How many of each color bottle and how many colors
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: The greatest number of cups of yogurt MOnica can buy is 14.
Step-by-step explanation:
If she need to buy a gallon of milk then it means that $2.50 will be deducted from the money .
Use the the inequality to solve for how many cups of yogurt Monica can buy
1.20x + 2.50 ≤ 20
-2.50 2.50
1.20x ≤ 17.5
x≤14.5833...
which means the greatest number of cups of yogurt Monica can buy is 14.
Answer:
A) 3, 4, and 5
D) 9, 12, and 15
Step-by-step explanation:
A) 3, 4, and 5
D) 9, 12, and 15
If you square and add the first two, you get the third one squared. That doesn’t work for B and C.
The standard form of a linear equation is Ax + By = C
So the answer is; 1x + 3y = 27
<em>Hope this helped! :)</em>
