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Questions and Answers of College Algebra

In Problems 7–22, solve each inequality. x² - 4x > 0
An individual’s income varies with his or her age. The following table shows the median income I of males of different age groups within the United States for 2016. For each age group, let the
If f(x) = 7.5x + 15, find f(-2).
Complete the square of 3x2 + 7x. Factor the new expression.
In Problems 7–22, solve each inequality. x²-9
In Problems 5–10, examine each scatter plot and determine whether the relation is linear or nonlinear. NORMAL FLOAT AUTO REAL RADIAN MP 35 -45
In Problems 7–22, solve each inequality. x² + 8x > 0
In Problems 7–22, solve each inequality. x²-1
In Problems 7–22, solve each inequality. x² + x> 12
A car has 12,500 miles on its odometer. Say the car is driven an average of 40 miles per day. Choose the model that expresses the number of miles N that will be on its odometer after x days. (a)
In Problems 7–22, solve each inequality. 6x² < 6 + 5x
In Problems 7–22, solve each inequality. x² + 7x < -12
In Problems 13–20, a linear function is given. (a) Find the slope and y-intercept of each function. (b) Use the slope and y-intercept to graph each function. (c) What is the average rate of
Multiple Choice If the graph of f(x) = ax2 + bx + c, a ≠ 0, has a maximum value at its vertex, which condition must be true? b ام (a) 2a (c) a > 0 0 b 2a (d) a < 0 (b)
In Problems 7–22, solve each inequality. 2x² < 5x + 3
Multiple Choice What is the only type of function that has a constant average rate of change? (a) Linear function (b) Quadratic function (c) Step function (d) Absolute value
Multiple Choice If b2 - 4ac > 0, which conclusion can be made about the graph of f(x) = ax2 + bx + c, a ≠ 0?(a) The graph has two distinct x-intercepts. (b) The graph has no
In Problems 14–16, determine whether the given quadratic function has a maximum value or a minimum value, and then find the value.f(x) = 3x2 -6x + 4
Professor Grant Alexander wanted to find a linear model that relates the number h of hours a student plays video games each week to the cumulative grade-point average G of the student. He randomly
In Problems 13–20, a linear function is given. (a) Find the slope and y-intercept of each function. (b) Use the slope and y-intercept to graph each function. (c) What is the average rate of
The price p (in dollars) and the quantity x sold of a certain product satisfy the demand equation.(a) Find a model that expresses the revenue R as a function of the price p. (b) What is the domain
In Problems 17 and 18, solve each quadratic inequality. x² + 6x 16 < 0
In Problems 19 and 20, find the quadratic function for which: Vertex is (2, -4); y-intercept is -16
The following data represent the square footage and rents (dollars per month) for apartments in the La Jolla area of San Diego, California. (a) Using a graphing utility, draw a scatter plot of the
In Problems 7–22, solve each inequality. 0=1+x-zx
The following data represent the birth rate (births per 1000 population) for women whose age is a, in 2016. (a) Using a graphing utility, draw a scatter plot of the data, treating age as the
In Problems 7–22, solve each inequality. x² - 2x + 4 > 0
In Problems 13–20, a linear function is given. F(x) = 4(a) Find the slope and y-intercept of each function. (b) Use the slope and y-intercept to graph each function. (c) What is the
Bill was just offered a sales position for a computer company. His salary would be $25,000 per year plus 1% of his total annual sales. (a) Find a linear function that relates Bill’s annual
In Problems 7–22, solve each inequality. 4x² + 9 < 6x
In Problems 7–22, solve each inequality. 6(r? − 1) > 5x -
In Problems 7–22, solve each inequality. 25x² + 16 40x
In Problems 7–22, solve each inequality. 2 (2x² 3x) > −9 -9
In Problems 21–28, determine whether each function is linear or nonlinear. If it is linear, determine the slope. X -2 -1 0 1 2 y = f(x) 1/4 1/2 1 2 4
In Problems 21–28, determine whether each function is linear or nonlinear. If it is linear, determine the slope. X -2 -1 0 1 2 y = f(x) -8 -3 0 1 0
In Problems 23–30, (a) Find the vertex and axis of symmetry of each quadratic function. (b) Determine whether the graph is concave up or concave down. (c) Graph the quadratic function. f(x) =
In Problems 23–30, f(x) = (x - 3)2 - 2(a) Find the vertex and axis of symmetry of each quadratic function. (b) Determine whether the graph is concave up or concave down. (c) Graph
In Problems 21–28, determine whether each function is linear or nonlinear. If it is linear, determine the slope. X -2 -1 0 1 2 y = f(x) - 4 0 4 8 12
In Problems 23–30, f(x) = -(x + 4)2 - 1(a) Find the vertex and axis of symmetry of each quadratic function. (b) Determine whether the graph is concave up or concave down. (c) Graph
In Problems 21–28, determine whether each function is linear or nonlinear. If it is linear, determine the slope. X -2 -1 0 1 2 y = f(x) -26 -4 2 -2 -10
In Problems 23–30, f(x) = -(1x - 3)2 + 5(a) Find the vertex and axis of symmetry of each quadratic function. (b) Determine whether the graph is concave up or concave down. (c) Graph
In Problems 21–28, determine whether each function is linear or nonlinear. If it is linear, determine the slope. X -2 -1 0 1 2 y = f(x) -4 -3.5 - 3 -2.5 -2
Problems 27–36 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
In Problems 23–30, (a) Find the vertex and axis of symmetry of each quadratic function. (b) Determine whether the graph is concave up or concave down. (c) Graph the quadratic function. f(x) =
In Problems 23–30, (a) Find the vertex and axis of symmetry of each quadratic function. (b) Determine whether the graph is concave up or concave down. (c) Graph the quadratic function. f(x) -
In Problems 23–30, (a) Find the vertex and axis of symmetry of each quadratic function. (b) Determine whether the graph is concave up or concave down. (c) Graph the quadratic function. f(x) = (x
In Problems 23–30, (a) Find the vertex and axis of symmetry of each quadratic function. (b) Determine whether the graph is concave up or concave down. (c) Graph the quadratic function. f(x) =
In Problems 21–28, determine whether each function is linear or nonlinear. If it is linear, determine the slope. X -2 -1 0 1 2 y = f(x) 8 8 00 00 8 8 8
In Problems 43–58, f(x) = x2 + 2x(a) Find the vertex and the axis of symmetry of each quadratic function, and determine whether the graph is concave up or concave down. (b) Find the
In Problems 21–28, determine whether each function is linear or nonlinear. If it is linear, determine the slope. X -2 -1 0 1 2 y = f(x) 0 1 4 9 16
Suppose that the quantity supplied S and the quantity demanded D of T-shirts at a concert are given by the following functions:Where p is the price of a T-shirt.(a) Find the equilibrium price for
The monthly cost C, in dollars, for calls from the United States to Germany on a certain wireless plan is modeled by the function C(x) = 0.26x + 5, where x is the number of minutes used.(a) What is
The cost C, in dollars, to tow a car is modeled by the function C(x) = 2.5x + 85, where x is the number of miles towed.(a) What is the cost of towing a car 40 miles? (b) If the cost of towing a
The function T(x) = 0.12(x - 9525) + 952.50 represents the tax bill T of a single person whose adjusted gross income is x dollars for income over $9525 but not over $38,700, in 2018.(a) What is the
Problems 27–36 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
The relationship between the height H of an adult male and the length x of his humerus, in centimeters, can be modeled by the linear function H(x) = 2.89x + 78.10.(a) If incomplete skeletal remains
The relationship between the height H of an adult female and the length x of her femur, in centimeters, can be modeled by the linear function H(x) = 2.47x + 54.10.(a) If incomplete skeletal remains
In Problems 43–58, (a) Find the vertex and the axis of symmetry of each quadratic function, and determine whether the graph is concave up or concave down. (b) Find the y-intercept and the
In Problems 43–58, (a) Find the vertex and the axis of symmetry of each quadratic function, and determine whether the graph is concave up or concave down. (b) Find the y-intercept and the
In Problems 43–58, (a) Find the vertex and the axis of symmetry of each quadratic function, and determine whether the graph is concave up or concave down. (b) Find the y-intercept and the
In Problems 43–58, f(x) = -x2 + 4x(a) Find the vertex and the axis of symmetry of each quadratic function, and determine whether the graph is concave up or concave down. (b) Find the
In Problems 43–58, (a) Find the vertex and the axis of symmetry of each quadratic function, and determine whether the graph is concave up or concave down. (b) Find the y-intercept and the
Under the 2017–2021 labor agreement between Major League Baseball and the players, any team whose payroll exceeded $195 million in 2017 had to pay a competitive balance tax of 50%. The linear
