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The area, A, in square feet, of the base of a rectangular storage bin in a warehouse is given by the function A(x) = -2x2+ 36x, where x is the width, in feet, of the storage bin.


Part B: The process of completing the square can be used to calculate the width, in feet, of the storage bin that gives a maximum area.

A(x) = -2x2 + 36x

A(x)= -2(x – 9)2 + ___

What is the missing value in the work shown?

A.
162

B.
-81

C.
-162

D.
81

Respuesta :

Answer:162

Step-by-step explanation:

Missing value in the equation of the storage bin that gives a maximum area is 162.

What is area?

" Area is the surface which represents the space occupied by any two dimensional object."

Formula used

(a -b)² =  a² -2ab + b²

According to the question we have ,

A(x) = -2x² +36x

= -2(x²- 18x)

= -2 ( x² - 18x ) + 2 (9)² - 2(9)²

= -2 (x² - 18x  + (9)²) + 2 (9)²

= -2 (x -9)² + 162

Hence  we conclude that  Option A is correct.

Learn more about Area here

https://brainly.com/question/20898622

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