Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
If m varies directly with x, then that means that you have to find the slope. To make it easier, m = y-variable, and x = x-variable.
Because you are trying to find your constant of variation (another word for slope, rate of change, etc.), the change of y over the change of x is your equation. in other words, divide your m variable by x.
When m = 60 and x = 6, you can set it up. 60 / 6 = k; and k = 10 when solved. Since 10 is not one of the answer choices listed in your answer key, I believe that your answer is NONE OF THE ABOVE.
I hoped this helped you.
20.5/3.25 = 6.3
<span>so only six with a little cloth left over</span>
Answer:
D
Step-by-step explanation:
2y=10x
Divide both sides by 2.
y=5x
Now substitute this into the second equation.
Answer:
A
Step-by-step explanation:
