Answer:
11,664 inches³
Step-by-step explanation:
Let 'S' be the length of the side of the square base and 'H' be height of the parcel.
The U.S postal regulations specify that:
The volume of the parcel is given by:
The value of 'S' for which the derivate of the volume function equals zero yields the maximum volume:
Solving for 'H':
The maximum volume is:
The two numbers I will call x and y.
x + y = 31
x * y = 150
You then solve for one variable in either equation and substitute it into the other equation.
x + y = 31
x = 31 - y
Then you plug it in:
x * y = 150
(31 - y) * y = 150
-y² + 31y = 150
y² - 31y + 150 = 0 Then factor:
(y - 6)(y - 25) = 0
y - 6 = 0 y - 25 = 0
y = 6 y = 25
When you plug y into the original equations, it comes out that the two numbers are 6 and 25. You can check your work because 6+25 = 31 and 6*25 = 150. Hope this helps! :)
Answer:
-51
Step-by-step explanation:
Answer:
2x+3-1
Step-by-step explanation:
hope this helps :)
