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A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less than the height of the prism. The length of the base must be 6 meters more than the width of the base. Find the maximum height of the prism.
Let x = the height of the prism
x – 9 = the width of the base
A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less than the height of the prism. The length of the base must be 6 meters more than the width of the base. Find the maximum height of the prism.
Let x = the height of the prism
x – 9 = the width of the base
x -3 = the length of the prism

Select the inequality that represents the problem.

x2 – 3 x – 81 ≤ 0

x2 – 3 x – 27 ≤ 0

x2 – 12 x – 27 ≤ 0

x2 – 12 x ≤ 0

Respuesta :

Answer: Choice D) [tex]x^2 - 12x \le 0[/tex]

The base has length x-3 and width x-9 which multiplies out to (x-3)(x-9) = x^2-12x+27

This area must be 27 square meters or less, so we set that expression less than or equal to 27

[tex]x^2-12x+27 \le 27[/tex]

then we subtract 27 from both sides to get the final answer

andreagene04

Answer:

D.)

Step-by-step explanation:

It make the most sense. I also jus got it right on the quiz.

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