Explanation Given Information: A parabola represented by the equation 6600 + 360 x − 30 x 2 = y is provided with x intercepts as ( 22 , 0 ) and ( − 10 , 0 ) . Formula used: For a parabola having a general form as, a x 2 + b x + c = y − d As a parabola are symmetric, the highest point on the parabola is halfway between the x-intercepts. Calculation: Consider the equation of the parabola provided in the question, 6600 + 360 x − 30 x 2 = y The graph of the above parabola is plotted as, As the highest point in a parabola lies midway between the two x-intercepts that is ( − 10 , 0 ) and ( 22 , 0 ) as the parabola is symmetric about that point. Here, ( 6 , 0 ) is the point of midway between the intercepts with x = 6 as the line of symmetry. Therefore, the highest point on the parabola will lie on x = 6 line

1st Edition

ISBN: 9781259218859

Author: David Sobecki Professor, Brian A. Mercer

Publisher: McGraw-Hill Education

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

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Chapter 4.8, Problem 6A

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To calculate: The highest point of the graph of a parabola represented by the equation 6600+360x−30x2=y with x intercepts as (22,0) and (−10,0). And, also tell what it tells you about the nighclub cover charge and revenue.

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Chapter 4.8, Problem 5A

Chapter 4.9, Problem 0LO

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The highest point of the graph of a parabola represented by the equation 6600 + 360 x − 30 x 2 = y with x intercepts as ( 22 , 0 ) and ( − 10 , 0 ) . And, also tell what it tells you about the nighclub cover charge and revenue.

Solution Summary: The author calculates the highest point of the graph of a parabola represented by the equation 6600+360x-30x2=y with x intercepts as (22,0

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To calculate: The highest point of the graph of a parabola represented by the equation 6600+360x−30x2=y with x intercepts as (22,0) and (−10,0). And, also tell what it tells you about the nighclub cover charge and revenue.

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