(a) To determine To calculate: the values of the constant a , b while the stopping distance in feet can be modelled by the equations y = a x 2 + b x where, x is the speed of car in mph. Explanation Given: The stopping distance for a car traveling 25 mph is 61.7 feet, and for a car traveling 35 mph it is 106 feet Calculation: Consider the modeling equations: y = a x 2 + b x As the stopping distance for a car traveling 25 mph is 61.7 feet that is y = 61.7 for x = 25 therefore, a ( 25 ) 2 + b ( 25 ) = 61.7 That is: 625 a + 25 b = 61.7 … … ( 1 ) As the stopping distance for a car traveling 35 mph is 106 feet that is y = 106 for x = 35 therefore, a ( 35 ) 2 + b ( 35 ) = 106 That is: 1225 a + 35 b = 106 … … ( 2 ) Therefore, the system of equation ( 1 ) and ( 2 ) can be written in the matrix form as: [ 625 25 1225 35 ] [ a b ] = [ 61.7 106 ] Therefore, the corresponding augmented matrix is: A ¯ = [ 625 25 61 (b) To determine To calculate: the stopping distance for a car travelling at 55 mph.

Mathematics With Applications, Loose-leaf Edition Plus Mylab Math With Pearson Etext -- 18-week Access Card Package (12th Edition)

12th Edition

ISBN: 9780135998304

Author: Margaret L. Lial, Tom Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Chapter 6.3, Problem 24E

(a)

To determine

To calculate: the values of the constant a,b while the stopping distance in feet can be modelled by the equations y=ax2+bx where, x is the speed of car in mph.

(b)

To determine

To calculate: the stopping distance for a car travelling at 55 mph.

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Chapter 6.3, Problem 23E

Chapter 6.3, Problem 19E

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Chapter 6 Solutions

Mathematics With Applications, Loose-leaf Edition Plus Mylab Math With Pearson Etext -- 18-week Access Card Package (12th Edition)

Ch. 6.1 - Checkpoint1 Use the substitution method tosolve...Ch. 6.1 - Checkpoint 2 Use the elimination method to solve...Ch. 6.1 - Checkpoint 3 Solve the system of equations . Draw...Ch. 6.1 - Checkpoint 4 Solve the following system: Ch. 6.1 - Checkpoint 5 Solve the system Draw the graph of...Ch. 6.1 - Prob. 6CP Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Use substitution to solve each system. (See...Ch. 6.1 - Use substitution to solve each system. (See...

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