Answer:
Step-by-step explanation:
Substitute g(x) where x is in the definition of f(x).
f(g(x)) = -3(g(x))^2 - 1
f(g(x)) = -3(-5x)^2 - 1
= -3(25x^2) - 1
f(g(x)) = -75x^2 - 1
It should be the point of tangency.
2 because there are 4 quarts in a gallon
Answer:
33.3 cm²
Step-by-step explanation:
Recall: Area Scale Factor = (Linear Scale Factor)²
Area scale factor = surface area of bigger cone/surface area of smaller cone
Let the surface area of the smaller cone be represented as x
Therefore,
Area scale factor = 75/x
Linear scale factor = radius of bigger cone/radius of smaller cone = 3/2
Thus:
75/x = (3/2)²
75/x = 9/4
Cross multiply
x*9 = 75*4
9x = 300
Divide both sides by 9
x = 300/9
x = 33.3 cm² (nearest tenth)
