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Liula [17]
3 years ago
12

A rain gutter along the edge of a roof has the shape of a rectangular prism. It is 7 inches7 inches high and 18 feet18 feet long

. It has a volume of 7 , 560 cubic inches.7,560 cubic inches. How wide is the​ gutter?
Mathematics
1 answer:
uysha [10]3 years ago
6 0

Answer: w = 5 inches is the width of the gutter

Step-by-step explanation:

Change 18 ft to inches: 12 * 18 = 216

let w = the width of the gutter

the volume equation:

216 * 7 * w = 7560

1512w = 7560

w = 7560/1512

w = 5 inches is the width of the gutter

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If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.
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Answer:

The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

<em></em>

Step-by-step explanation:

Given

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Required

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If f(8) = 0 then:

x = 8

And x - 8 is a factor

Divide f(x) by x - 8

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Expand the numerator

\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}

Rewrite as:

\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}

Factorize

\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}

Expand

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Multiply both sides by x - 8

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