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
Answer:
49x^4-42x^2 y+9y^2
Step-by-step explanation:
The standard deviation is the square root of the variance
so if the variance is 256, then the standard deviation is : sqrt 256 = 16 <==
Answer: a discount of 25%
Step-by-step explanation:
if you take any number and take 10 percent off then 15 percent off it’s even but 25 percent off is a better discount because it takes more money off the original price
If x=1 and y=5 we get as 4product of 1+5=9
=4+5=9
9=9
lhs=rhs
