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ad-work [718]
4 years ago
5

Factor the following question.

Mathematics
1 answer:
Lerok [7]4 years ago
5 0
Factor the following:
125 w^3 - 8
125 w^3 - 8 = (5 w)^3 - 2^3:
(5 w)^3 - 2^3
Factor the difference of two cubes. (5 w)^3 - 2^3 = (5 w - 2) ((5 w)^2 + (5 w) 2 + 2^2):
(5 w - 2) ((5 w)^2 + 5 2 w + 2^2)
Multiply each exponent in 5 w by 2:
(5 w - 2) (5^2 w^2 + 5 2 w + 2^2)
5^2 = 25:
(5 w - 2) (25 w^2 + 5 2 w + 2^2)
5×2 = 10:
(5 w - 2) (25 w^2 + 10 w + 2^2)
2^2 = 4:
Answer:  (5 w - 2) (25 w^2 + 10 w + 4)
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If a team scored 96 points while making 18 free throws, how many field goals were made?
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Which of the following inequalities is equivalent to 3-(w+2)>4+2w
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What is the solution to the equation 13.7y – 10.6 = 6.2y + 19.4?  
Lyrx [107]

Answer:

4

Step-by-step explanation:

Simplifying

13.7y + -10.6 = 6.2y + 19.4

Reorder the terms:

-10.6 + 13.7y = 6.2y + 19.4

Reorder the terms:

-10.6 + 13.7y = 19.4 + 6.2y

Solving

-10.6 + 13.7y = 19.4 + 6.2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6.2y' to each side of the equation.

-10.6 + 13.7y + -6.2y = 19.4 + 6.2y + -6.2y

Combine like terms: 13.7y + -6.2y = 7.5y

-10.6 + 7.5y = 19.4 + 6.2y + -6.2y

Combine like terms: 6.2y + -6.2y = 0.0

-10.6 + 7.5y = 19.4 + 0.0

-10.6 + 7.5y = 19.4

Add '10.6' to each side of the equation.

-10.6 + 10.6 + 7.5y = 19.4 + 10.6

Combine like terms: -10.6 + 10.6 = 0.0

0.0 + 7.5y = 19.4 + 10.6

7.5y = 19.4 + 10.6

Combine like terms: 19.4 + 10.6 = 30

7.5y = 30

Divide each side by '7.5'.

y = 4

Simplifying

y = 4

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3 years ago
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