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katrin2010 [14]
3 years ago
11

MULTIPLE CHOICE QUESTION PLEASE HELP

Mathematics
1 answer:
Sonja [21]3 years ago
7 0

Answer: A

Step-by-step explanation:

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The sum of partial product is not always equal to a final product

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Alvin is 9 years older than Elga. The sum of their ages is 89. What is Elga's age?
Mekhanik [1.2K]

Answer:

Alvin: 49

Elga: 40

Step-by-step explanation:

  1. The equation is 89 = x + (x-9).
  2. Remove the parenthesis and combine the like terms. 89 = 2x - 9
  3. Add 9 on both sides. 98 = 2x
  4. Divide by 2 on both sides. x = 49
  5. 49 is the age of Alvin. (49-9) 40 is the age of Elga.
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Step-by-step explanation:

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The relationship between 4s in 44,000
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The 4 on the left side is 10x more than the 4 on the right. This only works if the numbers are next to each other and are the same.

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Write the partial fraction decomposition fro the ration expression below
zlopas [31]
\dfrac{5x-2}{(x-1)^2}=\dfrac a{x-1}+\dfrac b{(x-1)^2}
5x-2=a(x-1)+b

Since 5x-2=5x-5+3=5(x-1)+3, it follows that a=5 and b=3, so

\dfrac{5x-2}{(x-1)^2}=\dfrac5{x-1}+\dfrac3{(x-1)^2}

\dfrac{x^3+x^2+x+2}{x^4+x^2}=\dfrac{x^3+x+x+2}{x^2(x^2+1)}=\dfrac ax+\dfrac b{x^2}+\dfrac{cx+d}{x^2+1}
x^3+x^2+x+2=ax(x^2+1)+b(x^2+1)+(cx+d)x^2
x^3+x^2+x+2=(a+c)x^3+(b+d)x^2+ax+b

When x=0, you find that b=2. It's also clear that a=1. So the remaining constants must be 1+c=1\implies c=0 and 2+d=1\implies d=-1, and so you get

\dfrac{x^3+x^2+x+2}{x^4+x^2}=\dfrac1x+\dfrac2{x^2}-\dfrac1{x^2+1}
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3 years ago
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