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3 years ago

Solve for y: y -6 =1/2( x +6)

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

5 0

Answer:

y=1/2x+9

Step-by-step explanation:

y-6=1/2(x+6)

y-6 = 1/2x+3

y=1/2+3+6

y=1/2x+9

liraira [26]3 years ago

4 0

Answer:

socratic is a good app for math answers

Step-by-step explanation:

or faster help then this

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Answer:

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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The closed form sum of

zalisa [80]

Perhaps you know that

$S_2 = \displaystyle\sum_{k=1}^n k^2 = \frac{n(n+1)(2n+1)}6$

and

$S_3 = \displaystyle\sum_{k=1}^n k^3 = \frac{n^2(n+1)^2}4$

Then the problem is trivial, since

$\displaystyle\sum_{k=1}^n k^2(k+1) = S_2 + S_3 \\\\ = \frac{2n(n+1)(2n+1)+3n^2(n+1)^2}{12} \\\\ = \frac{n(n+1)\big((2(2n+1)+3n(n+1)\big)}{12} \\\\ = \frac{n(n+1)\big(4n+2+3n^2+3n\big)}{12} \\\\ = \frac{n(n+1)(3n^2+7n+2)}{12} \\\\ = \frac{n(n+1)(3n+1)(n+2)}{12}$

Then

$12\bigg(1^2\cdot2+2^2\cdot3+3^2\cdot4+\cdots+n^2(n+1)\bigg) = n(n+1)(n+2)(3n+1)$

so that <em>a</em> = 3 and <em>b</em> = 1.

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3 years ago