Given two numbers x and y such that:
x + y = 12 ... (1)
<span>two numbers will maximize the product g</span>
from equation (1)
y = 12 - x
Using this value of y, we represent xy as
xy = f(x)= x(12 - x)
f(x) = 12x - x^2
Differentiating the above function:
f'(x) = 12 - 2x
Maximum value of f(x) occurs at point for which f'(x) = 0.
Equating f'(x) to 0 we get:
12 - 2x = 0
2x = 12
> x = 12/2 = 6
Substituting this value of x in equation (2):
y = 12 - 6 = 6
Therefore, value of xy is maximum when:
x = 6 and y = 6
The maximum value of xy = 6*6 = 36
Lucas' table is proportional
Answer:
55
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
f(x) = 4x - 7
What does f(x) mean? It means that whatever variable you have on the left which is (x), the same variable must be on the right.
So f(2) means that whatever variable is on the right, it must be replaced with 2 on the right. So .....
f(2) = 4(2) - 7
f(2) = 8 - 7
f(2) = 1
