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Delvig [45]
2 years ago
7

Factor 3x^3 - 15x^2 + 18x.

Mathematics
1 answer:
Usimov [2.4K]2 years ago
8 0

Step-by-step explanation:

3 x^3-15x^2+18x 3(x^3-5x^2+6x)

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Answer: Height = 20 inches

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Step-by-step explanation:

The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as

Volume = LWH

Where L,W and H represents the length, width and height of the box.

The aquarium holding African cichlids is 6 inches higher than it is wide. It means that

H = W + 6

Its length is 33 inches, and its volume is 9240 cubic inches. It means that

9240 = 33W(W + 6)

9240/33 = W(W + 6)

280 = W² + 6W

W² + 6W + (6/2)² = 280 + (6/2)²

(W + 3)² = 280 + 9 = 289

Taking square root of both sides, it becomes

W + 3 = √289 = 17

W = 17 - 3

W = 14

H = W + 6 = 14 + 6

H = 20

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