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
The unknown number . . . . . (z)
The sum of the unknown number and 22 . . . . . (z + 22)
The sum of the unknown number and 22
divided by the same unknown number . . . . . . . (z + 22) / z
You said that quotient is 12. (z + 22) / z = 12
Multiply each side by 'z' : (z + 22) = 12 z
Subtract 'z' from each side: 22 = 11 z
Divide each side by 11 : 2 = z .
Answer:
Lynn can pick nine baskets in three hours
Step-by-step explanation:
Anne and Mary pick 9 Baskets an hour
so in a half an hour they pick 4 and a half.
But it says they pick 6 together so lynn picked one and a half baskets in a half an hour
so over an hour she picks three
and over three hours she picks nine.
Step-by-step explanation:
The x intercept is the point that touches the x axis
The y-intercept is the point that touches the y-axis
So...
The x-intercept = (0, -40)
The y-intercept = (0, 15)
Answer:
12
Step-by-step explanation:
x^2-2x+4 replace -2 for x
-2^2-2(-2)+4
4+4+4
12
