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BlackZzzverrR [31]
2 years ago
14

15 divided by what makes 5

Mathematics
1 answer:
goldenfox [79]2 years ago
5 0

Answer:

3

Step-by-step explanation:

3*5=15

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What is d square root of 49​
fomenos

Answer:

± 7

Step-by-step explanation:

Given

d = \sqrt{49}, then

d = 7 or - 7, that is ± 7

Since 7 × 7 = 49 and - 7 × - 7 = 49

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What is zero of the polynomial and example
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<span> Binomials and trinomials are two types of polynomials. The first has two terms and the second has three.</span>
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Solve for x.<br><br> x=<br><br> Look at image
postnew [5]

Answer:

x = 14

Step-by-step explanation:

To find x, the following equation is generated given the available information:

\frac{(x + 7) + x)}{x + 7} = \frac{12 + 8}{12}

\frac{2x + 7}{x + 7} = \frac{20}{12}

\frac{2x + 7}{x + 7} = \frac{5}{3}

Cross multiply

3(2x + 7) = 5(x + 7)

6x + 21 = 5x + 35

Collect like terms

6x - 5x = - 21 + 35

x = - 21 + 35

x = 14

8 0
3 years ago
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Find a compact form for generating functions of the sequence 1, 8,27,... , k^3
pantera1 [17]

This sequence has generating function

F(x)=\displaystyle\sum_{k\ge0}k^3x^k

(if we include k=0 for a moment)

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k

Take the derivative to get

\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k

\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k

Take the derivative again:

\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k

\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k

Take the derivative one more time:

\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k

\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k

so we have

\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}

5 0
4 years ago
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