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For numbers 22 – 23 only, refer to the given problem below. The sum of two numbers is 12. 22. If x is one of the numbers, which quadratic function will represent the product P of the two numbers? A. P(x) = x (x + 12) C. P(x) = 2x (x + 6) B. P(x) = x (12 – x) D. P(x) = 2x(6 – x) 23. What numbers will give the maximum product? A. 4 and 8 B. 5 and 7 C. 6 and 6 D. 2 and 10

For numbers 22 – 23 only, refer to the given problem below. The sum of two numbers is 12. 22. If x is one of the numbers, which quadratic function will represent the product P of the two numbers? A. P(x) = x (x + 12) C. P(x) = 2x (x + 6) B. P(x) = x (12 – x) D. P(x) = 2x(6 – x) 23. What numbers will give the maximum product? A. 4 and 8 B. 5 and 7 C. 6 and 6 D. 2 and 10

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 50PFA
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For numbers 22 – 23 only, refer to the given problem below. The sum of two numbers is 12. 22. If x is one of the numbers, which quadratic function will represent the product P of the two numbers? A. P(x) = x (x + 12) C. P(x) = 2x (x + 6) B. P(x) = x (12 – x) D. P(x) = 2x(6 – x) 23. What numbers will give the maximum product? A. 4 and 8 B. 5 and 7 C. 6 and 6 D. 2 and 10 24. A bottle manufacturer has daily production cost of C = 1600 – 20x + 0.5x². How many bottles, x, should be produced each day to have a minimum cost C? А. 15 В. 20 C. 25 D. 30 25. A tennis ball is hit into the air. The height of the ball h(t), in feet, at time t, in seconds, is modeled by the equation: h(t) = -16t + 64t + 4. What is the interval time when the height of the ball is greater than or equal to 52 ft? A. 1<ts2 B. 1<t<3 C. 2<ts 3 D. 2<ts 4 -END-
Transcribed Image Text:For numbers 22 – 23 only, refer to the given problem below. The sum of two numbers is 12. 22. If x is one of the numbers, which quadratic function will represent the product P of the two numbers? A. P(x) = x (x + 12) C. P(x) = 2x (x + 6) B. P(x) = x (12 – x) D. P(x) = 2x(6 – x) 23. What numbers will give the maximum product? A. 4 and 8 B. 5 and 7 C. 6 and 6 D. 2 and 10 24. A bottle manufacturer has daily production cost of C = 1600 – 20x + 0.5x². How many bottles, x, should be produced each day to have a minimum cost C? А. 15 В. 20 C. 25 D. 30 25. A tennis ball is hit into the air. The height of the ball h(t), in feet, at time t, in seconds, is modeled by the equation: h(t) = -16t + 64t + 4. What is the interval time when the height of the ball is greater than or equal to 52 ft? A. 1<ts2 B. 1<t<3 C. 2<ts 3 D. 2<ts 4 -END-
16. What is the general form of the quadratic function g(x) = (x – 2 )² + 1? A. g(x) = x2 – 4x – 5 B. g(x) = x² – 4x -4 C. g(x) = x2 – 4x + 3 D. g(x) = x2 – 4x + 5 17. Which quadratic function is written in vertex form? A. f(x) = 2x? + 4x + 1 B. f(x) = 2(x + 1)² – 3 C. f(x) = 5x(x – 2) + 7 D. f(x) = (5x? – x) – (9x – 7) 18. What is the range of the function represented by the graph on the right side? А. У> -1 В. у< -1 С. у 2 -1 D. y<-1 19. What is the vertex of the function f(x) = (x – 2)? + 3? В. (2,3) А. (-2,-4) С. (-2,3) D. (2,-4) 20. What is the vertex of the parabola on the given graph? A. (- 6, 5) В. (-5, 6) C. (5, – 6) D. (6, – 5) 21. Which of the following quadratic function has the narrowest graph? A. f(x) = x? B. g(x) = 2x? C. h(x) = 3x? D. k(x) = 4x?
Transcribed Image Text:16. What is the general form of the quadratic function g(x) = (x – 2 )² + 1? A. g(x) = x2 – 4x – 5 B. g(x) = x² – 4x -4 C. g(x) = x2 – 4x + 3 D. g(x) = x2 – 4x + 5 17. Which quadratic function is written in vertex form? A. f(x) = 2x? + 4x + 1 B. f(x) = 2(x + 1)² – 3 C. f(x) = 5x(x – 2) + 7 D. f(x) = (5x? – x) – (9x – 7) 18. What is the range of the function represented by the graph on the right side? А. У> -1 В. у< -1 С. у 2 -1 D. y<-1 19. What is the vertex of the function f(x) = (x – 2)? + 3? В. (2,3) А. (-2,-4) С. (-2,3) D. (2,-4) 20. What is the vertex of the parabola on the given graph? A. (- 6, 5) В. (-5, 6) C. (5, – 6) D. (6, – 5) 21. Which of the following quadratic function has the narrowest graph? A. f(x) = x? B. g(x) = 2x? C. h(x) = 3x? D. k(x) = 4x?
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