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Dimas [21]
3 years ago
7

Which of the following is the quotient of the rational expressions shown here?

Mathematics
2 answers:
svetoff [14.1K]3 years ago
3 0

For this case we must find the quotient of the following expression:

\frac {\frac {x} {x-1}} {\frac {1} {x + 1}}

Applying double C we have the following expression:

\frac {x (x + 1)} {x-1} =

Applying distributive property to the terms within the parentheses of the numerator we have:

\frac {x ^ 2 + x} {x-1}

Thus, the quotient is given by option A

Answer:

Option A

Likurg_2 [28]3 years ago
3 0

Answer:

The answer is option A. (x^2 + x)/(x-1)

Step-by-step explanation:

To solve this problem, we must first understand how to divide fractions.  When dividing fractions, the first fraction is unchanged and is multiplied by the reciprocal of the second fraction.  If we apply this knowledge to this problem, we get:

x/x-1 * x+1/1

When we multiply fractions, we simply multiply both of the numerators together and both of the denominators together to create a single fraction.

In this case we get:

x(x+1)/x-1

When we simplify this single fraction by using the distributive property, we get the following:

(x^2 + x)/(x-1)

Therefore, your answer is option A.

Hope this helps!

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200 labourers need 50 days to construct a road of 4 km long. How many labourers are needed to construct 8 km long in 80 days​
patriot [66]

Answer:

250

Step-by-step explanation:

Number of labourers * Number of days worked = Total number of working days

Total number of working days to construct a 4km long road: 200*50=10000

Total mumber of working days to construct a 8km long road: 10000*2=20000

Labourers: 20000 ÷ 80 = 250.

250 labourers are required.

7 0
3 years ago
joe and Eric have to ship 75 packages. Joe can do the job alone in 5 hours. if Eric helps, they get it done in 4 hours. How long
Umnica [9.8K]

Eric took 20 hours to do the job alone.

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

<u>Given </u>:

  • Total work = 75 packages
  • Joe took 5 hours to complete the total work.

The amount of work Joe alone can do per hour = 75/5 = 15 packages.

The amount of work Joe and Eric together do per hour = 75/4 = 18.75

The amount of work Eric alone can do per hour = 18.75 - 15 = 3.75

The time Eric took to complete the entire work = 75 / 3.75 = 20 hours.

8 0
3 years ago
A sock drawer contains 5 different colors of socks. It has 20 white, 10 black, 10 gray, 6 red, and 4 purple. If you reach into t
suter [353]
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A rectangle has a perimeter of 30 and a length of 10. Find the width.
bonufazy [111]

Answer:

5

Step-by-step explanation:

8 0
2 years ago
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rusak2 [61]
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