Answer:
X = 8, y = 8
Step-by-step explanation:
This question is an optimization problem. Two equations are going to be needed here
n = x+y
P = xy
Such that 64 = xy
When we divide through by x we get:
y = 64/x
So that n becomes:
n = x + 64/x
n = x+64x^-1
We take derivative
n' = 1-64x^-2
When n' = 0 then a min|max occurs
0 = 1-64x^-2
Such that:
64/x² = 1
Divide through by x²
64 = x²
x = √64
x = 8
Remember y = 64/x
So,
Y = 64/8
Y = 8.
X = 8, y = 8
Thank you!
2a + 8a simplified is 10a
Answer:
1.12 x 10^6 or 1,120,000
Step-by-step explanation:
You work out the first part which would be (3.76 x 10^5) or 376,000.
Then you work out the second part which would be (7.44 x 10^5) or 744,000.
Then you add them together and move the decimal over to where the number is less than ten but greater than 0 so it would be like this:
1.120000
But just cut all the zeros so it would be like this:
1.12
And how ever many times you move the decimal over is the number you put beside the ten by the way. it should look a little like this by the time you are done:
1.12 x 10^6
