a. Explanation Given: Position function of the ball, s ( t ) = 1 2 a t 2 + v 0 t + s 0 . Given points in the graph, ( 2 , 198 ) , ( 5 , 246 ) , and ( 8 , 6 ) . Calculation: Since the given points represented by ( t , s ( t ) ) lie on the graph for position function, they satisfy the equation. Substitute t = 2 and s ( 2 ) = 198 , in the position function. s ( 2 ) = 1 2 a ( 2 ) 2 + v 0 ( 2 ) + s 0 198 = 2 a + 2 v 0 + s 0 Substitute t = 5 and s ( 5 ) = 246 , in the position function. s ( 5 ) = 1 2 a ( 5 ) 2 + v 0 ( 5 ) + s 0 246 = 25 2 a + 5 v 0 + s 0 492 = 25 a + 10 v 0 + 2 s 0 Substitute t = 8 and s ( 8 ) = 6 , in the position function. s ( 8 ) = 1 2 a ( 8 ) 2 + v 0 ( 8 ) + s 0 6 = 32 a + 8 v 0 + s 0 This gives a system of linear equations, { 2 a + 2 v 0 + s 0 = 198 25 a + 10 v 0 + 2 s 0 = 492 32 a + 8 v 0 + s 0 = 6 Write the augmented matrix for the system of equations above. A = [ 2 2 1 198 25 10 2 492 32 8 1 6 ] . Use Gauss-Jordan elimination to find the reduced row echelon form performing row operations in the matrix above. Apply ( R 1 ↔ R 3 ) in the above matrix [ 32 8 1 6 25 10 2 492 2 2 1 198 ] Apply ( R 2 → R 2 − 25 32 R 1 ) in the above matrix [ 32 8 1 6 0 15 4 39 32 7797 16 2 2 1 198 ] Apply ( R 3 → R 3 − 1 16 R 1 ) in the above matrix [ 32 8 1 6 0 15 4 39 32 7797 16 0 b. To determine To solve: The value of s ( 7 ) and interpret the result. c. To determine To solve: The number of seconds after which the football reaches maximum height and the corresponding maximum height.

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ISBN: 9781323261996

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Publisher: Pearson Custom Publishing

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Chapter 6.1, Problem 46E

To determine

To solve: A system of linear equations from labeled points in the graph using matrices.

To determine

To solve: The value of s(7) and interpret the result.

To determine

To solve: The number of seconds after which the football reaches maximum height and the corresponding maximum height.

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Chapter 6.1, Problem 45E

Chapter 6.1, Problem 47E

Chapter 6 Solutions

BLITZER COLLEGE ALGEBRA ESSENTIALS

Ch. 6.1 - Prob. 1CP Ch. 6.1 - Prob. 2CP Ch. 6.1 - Prob. 3CP Ch. 6.1 - Prob. 4CP Ch. 6.1 - Prob. 1CVC Ch. 6.1 - Prob. 2CVC Ch. 6.1 - Prob. 3CVC Ch. 6.1 - Prob. 4CVC Ch. 6.1 - Prob. 5CVC Ch. 6.1 - Prob. 6CVC

Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Prob. 13E Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - Prob. 39E Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Prob. 43E Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Write a system of linear equations in three or...Ch. 6.1 - Prob. 48E Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.1 - Prob. 51E Ch. 6.1 - Prob. 52E Ch. 6.1 - Prob. 53E Ch. 6.1 - Prob. 54E Ch. 6.1 - Prob. 55E Ch. 6.1 - Prob. 56E Ch. 6.1 - Prob. 57E Ch. 6.1 - Prob. 58E Ch. 6.1 - Prob. 59E Ch. 6.1 - Prob. 60E Ch. 6.1 - Prob. 61E Ch. 6.1 - Prob. 62E Ch. 6.1 - Prob. 63E Ch. 6.1 - Prob. 64E Ch. 6.1 - Prob. 65E Ch. 6.1 - Prob. 66E Ch. 6.1 - The table shows the daily production level and...Ch. 6.1 - Prob. 68E Ch. 6.1 - Prob. 69E Ch. 6.1 - Prob. 70E Ch. 6.2 - Prob. 1CP Ch. 6.2 - Prob. 2CP Ch. 6.2 - Prob. 3CP Ch. 6.2 - Prob. 4CP Ch. 6.2 - Prob. 1CVC Ch. 6.2 - Prob. 2CVC Ch. 6.2 - Prob. 3CVC Ch. 6.2 - Prob. 4CVC Ch. 6.2 - Prob. 5CVC Ch. 6.2 - Prob. 1E Ch. 6.2 - Prob. 2E Ch. 6.2 - Prob. 3E Ch. 6.2 - Prob. 4E Ch. 6.2 - Prob. 5E Ch. 6.2 - Prob. 6E Ch. 6.2 - Prob. 7E Ch. 6.2 - Prob. 8E Ch. 6.2 - Prob. 9E Ch. 6.2 - Prob. 10E Ch. 6.2 - Prob. 11E Ch. 6.2 - Prob. 12E Ch. 6.2 - Prob. 13E Ch. 6.2 - Prob. 14E Ch. 6.2 - Prob. 15E Ch. 6.2 - Prob. 16E Ch. 6.2 - Prob. 17E Ch. 6.2 - Prob. 18E Ch. 6.2 - Prob. 19E Ch. 6.2 - Prob. 20E Ch. 6.2 - Prob. 21E Ch. 6.2 - Prob. 22E Ch. 6.2 - Prob. 23E Ch. 6.2 - Prob. 24E Ch. 6.2 - Prob. 25E Ch. 6.2 - Prob. 26E Ch. 6.2 - Prob. 27E Ch. 6.2 - Prob. 28E Ch. 6.2 - Prob. 29E Ch. 6.2 - Prob. 30E Ch. 6.2 - Prob. 31E Ch. 6.2 - Prob. 32E Ch. 6.2 - Prob. 33E Ch. 6.2 - Prob. 34E Ch. 6.2 - Prob. 35E Ch. 6.2 - Prob. 36E Ch. 6.2 - Prob. 37E Ch. 6.2 - Prob. 38E Ch. 6.2 - Prob. 39E Ch. 6.2 - Prob. 41E Ch. 6.2 - Prob. 42E Ch. 6.2 - Prob. 43E Ch. 6.2 - Prob. 44E Ch. 6.2 - Prob. 45E Ch. 6.2 - Prob. 47E Ch. 6.2 - Prob. 48E Ch. 6.2 - Prob. 49E Ch. 6.3 - Prob. 1CP Ch. 6.3 - Prob. 2CP Ch. 6.3 - Prob. 3CP Ch. 6.3 - Prob. 4CP Ch. 6.3 - Prob. 5CP Ch. 6.3 - Prob. 6CP Ch. 6.3 - Prob. 7CP Ch. 6.3 - Prob. 8CP Ch. 6.3 - Prob. 9CP Ch. 6.3 - Prob. 1CVC Ch. 6.3 - Prob. 2CVC Ch. 6.3 - Prob. 3CVC Ch. 6.3 - Prob. 4CVC Ch. 6.3 - Prob. 5CVC Ch. 6.3 - Prob. 6CVC Ch. 6.3 - Prob. 7CVC Ch. 6.3 - Prob. 8CVC Ch. 6.3 - Prob. 9CVC Ch. 6.3 - Prob. 10CVC Ch. 6.3 - Prob. 1E Ch. 6.3 - Prob. 2E Ch. 6.3 - Prob. 3E Ch. 6.3 - Prob. 4E Ch. 6.3 - Prob. 5E Ch. 6.3 - Prob. 6E Ch. 6.3 - Prob. 7E Ch. 6.3 - Prob. 8E Ch. 6.3 - Prob. 9E Ch. 6.3 - Prob. 10E Ch. 6.3 - Prob. 11E Ch. 6.3 - Prob. 12E Ch. 6.3 - Prob. 13E Ch. 6.3 - Prob. 14E Ch. 6.3 - Prob. 15E Ch. 6.3 - Prob. 16E Ch. 6.3 - Prob. 17E Ch. 6.3 - Prob. 18E Ch. 6.3 - Prob. 19E Ch. 6.3 - Prob. 20E Ch. 6.3 - Prob. 21E Ch. 6.3 - Prob. 22E Ch. 6.3 - Prob. 23E Ch. 6.3 - Prob. 24E Ch. 6.3 - Prob. 25E Ch. 6.3 - Prob. 26E Ch. 6.3 - Prob. 27E Ch. 6.3 - Prob. 28E Ch. 6.3 - Prob. 29E Ch. 6.3 - Prob. 30E Ch. 6.3 - Prob. 31E Ch. 6.3 - Prob. 32E Ch. 6.3 - Prob. 33E Ch. 6.3 - Prob. 34E Ch. 6.3 - Prob. 35E