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nikitadnepr [17]
2 years ago
6

Which expression is equivalent to this quotient?

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
5 0

Answer: C

Step-by-step explanation:

\frac{3x^{2}-3}{x^{2}+3x}=\frac{3(x^{2}-1)}{x(x+3)}=\frac{3(x-1)(x+1)}{x(x+3)}
So, the original fraction is equal to

\frac{\frac{3(x-1)(x+1)}{x(x+3)}}{\frac{x+1}{x(x+3)}}=\boxed{3(x-1)}

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Find the sum of 10x^2-10x-6 and x+6.
Andre45 [30]

Answer:

10x²−9x

Step-by-step explanation:

10x²−10x−6+x+6

=10x²−10x−6+x+6

Combine Like Terms:

=10x²−10x−6+x+6

=(10x²)+(−10x+x)+(−6+6)

=10x²−9x

Hope this helps!

3 0
3 years ago
In a race, a triathlete runs 1/3 of the total distance, cycles 2/5 of the total distance, and swims the remaining distance. He s
liraira [26]
4500 meters. You find this by adding 1/3 and 2/5 which equals 11/15. This means that the remaining 4/15 is 1200 meters long. Divide 1200 by 4 in order to find the distance per 1/15 and you get 300. Multiply 300 with 15 to get the total distance of the race.
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4 years ago
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3 years ago
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3 0
3 years ago
A staff gauge measures the height of the water level in a river compared to the average water level. At one gauge the river is 1
Juli2301 [7.4K]

The river will not reach a level of 7 ft. after 5 hours.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the water level after x hours.

Since the  river is 1 ft below its average water level and  begins to rise by a constant rate of 1.5 ft per hour. Hence:

b = -1, m = 1.5. The equation becomes:

y = 1.5x - 1

To reach a level of 7 ft. That is y = 7:

7 = 1.5x - 1

1.5x = 8

x = 5.3 hours

The river will not reach a level of 7 ft. after 5 hours.

Find out more at: brainly.com/question/13911928

5 0
2 years ago
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