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1 year ago

An aquarium has dimensions 2x feet, (x – 1) feet, and (x + 2) feet. The aquarium volume must be no more than 280 cubic feet.

Mathematics

2 answers:

Eddi Din [679]1 year ago

8 0

Answer:

(1, 5]

Step-by-step explanation:

Lina20 [59]1 year ago

5 0

Answer:

$x^3+x^2-2x\leq140$

Step-by-step explanation:

This is an algebra problem, and we are expected to inequality for the volume of the aquarium.

Given that the

length= 2x

width=(x – 1)

heigth= (x + 2)

and the volume= 280 ft^3

the inequality expression for the volume is

$2x*(x -1) * (x + 2) \leq 280\\\\$

open the brackets

$2x*(x -1) * (x + 2) \leq 280\\\\(2x^2-2x)*(x+2)\leq 280\\\\\2x^3+4x^2-2x^2-4x\leq 280\\\\\2x^3+2x^2-4x\leq280$

divide through by 2 we have

$x^3+x^2-2x\leq140$

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