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jenyasd209 [6]
3 years ago
14

What is the quotient of the rational expression shown below? Make sure your answer is in reduced form x^2-4/x+3 divided x^2-4x+4

/4x+2
Mathematics
1 answer:
natita [175]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Given

\frac{x^2-4}{x+3} ÷ \frac{x^2-4x+4}{4x+2}

The first step is to factor numerators/denominators, if possible

x² - 4 = (x - 2)(x + 2) ← difference of squares

x² - 4x + 4 = (x - 2)(x - 2) ← perfect square

4x + 2 = 2(2x + 1)

To divide the expressions follow the steps

• Leave the first fraction

• Change division to multiplication

• Turn the second fraction upside down

We now have

\frac{(x-2)(x+2)}{x+3} × \frac{2(2x+1)}{(x-2)(x-2)}

Final step is to cancel common factors from the numerators/denominators

= \frac{2(2x+1)(x+2)}{(x+3)(x-2)} ← quotient


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<u>Step-by-step explanation</u>:

<u>step 1 </u>:

Mitch used 14 pounds of beef = 34 liters of beef strogonoff

'x' pounds of beef = 1 liter of beef strogonoff

<u>step 2</u> :

Rate = No. of pounds / No. of liters

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x = 14/34

x = 0.412

1 liter of beef strogonoff = 0.412 pounds of beef

<u>step 3</u> :

To make 6 times the recipe = 6 \times 0.412

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The correct answer for the question that is being presented above is this one: "b. $2.78." Andrew owns stock in Hyren Airlines and as a result gets paid dividends worth $539.70 every year. If Andrew owns 105 shares of Hyren Airlines, the dividend of each share yields <span>b. $2.78</span>
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Answer:

The exponent of the simplified power is 3

Step-by-step explanation:

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Answer:

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