Concept explainers
Determining Solution Points In Exercises 7-14, determine whether each point lies on the graph of the equation.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
College Algebra
- Use these model equations: the linear equation y=0.225x+12.45, the quadratic equation y=0.0032(x-30)*2+19.2, and the exponential equation y=1.90(1,08)*x a) Graph each equation on the same grid. Please complete thetable of values. Graph each equation on the same grid. b) Which model is most reasonable? Explain your answerarrow_forwardInternet use An equation that models the number of users of the Internet is y = 11.786x2 – 142.214x + 493 million users where x is the number of years since 1990 (Source: CyberAtlas, 1999). If the pattern indicated by the model remains valid, when does this model predict there will be 812 million users?arrow_forwardA new Car worth $35,000 is depreciating in value by $7000 per year. The mathematical model, which describes the car’s value, y, in dollars, after x years, is y=—$7000x+35,000 The missing coordinate is (2,?) The y-intercept is____.arrow_forward
- At the end of an advertising campaign, weekly sales declined according to the equation y = 10,000(4-0.06x) dollars, where x is the number of weeks after the end of the campaign. a. Determine the sales at the end of the ad campaign. b. Determine the sales 7 weeks after the end of the campaign. c. Does this model indicate that sales will eventually reach $0? a. The sales at the end of the campaign are $ (Round to the nearest cent as needed.) b. The sales 7 weeks after the end of the campaign are $. (Round to the nearest cent as needed.) c. Does this model indicate that sales will eventually reach $0? No Yesarrow_forwardUse a graphing utility to solve 5x3 - 2 = x - x2 . Round answers to two decimal places.arrow_forwardUse a graphing utility to solve x3 - 3x2 - 4x + 8 = 0.Round answers to two decimal places.arrow_forward
- Find the x- and y-intercepts of the graph of the equation y = x4 − 25.arrow_forwardDetermine whether each point lies on the graph of the equation.y = 4 − ∣x − 2∣ (a) (1, 5) (b) (6, 0)arrow_forwardPediatric growth charts suggest a linear relationship between age (in years) and median height (in inches) for children between 2 and 12 years of age. Two year olds have a median height of 35 inches and 12 year olds have a median height of 60inches. Generate an equation to describe height as a of age. A) H(a)= -2.5a + 30 B) H(a)= 2.5a + 35 C) H(a)= 2.5a - 30 D) H(a)= .4a - 12 E) H(a)= 2.5a + 30arrow_forward
- Topic: The relationship between the length of an adult's femur (thigh bone) and the height of the adult can be approximated by the linear equations y = 0.432x - 10.44 (female) y = 0.449x - 12.15 (male) where y is the length of the femur in inches and x is the height of the adult in inches (see figure). y in. femur x in. Is there a height for which the length of the femur bones of an adult male and an adult female will be equal? If so, what is that height? If not, explain why not? Explain your reasoning.arrow_forwardA car rental company charges a flat fee of $18.30 plus $0.15 per mile. Part 1 of 2 (a) Write an equation that expresses the cost y of renting a car if the car is driven for x mi. The equation is y = 0.15x + 18.30 Part: 1/2 Part 2 of 2 (b) Using the equation from part (a), find the cost of driving the rental car 50, 100, and 200 mi. The cost of driving 50 miles is S The cost of driving 100 miles is S The cost of driving 200 miles is $arrow_forwardExercise #4: Consider the equation x-7 =-2 (a) Show that x=5 is not a solution to this equation. (b) Explain why this equation cannot have any solutions.arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt