The volume of a cone is 3 x cubic units and its height is x units.
which expression represents the radius of the cone's base, in units?
3x
0 6x
34x2
gax?

The  complete questions says:

The volume of a cone is cubic units and its height is x units.

Which expression represents the radius of the cone's base, in units?

3x

Step-by-step explanation:

The volume of a cone is given by:

where

r is the radius of the base

h is the heigth of the cone

In this problem, we know:

The volume of the cone:

(1)

And its height:

(2)

We can re-arrange the formula above to make r, the radius, the subject:

And by substituting (1) and (2), we find the radius:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.