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DerKrebs [107]
3 years ago
10

What is the difference between the rational expressions below? 3x+1/x^2-5/x

Mathematics
1 answer:
Tom [10]3 years ago
5 0

Answer:

(3x^2-5x-5)/(x^2+x) <--- answer  

Step-by-step explanation:

3x/(x+1) - 5/x = (3x^2 - 5(x+1) )/[ x(x+1) ]  

= (3x^2 - 5x - 5)/(x^2 + x)

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Suppose that the duration of a particular type of criminal trial is known to be
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3 years ago
Isabella and Tanner are running in a 100-mile relay race. First, Isabella runs for 2 hours and hands off to Tanner, who bicycles
Murljashka [212]

Answer:

5 miles per hour and 15 miles per hour.

Step-by-step explanation:

Given:

Isabella and Tanner are running in a 100-mile relay race.

First, Isabella runs for 2 hours and hands off to Tanner, who bicycles for 6 hours to the finish line.

Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed.

Question asked:

what are their speed ?

Solution:

Let average running speed of Isabella = x

Tanner's average cycling speed is 5 miles an hour less than 4 times Isabella's average running speed means,

Tanner's average cycling speed = 4x-5

Now, Distance = speed\times time

As we know that the total distance is 100 mile which is covered by both together,

Distance traveled by Isabella + Distance traveled by Tanner = 100

x\times2 + (4x-5)\times6 = 100\\2x +24x-30=100\\26x-30 =100

Adding both sides by 30

26x =1 30\\

Dividing both sides by 26

x=5

Isabella's average running speed x=5 \ miles \ per \ hour

Tanner's average cycling speed = 4x-5 =4\times5-5 =20 -5 = 15 \ miles\ per \ hour

Therefore, Isabella's average running speed is 5 miles/hour and Tanner's average cycling speed is 15 miles/hour.

5 0
4 years ago
Mya borrowed 36,000 to purchase a new car. The interest rate on her loan is 5.75%. How much interest will be paid back in 7 year
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Answer:

////

Step-by-step explanation:

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3 years ago
How many eighth notes do you need to total the amount of a half note
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Answer:

Four eighth notes

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Step-by-step explanation:

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8 0
3 years ago
It costs $15 to enter the fair, then each booth costs $0.75 each. You have $24. Write an equation to show how many booths you, x
Blizzard [7]

Answer:

(x * 0.75) + 15 = $24

Step-by-step explanation:

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3 years ago
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