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S_A_V [24]
3 years ago
14

Six times the quantity, x-2, is 24. Find the number, x.

Mathematics
2 answers:
pychu [463]3 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

Hope this helps!

=)

kotegsom [21]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

"Six times the quantity, x-2, is 24" can be rewritten symbolically as

6(x - 2) = 24.  We are to solve this for x.

To do that, divide both sides of the above equation by 6, to isolate x - 2:

x - 2 = 4

Adding 2 to both sides isolates x:  x = 6

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Read 2 more answers
Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
amm1812

Answer:

V = \frac{8\pi}{3}

Step-by-step explanation:

For this case we are interested on the region shaded on the figure attached.

And we can find the volume with the method of rings.

The area on this case is given by:

A(x) = \pi [f(x)]^2 = \pi r^2 = \pi [3x]^2 = 9\pi x^2

And the volume is given by the following formula:

V= \int_{a}^b A(x) dx

For our case our limits are x=0 and x=2 so we have this:

V = \pi \int_{0}^{2} x^2 dx

And if we solve the integral we got this:

V= \pi [\frac{x^3}{3}]\Big|_0^{2}

And after evaluate we got this:

V=\pi [(\frac{8}{3} )-(\frac{0}{3} )]

V = \frac{8\pi}{3}

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