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sp2606 [1]
3 years ago
7

What is the quotient of the rational expression below? 3x+1/x+8 ÷ x-7/5x

Mathematics
1 answer:
solong [7]3 years ago
6 0

Answer:

8x^2 + 45/5x

Step-by-step explanation:

write the division as a fraction

3x+ 1/x + 8/x - 7/5x

using a=a/1, convert the expression into a fraction

3x/1 - 7/5x

calculate the product

3x/1 - 7x/5

expand the fraction to get the least common denominator

5 x 3x/ 5 x 1   -  7x/5

multiply the numbers

15x/5   -   7x/5

write all numerators above the common denominator

15x - 7x/5

collect like terms

8x/5

write the factor as a product

8/5 x + 1/x + 8/x

calculate the product

8x/5 + 5 x 1/5x + 5 x 8/5x

expand the fraction to get the least common denominator

X  x  8x/X  x  5 + 5/5x + 5 x 8/5x

multiply the numbers

X  x  8x/X  x  5 + 5/5x + 40/5x

calculate the product

8x^2/5x + 5/5x +40/5x

write all numerators above the common denominator

8x^2 + 5 + 40/5x

add the numbers and that's the answer

8x^2 + 45/5x

(that was l o n g)

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Step-by-step explanation:

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2 years ago
In the inequality -n < x < n, find a value for n that has no solutions.
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Nadusha1986 [10]
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negative ×/÷ positive = negative

^ you have to remember this.

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6 0
3 years ago
Greta is opening a savings account. She starts with $100 and plans to add $50 each week. What is the unit rate of change for thi
Semmy [17]

Greta starts with $100 in her savings account

She adds $50 each week

Balance after week 1 = 100 + 50 = 150

Part A

Unit rate of change here is = \frac{\text{Balance after week 1 - Initial balance}}{\text{Initial balance}} * 100

⇒ Unit rate of change here is = \frac{\text{150 - 100}}{\text{100}} * 100

⇒ Unit rate of change here is = 50%

Part B

Equation to calculate the amount of money Greta will have after any number of weeks = ?

Money after 'x' number of weeks = \text{Initial Deposit + x * Weekly Deposit}

⇒ Money after 'x' number of weeks = \text{100 + x * 50}

Part C

Money Greta will have after 1 year= ?

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So, putting x = 52 in the solution of Part B

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8 0
3 years ago
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