7 - Prob. 21ECh. 6.7 - Prob. 22ECh. 6.7 - Prob. 23ECh. 6.7 - Prob. 24ECh. 6.7 - In Exercises 23-34, solve the system of equations...Ch. 6.7 - Prob. 26ECh. 6.7 - Prob. 27ECh. 6.7 - Prob. 28ECh. 6.7 - Prob. 29ECh. 6.7 - Prob. 30ECh. 6.7 - Prob. 31ECh. 6.7 - Prob. 32ECh. 6.7 - Prob. 33ECh. 6.7 - Prob. 34ECh. 6.7 - In Exercises 35-48, solve the system of equations...Ch. 6.7 - In Exercises 35-48, solve the system of equations...Ch. 6.7 - In Exercises 35-48, solve the system of equations...Ch. 6.7 - In Exercises 35-48, solve the system of equations...Ch. 6.7 - In Exercises 35-48, solve the system of equations...Ch. 6.7 - In Exercises 35-48, solve the system of equations...Ch. 6.7 - Prob. 41ECh. 6.7 - Prob. 42ECh. 6.7 - Prob. 43ECh. 6.7 - Prob. 44ECh. 6.7 - Prob. 45ECh. 6.7 - Prob. 46ECh. 6.7 - Prob. 47ECh. 6.7 - Prob. 48ECh. 6.7 - Prob. 49ECh. 6.7 - Prob. 50ECh. 6.7 - MODELINGSelling Backpacks Benjamins Backpacks can...Ch. 6.7 - MODELINGManufacturing Blu-ray Disc Players A...Ch. 6.7 - MODELINGSelling Earbuds SoundsGreat manufactures...Ch. 6.7 - Prob. 54ECh. 6.7 - Prob. 55ECh. 6.7 - Prob. 56ECh. 6.7 - Prob. 57ECh. 6.7 - Prob. 58ECh. 6.7 - Prob. 59ECh. 6.7 - MODELINGCopy Service Jayne recently purchased a...Ch. 6.7 - MODELINGHardwood Floor Installation The cost to...Ch. 6.7 - Prob. 62ECh. 6.7 - Prob. 63ECh. 6.7 - Prob. 64ECh. 6.7 - Prob. 65ECh. 6.7 - Prob. 66ECh. 6.7 - Prob. 67ECh. 6.7 - Prob. 68ECh. 6.7 - Prob. 69ECh. 6.7 - Construct a system of two linear equations that...Ch. 6.7 - Prob. 71ECh. 6.7 - Prob. 72ECh. 6.7 - Prob. 73ECh. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - In Exercises 110, fill in the blank with an...Ch. 6.8 - Prob. 8ECh. 6.8 - Prob. 9ECh. 6.8 - Prob. 10ECh. 6.8 - Prob. 11ECh. 6.8 - Prob. 12ECh. 6.8 - Prob. 13ECh. 6.8 - Prob. 14ECh. 6.8 - Prob. 15ECh. 6.8 - Prob. 16ECh. 6.8 - Prob. 17ECh. 6.8 - Prob. 18ECh. 6.8 - Prob. 19ECh. 6.8 - Prob. 20ECh. 6.8 - Prob. 21ECh. 6.8 - Prob. 22ECh. 6.8 - Prob. 23ECh. 6.8 - Prob. 24ECh. 6.8 - Prob. 25ECh. 6.8 - Prob. 26ECh. 6.8 - Prob. 27ECh. 6.8 - Prob. 28ECh. 6.8 - Prob. 29ECh. 6.8 - Prob. 30ECh. 6.8 - Prob. 31ECh. 6.8 - Prob. 32ECh. 6.8 - Prob. 33ECh. 6.8 - Prob. 34ECh. 6.8 - Prob. 35ECh. 6.8 - Prob. 36ECh. 6.8 - Prob. 37ECh. 6.8 - Prob. 38ECh. 6.8 - Prob. 39ECh. 6.8 - Prob. 40ECh. 6.8 - Prob. 41ECh. 6.8 - Prob. 42ECh. 6.8 - Prob. 43ECh. 6.8 - Prob. 44ECh. 6.8 - Prob. 45ECh. 6.8 - Prob. 46ECh. 6.8 - Prob. 47ECh. 6.8 - Prob. 48ECh. 6.8 - Prob. 49ECh. 6.8 - Prob. 50ECh. 6.8 - Prob. 51ECh. 6.8 - MODELINGWashing Machine Production A company...Ch. 6.8 - MODELINGPaint Production A paint supplier has two...Ch. 6.8 - Prob. 54ECh. 6.8 - Prob. 55ECh. 6.8 - Prob. 56ECh. 6.8 - Prob. 57ECh. 6.8 - Prob. 58ECh. 6.8 - Prob. 59ECh. 6.9 - An expression that contains two terms in which...Ch. 6.9 - An expression that contains three terms in which...Ch. 6.9 - Prob. 3ECh. 6.9 - Prob. 4ECh. 6.9 - When a quadratic equation cannot be easily solved...Ch. 6.9 - Prob. 6ECh. 6.9 - Prob. 7ECh. 6.9 - Prob. 8ECh. 6.9 - Prob. 9ECh. 6.9 - In Exercises 7-22, factor the trinomial. 