Find the geometric mean between 6x and 24x.

A.)4
B.)12
C.)12x

Do you really expect someone to do all of these homework assignments for you?

Please stop just dumping these homework questions.

At least tell us what your choices are, and we will tell you if you are correct

I think it 12

Am i wrong?

yes

12x?

that's better. The sequence is thus

6x 12x 24x 48x . . .

the geometric mean between a and b is √ ab
Fo this problem, that's √[(6x)(24x)] = √ 144x^2 = 12x

12x

To find the geometric mean between two numbers, you need to take the square root of their product. In this case, we have 6x multiplied by 24x:

Geometric mean = √(6x * 24x)

To simplify this expression, we can multiply the coefficients (numbers in front of x) and combine the variables (x):

Geometric mean = √(6 * 24 * x * x)
Geometric mean = √(144 * x^2)

The square root of 144 is 12, and when you take the square root of x^2, you are left with x. So the geometric mean is:

Geometric mean = 12x

Therefore, the answer is C.) 12x.