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DochEvi [55]
3 years ago
14

How do I do this step by step? 3(y-2) +5y = y+22

Mathematics
1 answer:
tatiyna3 years ago
7 0

Answer:

3(Y-2) +5Y =Y+22

3Y-6 +5Y=Y+22

3Y -6 +5Y-Y-22=0

3Y+5Y-Y-6-22=0

7Y-28=0

7Y=28

Y=28/7

Y=4

Step-by-step explanation:

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In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion
lys-0071 [83]

\displaystyle&#10;(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k

<em>-------------------------------------------------------------</em>


\displaystyle&#10;(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\&#10;n=5\\&#10;k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10

<u>It's 10.</u>

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

\displaystyle&#10;(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\&#10;n=5\\&#10;k=4\\\\&#10;\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90

<u>It's 90</u>

6 0
3 years ago
"1. The table shows the total annual precipitation for San Diego, California for several years. What is the mean annual precipit
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3 0
3 years ago
The plot below shows the graphs of three functions, f, g, and h, all of which determine the population of three different cities
monitta

So, here we have an exponential function.

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7 0
1 year ago
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