The partial fraction decomposition of f(x) (x + 6) the form of f(x) = g(x) = + 2x² + 20x - 57 (x+6) (x² + 4x + 9) where g(x) (x² + 4x +9)' can be written in

Q: Law Enforcement Police use the formula s = √24d to estimate the speed of a cars in miles-per-hour…

A: S=sqrt(24d)

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: we need to find out the absolute maximum and absolute minimum values of the given function.

Q: Simplify the given expression involving the indicated multiplication and division. 2x²-11x-6 X-2…

A:

Q: Solve the inequality and write the solution in interval notation. Leave answers in exact, simplified…

A: Inequality:

Q: Figure A is a dilated image of figure B. Find the scale factor. 1) LililiLiLililLili iij…

A: A graph of figure A and figure B are given.The aim is to find the dilation factor.

Q: Graph the systems of linear equations to determine the values of x and y that simultaneously satisfy…

A:

Q: Answer the questions about the following function. f(x)= x+12 X-9 19 ¹ (2₁-12) (a) Is the point on…

A: The given function .The aim is to find the point of the functions at the given points.Note: Since…

Q: Write the equation of the ellipse 16x² +9y² + 160x +36y+292= 0 in standard form (x - h) ² p² (y -…

A: The given ellipse equation is .The aim is to convert into the standard form .

Q: Kelly paid off his student loan in 3 years by making payments of $650 at the beginning of every…

A:

Q: e−6x = 2 (a) Find the exact solution of the exponential equation in terms of logarithms. x =   (b)…

A: (a)e−6x=2

Q: Simplify the given expression involving the indicated multiplication. x²-17x+72x²2 - 36 2 x²-3x-54…

A:

Q: 29 At a large nursery, a border for a rectangular garden is being built. Designers want the border's…

A: At a large nursery, a border for a rectangular garden is being built. Designers want the border's…

Q: 5. nts Let 0 k 3 1 -2 2 4 3 1 Find the values of k where A is not invertible. A =

A: A=[0 k 3    1 -2 2    4 3 1]

Q: In 5-8, write an equation of the trend line in slope-intercept form. 5. 6. 10 q 8 7 6 5 4 3 2 1 SE…

A:

Q: B 69°F Mostly cloudy View Policies Current Attempt in Progress A student takes a part-time job to…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Solve the inequality. Write the solution set in interval notation if possible. Simplify your answer,…

A: The given inequality is .The aim is to solve the given inequality.

Q: If g(x) = 4x + 5 and h(x) = (fog)(x) = 5x + 10 + 75, then f(x) = 54x+5+75 and (gof)(x) = 4.54x+5+305

A: If , then to find .

Q: An influencer is planning a lunch banquet. The equation �=670+24� models the relation between the…

A: The objective of the question is to find the cost of the lunch banquet when the number of guests is…

Q: MODELING REAL LIFE A map shows the number of steps you must take to get to a treasure. However, the…

A:

Q: Select the correct representation of the expression 12 - (3-x) without brackets. a. -36 - 12x b.…

A: The given expression is

Q: Below is the entire graph of function f. -1 Graph f¹, the inverse of f. 8- 6- 4- 'y

A: To graph an inverse function of the function f the value of x becomes y and y becomes…

Q: Indicate if the following is true or false. {4, 9}{0, 3, 4, 9}

A:

Q: Graph the parabola then answer the questions about the vertex, any intercepts, the domain, and…

A: The objective of this question is to graph the given parabola y = x^2 - 4x and find its vertex,…

Q: Use factoring to solve the polynomial equation. x³ + 2x²-16x-32=0 The solution set is. (Use a comma…

A:

Q: Given the ellipse (x - 5)² 36 Find the center point: + (y — 4)² 4 List the vertices and covertices:…

A:

Q: Find the standard form for the equation of a circle (x-h)²+(y-k)² = r² with a diameter that has…

A: Given equation is, .Given, diameter endpoints (-3,7) and (0,5).

Q: Problem #1: Let v₁ = (-7, 1, 0,-1), V2 = (0, 1,-7, 1), and b = (1, 1,-1,-8). Let W be the subspace…

A:

Q: Graph the linear equation: -3x+4y= -2, by creating a t-chart to plot the points

A:

Q: Philippa took out a $860 discounted loan for a period of m months and the simple interest rate was…

A: The simple interest formula Initial amount Rate of interest Time in years Simple interest

Q: Input N Input do Input T Input Output -12 -11 -10 -9 8 Output 2 Output -2 2 Output 5 Function…

A:

Q: 3. Given linear equation x+22=1 28-y +32=2 4x +y+87=0 Rewrite it with this form AX-B Find AT © Find…

A:

Q: Solve the inequality and graph the solution set on a number line. -1<3x-158 The solution in interval…

A: The given inequality is .The aim is to solve the given inequality.

Q: Find the vertex of the parabola by applying the vertex formula. g(x)=3x²-18x-89 The vertex is (0,0)…

A:

Q: 3 22. 3√/54x - 4√24x Radical Expressions

A:

Q: The cost �(�), where � is the number of miles driven, of renting a car for a day is $39 plus $1.05…

A: The objective of the question is to determine the slope and x-intercept of the linear function…

Q: 13. 4.16 √72h²k¹6 2 Radical Expressions

A:

Q: The graph of a quadratic function with vertex (-1, 0) is shown in the figure below. Find the range…

A:

Q: zwk zw/k. (z/w)/k.

A:

Q: The graph of a quadratic function with vertex (−1,0) is shown in the figure below. Find the domain…

A: Here graph is given in the question which is a parabola, we need to find domain and range of the…

Q: 10.3√125 - √500 Radical Expressions

A:

Q: You are working with a quadratic equation and construct the following graph 4 3 -8 -7 -6 -5 -4 -3 -2…

A: The objective of this question is to identify the vertex, y-intercept, x-intercepts of a parabola…

Q: Use polynomial long division to divide -2�3+4�2+3 by �-3.             -( )             -(…

A: The objective of this question is to divide the polynomial -2x^3 + 4x^2 + 3 by -3 using polynomial…

Q: find the slope of the line through (4,3) and (7,8). show all work

A: we are given the points through which the line passes, we need to find out the slope of that line.

Q: Solve the equation for x. [Hint: The equation can be written as x - 25x² + 144 = 0 (x²)2 -…

A:

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution sets in interval notation…

A: From the given graph

Q: 1. Find the inverse of the matrix A if it exists. 2 6 6 A = 2 7 6 277 You must use the method in…

A:

Q: 3. [[ points] Let A = -1 1 2 1 -1 0 3 0 -1 - (a) Find the determinant of A. (b) Is A invertible? Why…

A:

Q: We are standing on the top of a 384 feet tall building and launch a small object upward. The…

A: The objective of the question is to find the highest point that the object reaches. This can be…

Q: A committee of 4 people is chosen from 6 women and 6 men. How many different committees are possible…

A: Number of people in a committee =4 number of women =6Number of men = 6

Q: Graph the exponential function. f(x)=4* Plot five points on the graph of the function, and also draw…

A: To draw the graph of the function f(x) = 4x and find the asymptotes.