Problems 44–53 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
Problems 44–53 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
Problems 44–53 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find
Problems 44–53 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Write
Problems 44–53 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Find
In Problems 43–58, (a) Find the vertex and the axis of symmetry of each quadratic function, and determine whether the graph is concave up or concave down. (b) Find the y-intercept and the
In Problems 43–58, (a) Find the vertex and the axis of symmetry of each quadratic function, and determine whether the graph is concave up or concave down. (b) Find the y-intercept and the
In Problems 43–58, (a) Find the vertex and the axis of symmetry of each quadratic function, and determine whether the graph is concave up or concave down. (b) Find the y-intercept and the
In Problems 43–58, (a) Find the vertex and the axis of symmetry of each quadratic function, and determine whether the graph is concave up or concave down. (b) Find the y-intercept and the
In Problems 43–58, (a) Find the vertex and the axis of symmetry of each quadratic function, and determine whether the graph is concave up or concave down. (b) Find the y-intercept and the
According to Hooke’s Law, a linear relationship exists between the distance that a spring stretches and the force stretching it. Suppose a weight of 0.5 kilograms causes a spring to stretch 2.75
Problems 59–68 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
Problems 59–68 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. If
Problems 59–68 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
Problems 59–68 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
In Problems 65–72, determine, without graphing, whether the given quadratic function has a maximum value or a minimum value, and then find the value. f(x) = 3x² + 24x
In Problems 65–72, determine, without graphing, whether the given quadratic function has a maximum value or a minimum value, and then find the value. f(x) = 2x² + 12x
In Problems 65–72, determine, without graphing, whether the given quadratic function has a maximum value or a minimum value, and then find the value. f(x) = 2x² + 12x - 3
Problems 110–119 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
Problems 110–119 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
A lawn mower manufacturer has found that the revenue, in dollars, from sales of zero-turn mowers is a function of the unit price p, in dollars, that it charges. If the revenue R isWhat unit price p
In Problems 65–72, determine, without graphing, whether the given quadratic function has a maximum value or a minimum value, and then find the value. f(x) = -5x² + 20x + 3
The function f(x) = x2 is decreasing on the interval __________.
Problems 110–119 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final
In Problems 27–40, use transformations of the graph of y = x4 or y = x5 to graph each function. f(x) = 4(x - 2) 5
In Problems 27–40, use transformations of the graph of y = x4 or y = x5 to graph each function. f(x) = 2(x + 1)4 + 1
In Problems 27–40, use transformations of the graph of y = x4 or y = x5 to graph each function. f(x) = -x² 4
In Problems 49–58, find a polynomial function with the given real zeros whose graph contains the given point. Zeros: -2,0, 2 Degree 3 Point: (-4, 16)
In Problems 27–40, use transformations of the graph of y = x4 or y = x5 to graph each function. 1 f(x) = (x - 1)³-2
In Problems 27–40, use transformations of the graph of y = x4 or y = x5 to graph each function. f(x) = 3 = (x + 2) 4
In Problems 49–58, find a polynomial function with the given real zeros whose graph contains the given point. Zeros: 2, 0, 1, 3 Degree 4 :( - 12/2-63 2² Point:
In Problems 49–58, find a polynomial function with the given real zeros whose graph contains the given point. Zeros: -5, -1, 2,6 Degree 4 Point: 2,15
In Problems 27–40, use transformations of the graph of y = x4 or y = x5 to graph each function. f(x) = (x + 2)4 - 3
In Problems 27–40, use transformations of the graph of y = x4 or y = x5 to graph each function. f(x) = (x - 1)³ + 2 5
Problems 110–119 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
Problems 110–119 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.
Problems 110–119 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final

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