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astra-53 [7]
2 years ago
6

5x 2 +5x x 2 −1 ​ What is an equivalent expression in lowest terms?

Mathematics
1 answer:
arsen [322]2 years ago
5 0

Answer:

Step-by-step explanation:

Explanation:

Start by writing out your starting expression

x

2

−

5

x

2

+

5

x

−

14

−

x

+

3

x

+

7

Next, factor the denominator of the first fraction

x

2

+

5

x

−

14

x

2

+

7

x

−

2

x

−

14

x

(

x

−

2

)

+

7

(

x

−

2

)

(

x

−

2

)

(

x

+

7

)

Your expression is thus equivalent to

x

2

−

5

(

x

−

2

)

⋅

(

x

+

7

)

−

x

+

3

x

+

7

Since you have to subtract two fractions, you need to find the commonon denominator first. To do that, multiply the second fraction by  

x

−

2

x

−

2

x

2

−

5

(

x

−

2

)

⋅

(

x

+

7

)

−

(

x

+

3

)

⋅

(

x

−

2

)

(

x

−

2

)

⋅

(

x

+

7

)

This will get you

x

2

−

5

−

(

x

+

3

)

(

x

−

2

)

(

x

−

2

)

(

x

+

7

)

x

2

−

5

−

x

2

−

x

+

6

(

x

−

2

)

(

x

+

7

)

=

1

−

x

(

x

−

2

)

(

x

+

7

)

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2 years ago
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Herman is traveling 125 miles from his house to the beach by car. Herman plans to stop for lunch when the ratio of the distance
aliya0001 [1]

Answer:

250 miles

Step-by-step explanation:

The given distance between the house and the beach is 125 miles.

Let x miles be the distance between the house and the lunch stop.

So, at the time of the lunch stop, he already traveled x miles, the remaining distance is the distance between the lunch stop and the beach.

Let y miles be the remaining distance, so

y=125-x.

Give that the ratio of the distance he has traveled, x, to the distance he still has to travel, y, is 2:3,i.e

x:y=2:3

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\Rightarrow \frac {x}{125-x}=\frac 2 3

\Rightarrow 3\times x=2\times(125-x)

\Rightarrow 3\times x=2\times125-2\timesx

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4 0
3 years ago
Divide 124 in the ratio of 3:1 plsssss
UNO [17]
The answer is 93 to 31 :)
6 0
3 years ago
Read 2 more answers
Estimate 80,767 - 37,291 by first rounding each number to the nearest thousand.
N76 [4]

Answer:

44000

Step-by-step explanation:

Given the following question:

80767-37291

To estimate by the nearest thousand, we have to look at the thousand's place value and then look at the number next to it, to see if it's greater than five.

80767-37291

80767

7 > 5

81000

37291

2 < 5

37000

81000-3700=44000

=44000

Hope this helps.

6 0
2 years ago
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