This problem is proportional! for every 1 second 12.5 jellybeans are made!
Answer:
1) Both 15.
2) 25 and -25.
Step-by-step explanation:
1) Let the 2 numbers be x and 30 - x.
The product = x(30 - x)
f(x) = x(30 - x)
f(x) = 30x - x^2
Finding the derivative:
f'(x) = 30 - 2x
Finding the maximum:
30 - 2x = 0
x = 15.
This gives a maximum f(x) because f"(x) = -2.
So the numbers are 15 and 30 - 15 = 15.
2). If one number is x the other is y.
x - y = 50
y = x - 50
The product =
x(x - 50)
= x^2 - 50x
Finding the derivative:
2x - 50 = 0 for a minimum value.
2x = 50
x = 25.
So the numbers are 25 and 25-50 = -25.
Answer:-4.03846153846
Step-by-step explanation:
Answer:
(c-a,b)
Step-by-step explanation:
Bottom of shape is equal to 4a, or c.
R is to be located at (3a, b)
c-a=3a, ∴r: (c-a,b)