Answer:
Gavin uses more rope.
Step-by-step explanation:
Because 1/4>1/8, since 1/4=0.25 and 1/8=0.125.
Answer:
13 1/3 cups of sugar
Step-by-step explanation:
Answer:
B, "The graph of g(x) will eventually exceed the graph of f(x)."
Step-by-step explanation:
Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have
f^(-1)(f(x)) = x
Differentiating with the chain rule gives
(f^(-1))'(f(x)) f'(x) = 1
so that
(f^(-1))'(f(x)) = 1/f'(x)
Let x = a; then
(f^(-1))'(f(a)) = 1/f'(a)
(f^(-1))'(b) = 1/f'(a)
In particular, we take a = 2 and b = 7; then
(f^(-1))'(7) = 1/f'(2) = 1/5
Answer:
$1.2 is shipping and handling.
Step-by-step explanation:
If shipping is 1/5(20%) of the price 6 divided by 5 = $1.2