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

Help ASSAP with this question

mote1985 [20]

(4,4)(-6,4)...notice how ur y coordinates on both of ur points is the same...that means u have a horizontal line with a slope of 0....the equation would be
y = 4.....but in point slope form...not 100% sure

y - y1 = m(x - x1)
slope(m) = 0
using (4,4)...x1 = 4 and y1 = 4
now sub
y - 4 = 0(x - 4) <==

y - y1 = m(x - x1)
slope(m) = 0
using (-6,4)...x1 = -6 and y1 = 4
sub
y - 4 = 0(x - (-6) =
y - 4 = 0(x + 6) <==

6 0

4 years ago

Find the output, y, when the input, x, is -9

Misha Larkins [42]

Answer:

The output of y = 1

Step-by-step explanation:

7 0

3 years ago

4 to 7 equals 21 to what ​

4 to 7 equals 21 to what