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The volume of an Amazon package is given by the function below.

8x^3+30x^2+13x−15


A. What is the area of the bottom of the box if the width is (4x+5) and the length is (x+3)?

B. Using the volume formula, find the height of the package. (V=lwh)

Please show work

Respuesta :

umairkazi924

Answer:

Step-by-Step Explanation:

Area of the base = length × breadth

= (4x + 5) (x + 3)

= 4x(x + 3) + 5(x + 3)

= 4x² + 12x + 5x + 15

= 4x² + 17x + 15

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Volume = length × breadth × height

8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h

[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]

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