The radius of the large sphere is times longer than the radius of the small sphere. How many times the volume of the large sphere is the volume of the small sphere?

27

Step-by-step explanation:

Let the radius of the smaller sphere is x.

Then the radius of the larger sphere is 3x.

The volume of a sphere is given by

Hence, the volume of the smaller sphere is

And the volume of the larger sphere is

Divide both volumes, we get

Hence, the volume of the smaller sphere is 27 times smaller than the volume of the larger sphere.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this