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worty [1.4K]
3 years ago
15

If x - 2y + z = 5 and -x + 3y - z = 2, then y = ?

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0

Answer:

y=10

Step-by-step explanation:

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$i^5+i^{-25}+i^{45}$<img src="https://tex.z-dn.net/?f=%24i%5E5%2Bi%5E%7B-25%7D%2Bi%5E%7B45%7D%24" id="TexFormula1" title="$i^5+i
gregori [183]

i^5+i^{-25}+i^{45}

Rewrite the term i^{-25}

=i^5+\dfrac{1}{i^{25}}+i^{45}

Expand each term so we have

=i(i^2)^2+\dfrac{1}{i(i^2)^{12}}+i(i^2)^{22}

Use the fact that i^2=-1

=i(-1)^2+\dfrac{1}{i(-1)^{12}}+i(-1)^{22}

Use the fact that (-1)^{a}=1 when a is an even number

=i+\dfrac{1}{i}+i

Simplify

=i-i+i

=i

Let me know if you need any clarifications, thanks!

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3 years ago
The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =x + 60.
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The yearly cost for a non-member would be : y = 0.20x
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Fine the value of X
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Answer:

30

Step-by-step explanation:

60/40=3/2

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Answer:

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Step-by-step explanation:

4 (y - 6) = -4

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4y = 20

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y = 5

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4 years ago
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