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____ [38]
3 years ago
15

Express the quotient in simplest form. x^2 - 4/ x^3 + 7x^2 divided by x^3 - x^2 - 6x/x^2 + 4x - 21

Mathematics
1 answer:
amm18123 years ago
8 0

You must first transform into a multiplication and then factor to see what you can eliminate.

Explanation:

To transform a fractional division into a multiplication, you have to inverse the numerator and the denominator of the second fraction.

<span><span><span><span>x2</span>−4</span><span><span>x3</span>+7<span>x2</span></span></span>×<span><span><span>x2</span>+4x−21</span><span><span>x3</span>−<span>x2</span>−6x</span></span></span>

<span><span><span><span>(x+2)</span><span>(x−2)</span></span><span><span>x2</span><span>(x+7)</span></span></span>×<span><span><span>(x+7)</span><span>(x−3)</span></span><span>x<span>(x−3)</span><span>(x+2)</span></span></span></span>

Since <span><span>aa</span>=1,a=</span> all real numbers, we can proceed by eliminating factors that appear in the numerator and the denominator.

We are left with <span><span><span>x−2/</span><span>x^3</span></span></span>

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Step-by-step explanation:

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2 years ago
A telemarketer earns $150 a week plus $2 for each call that results in sale. Last week she earned a total of $204. How many of h
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Answer:

27 calls

Step-by-step explanation:

Let T(x) represent total sales.

Then T(x) = $150 + ($2/call)x, where x is the number of calls made.

If T(x)        = $204, we can solve for x, the number of calls made:

$204 = $150 + ($2/call)x, or

 $ 54

----------- = 27 calls

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3 years ago
What is the formula for the sum of the interior angles of a polygon
andrey2020 [161]

Answer:

Sum of the interior angles = (n-2) x 180°

where

n is the number of sides of the polygon

Step-by-step explanation:

The formula for the sum of the interior angles of a polygon is:

sum=(n-2)*180

where

sum is the sum of the interior angle of the polygon

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Let's check the formula using an example:

We want to find the sum of the interior angles of a square, we know that a square has 4 sides, so n=4.

Replacing values

sum=(4-2)*180

sum=(2)*180

sum=360

We can apply the same procedure to any convex polygon with n sides.

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The correct answer is letter C
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What is the mean of the values in the dot plot?<br><br> Enter your answer in the box.
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Answer:45.3333333333333333333333333333333333333333333...

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