Explanation Given: The equation that represents the change in pressure in certain fire hose is given as p = 2.3 t 2 − 9.2 t , where t is the time in minutes. Result used: The vertex and the y -intercept of the quadratic function y = a x 2 + b x + c is ( − b 2 a , f ( − b 2 a ) ) and ( 0 , c ) . Description: Compare the equation p = 2.3 t 2 − 9.2 t with the general quadratic equation . y = a x 2 + b x + c p = 2.3 t 2 − 9.2 t + 0 From the above, the value of a , b and c are observed to be 2.3, −9.2 and 0 respectively. Compute the vertex as follows. Substitute a = 2.3 and b = − 9.2 in − b 2 a . − b 2 a = − ( − 9.2 ) 2 ( 2.3 ) = 9.2 4.6 = 2 Thus, the t- coordinate of the vertex is 2. Substitute x = 2 in p = 2.3 t 2 − 9.2 t and obtain the p -coordinate of the vertex as follows. p = 2.3 ( 2 ) 2 − 9.2 ( 2 ) = 9.2 − 18.4 = − 9

11th Edition

ISBN: 9780134508290

Author: Evans

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Chapter 7, Problem 80RE

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To sketch: The graph of the function p=f(t) for t<5 min.

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Chapter 7, Problem 79RE

Chapter 7, Problem 81RE

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Chapter 7 Solutions

EBK BASIC TECHNICAL MATHEMATICS

Ch. 7.1 - Solve for x: x2 + 4x − 21 = 0 Ch. 7.1 - Prob. 2PE Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E

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All...Ch. 7.3 - Prob. 43E Ch. 7.3 - Prob. 44E Ch. 7.3 - Prob. 45E Ch. 7.3 - Prob. 46E Ch. 7.3 - Prob. 47E Ch. 7.3 - Prob. 48E Ch. 7.3 - Prob. 49E Ch. 7.3 - In Exercises 39–62, solve the given problems. 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The graph of the function p = f ( t ) for t &lt; 5 min .

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To sketch: The graph of the function p=f(t) for t<5 min.

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Chapter 7 Solutions

The graph of the function p = f ( t ) for t < 5 min .