First, distribute the negative sign and get -y + 7 = 14
then subtract 7 from both sides and get -y = 7
Divide both sides by -1 and get y = -7
Hope this helps :)
Answer:
Below in bold.
Step-by-step explanation:
The surface area of the box
= x^2 + 4hx where x = a side of the square base and h is the height.
So x^2 + 4hx = 8
The volume of the box
V = x^2h
From the first equation we solve for h
4hx = 8 - x^2
h = (8 - x^2) / 4x
Now we substitute for h in the formula for the volume:
V = x^2 * (8 - x^2) / 4x
V = 8x^2 - x^4 / 4x
V = 2x - 0.25x^3
Finding the derivative:
V' = 2 - 0.75x^2 = 0 for max/mimn values
x^2 = 2/ 0.75 = 2.667
x = 1.633.
So the length and width of the base is 1.633 m and the height
= ( 8 - 2.667) / (4*1.633)
= 0.816 m
The maximum volume = 0.816 * 2.667 = 2.177 m^2.
The answers are correct to the nearest thousandth.
What is Pendas in this sentence did you mean PEMDAS
Step-by-step explanation:
If h is the number of hours Sally rented the bike then she paid 12 dollars fixed fee plus 9*h.
Which means that she paid 12+9*h.
However she paid 48 dollars which means:
Which means that Sallly rented the bike for 4 hours