10. x2 +...Ch. 6.9 - Prob. 11ECh. 6.9 - Prob. 12ECh. 6.9 - Prob. 13ECh. 6.9 - Prob. 14ECh. 6.9 - In Exercises 7-22, factor the trinomial. 15. x2 ...Ch. 6.9 - Prob. 16ECh. 6.9 - In Exercises 7-22, factor the trinomial. 17. x2 ...Ch. 6.9 - Prob. 18ECh. 6.9 - Prob. 19ECh. 6.9 - In Exercises 7-22, factor the trinomial. 20. x2 +...Ch. 6.9 - Prob. 21ECh. 6.9 - Prob. 22ECh. 6.9 - Prob. 23ECh. 6.9 - Prob. 24ECh. 6.9 - In Exercises 23-34, factor the trinomial. 25. 3x2...Ch. 6.9 - Prob. 26ECh. 6.9 - In Exercises 2334, factor the trinomial. 27. 5x2 +...Ch. 6.9 - Prob. 29ECh. 6.9 - Prob. 28ECh. 6.9 - In Exercises 2334, factor the trinomial. 30. 4x2 +...Ch. 6.9 - Prob. 31ECh. 6.9 - Prob. 32ECh. 6.9 - Prob. 33ECh. 6.9 - Prob. 34ECh. 6.9 - In Exercises 3538, solve each equation, using the...Ch. 6.9 - Prob. 36ECh. 6.9 - Prob. 37ECh. 6.9 - Prob. 38ECh. 6.9 - Prob. 39ECh. 6.9 - In Exercises 3958, solve each equation by...Ch. 6.9 - Prob. 41ECh. 6.9 - Prob. 42ECh. 6.9 - Prob. 43ECh. 6.9 - Prob. 44ECh. 6.9 - In Exercises 3958, solve each equation by...Ch. 6.9 - Prob. 46ECh. 6.9 - Prob. 47ECh. 6.9 - Prob. 48ECh. 6.9 - Prob. 49ECh. 6.9 - In Exercises 3958, solve each equation by...Ch. 6.9 - Prob. 51ECh. 6.9 - Prob. 52ECh. 6.9 - Prob. 53ECh. 6.9 - Prob. 54ECh. 6.9 - In Exercises 3958, solve each equation by...Ch. 6.9 - Prob. 56ECh. 6.9 - Prob. 57ECh. 6.9 - Prob. 58ECh. 6.9 - Prob. 59ECh. 6.9 - In Exercises 5978, solve the equation, using the...Ch. 6.9 - Prob. 61ECh. 6.9 - Prob. 62ECh. 6.9 - Prob. 63ECh. 6.9 - Prob. 64ECh. 6.9 - In Exercises 5978, solve the equation, using the...Ch. 6.9 - Prob. 66ECh. 6.9 - Prob. 67ECh. 6.9 - Prob. 68ECh. 6.9 - Prob. 69ECh. 6.9 - In Exercises 5978, solve the equation, using the...Ch. 6.9 - Prob. 71ECh. 6.9 - Prob. 72ECh. 6.9 - Prob. 73ECh. 6.9 - Prob. 74ECh. 6.9 - Prob. 75ECh. 6.9 - Prob. 76ECh. 6.9 - Prob. 77ECh. 6.9 - Prob. 78ECh. 6.9 - Prob. 79ECh. 6.9 - Prob. 80ECh. 6.9 - Height of a Ball A ball is projected upward from...Ch. 6.9 - Prob. 82ECh. 6.9 - Prob. 83ECh. 6.9 - Prob. 84ECh. 6.9 - Write an equation that has solutions 1 and 3.Ch. 6.10 - In Exercises 18, fill in the blank with an...Ch. 6.10 - Prob. 2ECh. 6.10 - Prob. 3ECh. 6.10 - Prob. 4ECh. 6.10 - Prob. 5ECh. 6.10 - Prob. 6ECh. 6.10 - Prob. 7ECh. 6.10 - Prob. 8ECh. 6.10 - Prob. 9ECh. 6.10 - Prob. 10ECh. 6.10 - Prob. 11ECh. 6.10 - Prob. 12ECh. 6.10 - Prob. 13ECh. 6.10 - Prob. 14ECh. 6.10 - In Exercises 922, determine whether the graph...Ch. 6.10 - Prob. 16ECh. 6.10 - Prob. 17ECh. 6.10 - Prob. 18ECh. 6.10 - Prob. 19ECh. 6.10 - Prob. 20ECh. 6.10 - Prob. 21ECh. 6.10 - Prob. 22ECh. 6.10 - Prob. 23ECh. 6.10 - Prob. 24ECh. 6.10 - Prob. 25ECh. 6.10 - Prob. 26ECh. 6.10 - Prob. 27ECh. 6.10 - Prob. 28ECh. 6.10 - Prob. 29ECh. 6.10 - Prob. 30ECh. 6.10 - Prob. 31ECh. 6.10 - Prob. 32ECh. 6.10 - Prob. 33ECh. 6.10 - Prob. 34ECh. 6.10 - In Exercises 2940, evaluate the function for the...Ch. 6.10 - Prob. 36ECh. 6.10 - Prob. 37ECh. 6.10 - Prob. 38ECh. 6.10 - Prob. 39ECh. 6.10 - Prob. 40ECh. 6.10 - Prob. 41ECh. 6.10 - Prob. 42ECh. 6.10 - Prob. 43ECh. 6.10 - Prob. 44ECh. 6.10 - Prob. 45ECh. 6.10 - Prob. 46ECh. 6.10 - Prob. 47ECh. 6.10 - Prob. 48ECh. 6.10 - In Exercises 4760, a. determine whether the...Ch. 6.10 - Prob. 50ECh. 6.10 - Prob. 51ECh. 6.10 - Prob. 52ECh. 6.10 - In Exercises 4760, a. determine whether the...Ch. 6.10 - Prob. 54ECh. 6.10 - Prob. 55ECh. 6.10 - Prob. 56ECh. 6.10 - In Exercises 4760, a. determine whether the...Ch. 6.10 - Prob. 58ECh. 6.10 - Prob. 59ECh. 6.10 - Prob. 60ECh. 6.10 - Prob. 61ECh. 6.10 - Prob. 62ECh. 6.10 - Prob. 63ECh. 6.10 - Prob. 64ECh. 6.10 - In Exercises 6170, draw the graph of the function...Ch. 6.10 - Prob. 66ECh. 6.10 - In Exercises 6170, draw the graph of the function...Ch. 6.10 - Prob. 68ECh. 6.10 - In Exercises 6170, draw the graph of the function...Ch. 6.10 - In Exercises 6170, draw the graph of the function...Ch. 6.10 - Yearly Profit Marta is a part owner of a newly...Ch. 6.10 - Finding Distances The distance a car travels,...Ch. 6.10 - U.S. Foreign-Born Population The graph on the top...Ch. 6.10 - Hourly Temperature The following graph indicates...Ch. 6.10 - Bacteria The number of a certain type of bacteria,...Ch. 6.10 - Adjusting for Inflation If P is the price of an...Ch. 6.10 - Expected Growth The town of Lockport currently has...Ch. 6.10 - Value of an SUV The cost of a new SUV is 30,000 If...Ch. 6.10 - Population of India The population of India in...Ch. 6.10 - Value of New York City Assume the value of the...Ch. 6.10 - Radioactive Decay Radium -226 is a radioactive...Ch. 6.10 - Radioactive Decay Strontium-90 is a radioactive...Ch. 6.10 - Global Smartphone Sales The following graph shows...Ch. 6.10 - Prob. 84ECh. 6.10 - Prob. 85ECh. 6.10 - Prob. 86ECh. 6.10 - Prob. 87ECh. 6.10 - Prob. 88ECh. 6 - In Exercises 14, evaluate the expression for the...Ch. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - In Exercises 19 and 20, write the phrase in...Ch. 6 - In Exercises 19 and 20, write the phrase in...Ch. 6 - In Exercises 2124, write an equation trial can be...Ch. 6 - In Exercises 2124, write an equation trial can be...Ch. 6 - In Exercises 2124, write an equation trial can be...Ch. 6 - In Exercises 2124, write an equation trial can be...Ch. 6 - In Exercises 2528, write the equation and then...Ch. 6 - In Exercises 2528, write the equation and then...Ch. 6 - In Exercises 2528, write the equation and then...Ch. 6 - In Exercises 2528, write the equation and then...Ch. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - MODELING Taxi Business Cost Tonys weekly cost, C,...Ch. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - Prob. 63RECh. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 - Prob. 67RECh. 6 - Prob. 68RECh. 6 - Prob. 69RECh. 6 - Prob. 70RECh. 6 - Prob. 71RECh. 6 - Prob. 72RECh. 6 - Prob. 73RECh. 6 - Prob. 74RECh. 6 - Prob. 75RECh. 6 - Prob. 76RECh. 6 - Prob. 77RECh. 6 - Prob. 78RECh. 6 - Prob. 79RECh. 6 - Prob. 80RECh. 6 - Prob. 81RECh. 6 - Prob. 82RECh. 6 - Prob. 83RECh. 6 - Prob. 84RECh. 6 - Prob. 85RECh. 6 - Prob. 86RECh. 6 - Prob. 87RECh. 6 - Prob. 88RECh. 6 - Prob. 89RECh. 6 - Prob. 90RECh. 6 - In Exercises 9194, evaluate f(x) for the given...Ch. 6 - In Exercises 9194, evaluate f(x) for the given...Ch. 6 - In Exercises 9194, evaluate f(x) for the given...Ch. 6 - In Exercises 9194, evaluate f(x) for the given...Ch. 6 - In Exercises 95 and 96, for each function a....Ch. 6 - In Exercises 95 and 96, for each function a....Ch. 6 - In Exercises 97 and 98, draw the graph of the...Ch. 6 - In Exercises 97 and 98, draw the graph of the...Ch. 6 - Prob. 99RECh. 6 - Prob. 100RECh. 6 - Prob. 1TCh. 6 - Prob. 2TCh. 6 - Prob. 3TCh. 6 - Prob. 4TCh. 6 - Prob. 5TCh. 6 - Prob. 6TCh. 6 - Prob. 7TCh. 6 - Prob. 8TCh. 6 - Prob. 9TCh. 6 - Prob. 10TCh. 6 - Prob. 11TCh. 6 - Prob. 12TCh. 6 - Prob. 13TCh. 6 - Prob. 14TCh. 6 - Prob. 15TCh. 6 - Prob. 16TCh. 6 - Prob. 17TCh. 6 - Prob. 18TCh. 6 - Prob. 19TCh. 6 - Prob. 20T
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- In Exercises 106–108, factor and simplify each algebraic expression. 106. 16x + 32r4 107. (x² – 4)(x² + 3) - (r? – 4)°(x² + 3)2 108. 12x+ 6xarrow_forwardFor Exercises 5–10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression. 2(x + h)? + 3(x + h) · 5. (2x + 3x) 3(x + h - 4(x + h) – (3x - 4x) 6. h 1 1 1 1 (x + h) – 2 7. x - 2 2(x + h) + 5 8. 2x + 5 h (x + h) – x 9. (x + h) 10. - X h harrow_forwardIn Exercises 20–21, solve each rational equation. 11 20. x + 4 + 2 x2 – 16 - x + 1 21. x? + 2x – 3 1 1 x + 3 x - 1 ||arrow_forward
- Exercises 105–107 will help you prepare for the material covered in the next section. 105. Let x represent a number. a. Write an equation in x that describes the following conditions: Four less than three times the number is 32. b. Solve the equation and determine the number. 106. Let x represent the number of countries in the world that are not free. The number of free countries exceeds the number of not-free countries by 44. Write an algebraic expression that represents the number of free countries. 107. You purchase a new car for $20,000. Each year the value of the car decreases by $2500. Write an algebraic expression that represents the car's value, in dollars, after x years.arrow_forwardExercises 149–151 will help you prepare for the material covered in the next section. 149. Multiply: (Vx + 4 + 1)2. 150. Solve: 4x2 16x + 16 = 4(x + 4). 151. Solve: 26 – 11x 16 – 8x + x?.arrow_forwardIn Exercises 83–90, perform the indicated operation or operations. 83. (3x + 4y)? - (3x – 4y) 84. (5x + 2y) - (5x – 2y) 85. (5x – 7)(3x – 2) – (4x – 5)(6x – 1) 86. (3x + 5)(2x - 9) - (7x – 2)(x – 1) 87. (2x + 5)(2r - 5)(4x? + 25) 88. (3x + 4)(3x – 4)(9x² + 16) (2x – 7)5 89. (2x – 7) (5x – 3)6 90. (5x – 3)4arrow_forward
