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2 years ago

Please help me Factor 21x+56xy

Mathematics

1 answer:

Soloha48 [4]2 years ago

8 0

Answer:

the answer is 7x(3+8y)

Step-by-step explanation:

Hope this helped

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6000 - 25p = 4000 what does p equal?

tresset_1 [31]

Answer:

Step-by-step explanation:

25x80=2000

6000-2000=4000

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2 years ago

Read 2 more answers

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

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

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2 years ago

Clara ate 1/8 of the pie Jacob ate 1/4 how much of the pie did they ate

nika2105 [10]

They ate 3/8 of the pie because 1/4=2/8 .and 1/8+2/8=3/8. Hope this helps

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2 years ago

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Please solve the table and show your work

Elanso [62]

Answer:

Step-by-step explanation:

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2 years ago

Graph of a line containing the following points: (–1, 5) and (1, –3). Which is the equation of the given line in slope-intercept

cupoosta [38]

The slope intercept form looks like this y=mx+b
m=slope
b=y-intercept
Hope this helps.

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2 years ago