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fgiga [73]
3 years ago
11

Malik earned $2,344.55 fixing computers. He charged $35.50 per hour. Which expression does NOT use appropriate compatible number

s to estimate the total number of hours he worked?
A. 2,400 ÷ 30
B. 2,400 ÷ 40
C. 2,000 ÷ 40
D. 2,000 ÷ 30
Mathematics
1 answer:
Mademuasel [1]3 years ago
3 0
I will say b 2,400 and some else
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Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

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Translating the word problem into an algebraic expression;

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H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

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Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

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Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

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