Factor 2 out of 4x+14
2(2x+7)
Hope this helps!
If the pyramid fits perfectly in a cube, this means that its base is a square and its height has the same value as the side of the square. Let x be the measure of the sides of the cube. The volume of the cube (Vc),
Vc = x³ ; 49 ft³ = x³ ; x = 49^(1/3)
The volume of the pyramid is,
Vp = (1/3)(x²)(x) = (1/3)(x³)
Substituting the known values,
Vp = (1/3)((49^(1/3))³ = 16 1/3 ft³
Thus, the volume of the pyramid is approximately 16.33 ft³.
-4 is the rate of change otherwise known as the slope
Well, you are subtracting g(x) from f(x) so:
√x-x-(2x^3-√x-x) which is:
√x-x-2x^3+√x+x (you have your signs wrong at the bottom of your post)
Now you would simply combine like terms (do your addition and subtraction of like terms)
-2x^3+2√x
So the answer is D.