- In Exercises 125-134, solve each equation. 125. 25 - [2 + 5x – 3(x + 2)] = -3(2x – 5) – [5(x – 1) – 3x + 3] 126. 45 - [4 - 2x – 4(x + 7)] = -4(1 + 3x) – [4 – 3(x + 2) – 2(2x – 5)] 127. 7 - 7x = (3x + 2)(x - 1) 128. 10x - 1 = (2r + 1) 129. |x + 2x – 36| = 12 130. |x + 6x + 1| = 8 1 + 1 5 131. 3x + 2 x + 2 x? - 4 1 132. X - 2 X - 3 x - 5x + 6 133. Vx + 8 - Vx 4 = 2 134. Vx + 5 – Vx - 3 = 2 + 1.arrow_forwardFor Exercises 81–100, make an appropriate substitution and solve the equation. (See Examples 10–11) 81. (2x + 5)? – 7(2x + 5) - 30 = 0 82. (Зх — 7)? - 6(3х — 7)-16 3D 0 83. (x + 2x)? – 18(r + 2x) = -45 84. (x + 3x)? - 86. (у? — 3)? — 9(y? — 3) — 52 %3D 0 14(x + 3x) = -40 85. (x + 2)2 + (x + 2) – 42 = 0 10 2 10 - 61 m - - 27 = 0 x + + 35 = 0 87. 88. - 121 x + т - m m 89. 2 + 2 + = 12 90. + 3 + 6 + 3 = -8 91. 5c2/5 11c/5 + 2 = 0 92. З3 d'/3 – 4 = 0 93. y'/2 – y/4 6 = 0 94. n'/2 + 6n/4 – 16 = 0 95. 9y 10y + 1 = 0 96. 100х-4 29x-2 + 1 = 0 | 97. 4t – 25 Vi = 0 98. 9m – 16Vm = 0 100. 392 + 16q -1 99. 30k-2 – 23k- + 2 = 0 + 5 = 0arrow_forwardExercises 86–88 will help you prepare for the material covered in the next section. If –9 is substituted for x in the equation 4x – 3 = 5x + 6, is the resulting statement true or false? Simplify: 13 – 3(x + 2). Зх + Simplify: 10(**1).arrow_forward
- Make Sense? In Exercises 135–138, determine whether each statement makes sense or does not make sense, and explain your reasoning. 135. I use the same ideas to multiply (V2 + 5) (V2 + 4) that I did to find the binomial product (x + 5)(x + 4). 136. I used a special-product formula and simplified as follows: (V2 + V5)? = 2 + 5 = 7. 137. In some cases when I multiply a square root expression and its conjugate, the simplified product contains a radical. 138. I use the fact that 1 is the multiplicative identity to both rationalize denominators and rewrite rational expressions with a common denominator.arrow_forwardUse the graphs of the linear functions to solve Exercises 89–90. x + 3y = 12 x - 3y = -6 x - y = 4 x - 3y = 6 89. Write the linear system whose solution set is {(6, 2)}. Express each equation in the system in slope-intercept form.arrow_forwardIn Exercises 65–74, factor by grouping to obtain the difference of two squares. 6x + 9 – y? 12x + 36 – y? 65. x? 66. x2 67. x + 20xr + 100 68. x? + 16x + 64 – x4 69. 9x2 70. 25x? – 20x + 4 – 81y? 30x + 25 – 36y? 71. x* - x? – 2x – 1 72. x4 -х2 — бх — 9 x? + 4xy – 4y2 x²+ 10xy - 25y2 73. z? 74. z? - rarrow_forward
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