Ch. 6.3 - Prob. 36E Ch. 6.3 - Prob. 37E Ch. 6.3 - Prob. 38E Ch. 6.3 - Prob. 39E Ch. 6.3 - Prob. 40E Ch. 6.3 - Prob. 41E Ch. 6.3 - Prob. 42E Ch. 6.3 - Prob. 43E Ch. 6.3 - Prob. 44E Ch. 6.3 - Prob. 45E Ch. 6.3 - Prob. 46E Ch. 6.3 - Prob. 47E Ch. 6.3 - Prob. 48E Ch. 6.3 - Prob. 49E Ch. 6.3 - Prob. 50E Ch. 6.3 - Prob. 51E Ch. 6.3 - Prob. 52E Ch. 6.3 - Prob. 53E Ch. 6.3 - Prob. 54E Ch. 6.3 - Prob. 55E Ch. 6.3 - Prob. 56E Ch. 6.3 - Prob. 57E Ch. 6.3 - Prob. 58E Ch. 6.3 - Prob. 59E Ch. 6.3 - Prob. 60E Ch. 6.3 - Prob. 61E Ch. 6.3 - Prob. 62E Ch. 6.3 - Prob. 63E Ch. 6.3 - Prob. 64E Ch. 6.3 - Prob. 65E Ch. 6.3 - Prob. 66E Ch. 6.3 - Prob. 67E Ch. 6.3 - Prob. 68E Ch. 6.3 - Prob. 69E Ch. 6.3 - Prob. 70E Ch. 6.3 - Prob. 71E Ch. 6.3 - Prob. 72E Ch. 6.3 - Prob. 73E Ch. 6.3 - Prob. 74E Ch. 6.3 - Prob. 75E Ch. 6.3 - Prob. 77E Ch. 6.3 - Prob. 78E Ch. 6.3 - Make Sense? In Exercises 77–80, determine whether...Ch. 6.3 - Prob. 80E Ch. 6.3 - Prob. 81E Ch. 6.3 - Prob. 82E Ch. 6.3 - Prob. 83E Ch. 6.3 - Prob. 85E Ch. 6.3 - Prob. 86E Ch. 6.3 - Prob. 87E Ch. 6.4 - Prob. 1CP Ch. 6.4 - Prob. 2CP Ch. 6.4 - Prob. 3CP Ch. 6.4 - Prob. 4CP Ch. 6.4 - Prob. 5CP Ch. 6.4 - Use the coding matrix in Example 6, , to encode...Ch. 6.4 - Prob. 7CP Ch. 6.4 - Prob. 1CVC Ch. 6.4 - Prob. 2CVC Ch. 6.4 - Prob. 3CVC Ch. 6.4 - Prob. 4CVC Ch. 6.4 - Prob. 5CVC Ch. 6.4 - Prob. 6CVC Ch. 6.4 - Prob. 7CVC Ch. 6.4 - Prob. 8CVC Ch. 6.4 - Prob. 9CVC Ch. 6.4 - Prob. 1E Ch. 6.4 - Prob. 2E Ch. 6.4 - Prob. 3E Ch. 6.4 - Prob. 4E Ch. 6.4 - Prob. 5E Ch. 6.4 - Prob. 6E Ch. 6.4 - Prob. 7E Ch. 6.4 - Prob. 8E Ch. 6.4 - Prob. 9E Ch. 6.4 - Prob. 10E Ch. 6.4 - Prob. 11E Ch. 6.4 - Prob. 12E Ch. 6.4 - Prob. 13E Ch. 6.4 - Prob. 14E Ch. 6.4 - Prob. 15E Ch. 6.4 - Prob. 16E Ch. 6.4 - Prob. 17E Ch. 6.4 - Prob. 18E Ch. 6.4 - Prob. 19E Ch. 6.4 - Prob. 20E Ch. 6.4 - Prob. 21E Ch. 6.4 - Prob. 22E Ch. 6.4 - Prob. 23E Ch. 6.4 - 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Prob. 70E Ch. 6.5 - Prob. 71E Ch. 6.5 - Prob. 72E Ch. 6.5 - Prob. 73E Ch. 6.5 - Prob. 74E Ch. 6.5 - Prob. 75E Ch. 6.5 - Prob. 77E Ch. 6.5 - Prob. 78E Ch. 6.5 - Exercises 77–79 will help you prepare for the...Ch. 6 - Prob. 1MC Ch. 6 - Prob. 2MC Ch. 6 - Prob. 3MC Ch. 6 - Prob. 4MC Ch. 6 - Prob. 5MC Ch. 6 - Prob. 6MC Ch. 6 - Prob. 7MC Ch. 6 - Prob. 8MC Ch. 6 - Prob. 9MC Ch. 6 - Prob. 10MC Ch. 6 - Prob. 1RE Ch. 6 - Prob. 2RE Ch. 6 - Prob. 3RE Ch. 6 - Prob. 4RE Ch. 6 - Prob. 5RE Ch. 6 - Prob. 6RE Ch. 6 - Prob. 7RE Ch. 6 - Prob. 8RE Ch. 6 - Prob. 9RE Ch. 6 - Prob. 10RE Ch. 6 - Prob. 11RE Ch. 6 - Prob. 12RE Ch. 6 - Prob. 13RE Ch. 6 - Prob. 14RE Ch. 6 - Prob. 15RE Ch. 6 - Prob. 16RE Ch. 6 - Prob. 17RE Ch. 6 - Prob. 18RE Ch. 6 - Prob. 19RE Ch. 6 - Prob. 20RE Ch. 6 - Prob. 21RE Ch. 6 - Prob. 22RE Ch. 6 - Prob. 23RE Ch. 6 - Prob. 24RE Ch. 6 - Prob. 25RE Ch. 6 - Prob. 26RE Ch. 6 - Prob. 27RE Ch. 6 - Prob. 28RE Ch. 6 - Prob. 29RE Ch. 6 - Prob. 30RE Ch. 6 - Prob. 31RE Ch. 6 - Prob. 32RE Ch. 6 - Prob. 33RE Ch. 6 - 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