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Pachacha [2.7K]
2 years ago
9

When

Mathematics
1 answer:
iren [92.7K]2 years ago
3 0
Answer: 5

Explanation:

Equation from problem
2-x = 1/5x - 4

Add 4 to both sides
6-x = 1/5x

Add x to both sides
6 = 6/5x

Divide both sides by 6/5
6/6/5 = 6*5/6 = 30/6 = 5
5=x
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<h3>Answer:  C) 6</h3>

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Explanation:

The weird looking E symbol is the greek uppercase letter sigma. It refers to a sum.

It tells us to add up terms in the form (-1)^n*(3n+2) where n is an integer ranging from n = 1 to n = 4.

------------------

If n = 1, then we have

(-1)^n*(3n+2) = (-1)^1*(3*1+2) = -5

Let A = -5 as we'll use it later.

------------------

If n = 2, then

(-1)^n*(3n+2) = (-1)^2*(3*2+2) = 8

Let B = 8 since we'll use this later as well

------------------

If n = 3, then

(-1)^n*(3n+2) = (-1)^3*(3*3+2) = -11

Let C = -11

-------------------

If n = 4, then

(-1)^n*(3n+2) = (-1)^4*(3*4+2) = 14

Let D = 14.

--------------------

We'll add up the values of A,B,C,D to get the final answer

A+B+C+D = -5+8+(-11)+14 = 6

This means that

\displaystyle \sum_{n=1}^{4}(-1)^n(3n+2) = 6

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