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mariarad [96]
3 years ago
9

(07.08)

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0

If the given expression is simplified we get a. -4x² - 3x + 2.

Explanation:

  • The numerator has three terms while the denominator only has one term. We divide the numerator terms each separately with the denominator term.
  • So 8x³ + 6x² - 4x / -2x becomes (8x³ / -2x) + (6x² / -2x) + (- 4x/ -2x).
  • The simplification of the first term; 8 / -2 = -4, x³ / x = x². So the first term is -4x².
  • The simplification of the second term; 6 / -2 = -3, x² / x = x. So the second term is -3x.
  • The simplification of the third term; -4 / -2 = 2, x / x = 1. So the third term is 2.
  • Adding all the terms we get -4x² - 3x + 2. This is the option a.
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<h3>What is of volume of rectangular prism?</h3>

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

V=w\times h\times l

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A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,

V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3

To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,

n=8160\times2.5\\n=20400\rm\; btus

Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.



Learn more about the volume of a rectangular prism here;

brainly.com/question/4016105

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