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3 years ago

Complete the sentence.

Mathematics

1 answer:

Over [174]3 years ago

5 0

Answer:

Step-by-step explanation:

The horizontal asymtote is when there are no solutions for x, so it is when y = -10.

This is because when y = -10, 0.8^x must be 0, but this is impossible. You can test this by trying 4^x/5^x. It will get super small, but never 0.

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The volume of a rectangular prism is (x3 – 3x2 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular pri

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To solve the problem we will put the values given to us in the formula of volume of a prism.

<h2>Prism</h2>

A prism is a 3d shape whose two sides are the base sides which are polygon, with the other faces as parallelograms.

The height of the prism is $\dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}$ .

<h2>Explanation</h2>

Given to us

volume of a rectangular prism = (x3 – 3x2 5x – 3),
area of its base = (x2 – 2)
the volume of a rectangular prism is the product of its base area and height,

As given to us,

$\rm{ Volume\ of\ prism = Area\ of\ base \times Height$

$\rm{ Height=\dfrac{Volume\ of\ prism}{Area\ of\ base}$

Substituting the values we get,

$\rm{ Height=\dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}$

Hence, the height of the prism is $\dfrac{(x^3-3x^2+5x-3)}{(x^2-2)}$ .

Learn more about Volume of Prism:

brainly.com/question/1578538

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