geno3141

The volume of a cube is  length x width x height.

In a cube, the length = width = height.

If we call the length 's', then the width and the height are also each 's'.

Volume  = s x s x s  =  s³.

Volume = 8:

   s³  =  8

s = cube root of 8, which is 2, because 2³ = 8.

2^2014  =  2·(2^2013)

2^2013  =  1·(2^2013)

2^2014 - 2^2013  

Rewrite this:

=   2·(2^2013) - 1·[2^2013]

Factor this:

=  (2^2013)[2 - 1]

=  (2^2013)[1]

=  (2^2013)

Slope formula:  m  =  (y2 - y1) / (x2 - x1)

if you choose (x1, y1) = (-1, 4) then x1 = -1 and y1 = 4

                and (x2, y2) = (1, 4) then x2 = 1 and y2 = 4.

Placing these values into the slope formula:  m = (4 - 4) / (1 - -1)  =  0 / 2  =  0.

A horizontal line has a slope of zero.

-9(-3 - 10)  =  -9(-13)  =  117

You cannot comparte fractions by only comparing the numerators:

For example  21/22 > 29/100     but     21/100 < 29/30

f(x)  =  -2x + m

f(-3)  =  -2(-3) + m  =  6 + m

f(0)  =  -2(0) + m  =  m

Since  f(-3)  =  3·f(0)                    Substitute the values found above to get:

--->  6 + m  =  3[m]

         6 + m  =  3m

                6  =  2m

                m  =  3

Cube root of 27 is 3  (because 3 x 3 x 3 = 27).

Cube root of 64 is 4  (because 4 x 4 x 4 = 64).

-3/4

|x| - 6  =  3

Add 6 to both sides:

|x|  =  9

There are two answers:  x  =  9    or    x  =  -9

One way:

Add all the gains:  +7 + 2 + 16 + 8  =  +33

Add all the losses:  -5 + -12 + -8  =  -25

33 - 25  =  8

Nine zeros from the numerator are cancelled by the nine zeros in the denominator.