(f o g)(x) = 2(5x + 1) - 6 = 10x - 4
(g o f)(x) = 5(2x - 6) + 1 = 10x - 29
So (f o g)(x) produces the greatest output.
Mean because all of the data points are
fairly close and there aren't any outliers
(extreme values)
1 part sugar : 4 parts water
3/4 cup of sugar.
1:4 = 3/4 : x
x = 4 * 3/4
x = 12/4
x = 3 part water
Volume of a cone=(1/3)πr²h
Volume of a cylinder=πr²h
The cone has the same radius (r) and height than the cylinder that the cone fits exactly inside of.
Data:
Volume of a cone=5 in³
Then:
(1/3)πr²h=5 in³
πr²h=3(5 in³)
πr²h=15 in³ (remember: volume of a cylinder=πr²h)
Then the volume of a cylinder that the cone fits exactly inside of would be:
15 in³