Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long
9) yes, he is correct.
50% as a decimal would be 0.50
7% as a decimal would be 0.07
10)Buy and Bye has a greater discount because 30% as a decimal is 0.30 and 1/4 as a decimal is 0.25.
0.30 is bigger than 0.25 so it is a bigger discount
Answer:
Step-by-step explanation:
The answer to this would be O
Answer:
y= -6
Step-by-step explanation:
-2y - 5y= -7y
-7y=42
42/-7=
y= -6