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11Alexandr11 [23.1K]
3 years ago
10

A rectangular box has a perimeter of 36 inches. Which of the following equations represents the area of the rectangular box in t

erms of its width, w?
a. A = 36w - w2 b. A = 18w - w2 c. A = 36 - w2 d. A = 18 - w2
Mathematics
1 answer:
densk [106]3 years ago
3 0
The answers is a hope helps
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The polynomial f(x) is written in factored form:
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Answer:

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A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is
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Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = w+12 inches

As given, 4 inch squares are cut from each corner;

So, the width is = w-8 inches

Length is = w+12-8=w+4 inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, 256=(w+4)(w-8)(4)

=> 256=(w^{2}-4w-32)4

=> 64=(w^{2}-4w-32)

=> w^{2} -4w=96

or w^{2} -4w-96=0

=> w^{2} -12w+8w-96=0

=> w(w-12)+8(w-12)=0

We get , (w+8)=0 ; w = -8(neglect the negative value)

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And length = 12+12=24 inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : 256=(w+4)(w-8)(4)

256=(12+4)(12-8)(4)

=> 256=(16)(4)(4)

=> 256=256

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Step-by-step explanation:

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Answer: −22

Step-by-step explanation:

=−14−8

=−14+−8

=−22

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