3 years ago

50 POINTSSSSS!!!!!!!!!!!!!!!!

Mathematics

2 answers:

34kurt3 years ago

5 0

It might be b but I'm the answer should actually be 1 so I'm not sure why its not showing up.

photoshop1234 [79]3 years ago

4 0

Answer:

Step-by-step explanation:

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A) show that $n(2n + 1)(7n + 1)$ is divisible by 6 for all integers $n$.

goldenfox [79]

Hi,

A)
$\dfrac{n(2n+1)(7n+1)}{6} \\

= \dfrac{14n^3+9n^2+n}{6} \\

= \dfrac{12n^3+6n^2}{6} + \dfrac{2n^3+3n^2+n}{6} \\

=2n^3+n^2+ \dfrac{n(2n^2+3n+1)}{6} \\

= 2n^3+n^2+ \dfrac{n(n+1)(2n+1)}{6} \\

= 2n^3+n^2+ 1^2+2^2+3^2+...+n^2\ is\ an\ integer.
$

B)
Only if n=4*k or n=4*k+1 , k beeing an integer.

8 0

3 years ago

Which expression is it equivalent to 8(3+2x)?

Vika [28.1K]

Answer:https://www.wolframalpha.com/pro/step-by-step-math-solver?src=widget

Step-by-step explanation: hope this helps

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3 years ago

Joey had 59 dolphin stickers. He gave 5 stickers each to 8 friends. How many stickers does Joey have left?

marshall27 [118]

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Step-by-step explanation: