Let f(x)=(34)xf(x)=(34)x .
let g(x)=(34)x−6g(x)=(34)x−6 .
which statement describes the graph of g(x)g(x) with respect to the graph of f(x)f(x) ?
g(x)g(x) is translated 6 units left from f(x)f(x) .
g(x)g(x) is translated 6 units right from f(x)f(x) .
g(x)g(x) is translated 6 units up from f(x)f(x) .
g(x)g(x) is translated 6 units down from f(x)f(x) .

option 2 is correct g(x) is translated 6 units right from f(x).

step-by-step explanation:

  given : f(x)= (34)x

                g(x)= (34)x-6

solution : we can see the attached graph which simply shows that point is translated to the right side

and by equation of f(x) and g(x) we see that in g(x) subtraction of 6 is there

which shows it is translated by 6 and -ve sign show it translated to right side

therefore, option 2 is correct g(x) is translated 6 units right from f(x).

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !