Answer:
a=2;b=4;c=6.
Louis wrote the correct answer.
Answer:
g=3
Step-by-step explanation:
f(g) = g^2 +3g
Let f(g) = 18
18 = g^2 +3g
Subtract 18 from each side
18-18 =g^2 +3g-18
0 = g^2 +3g-18
Factor
0 = (g+6) (g-3)
Using the zero product property
g+6 =0 g-3 =0
g = -6 g =3
The only solution listed is g=3
We can create two equations here:
(1) Volume = area of square * height of box
85.75 = s^2 h
(2) Cost = 3 * area of square + 1.5 * area of side box
C = 3 s^2 + 1.5 s h
From (1), we get:
h = 85.75 / s^2
Combining this with (2):
C = 3 s^2 + 1.5 s (85.75 / s^2)
C = 3 s^2 + 128.625 s-
Taking the 1st derivative and equating dC/ds =
0:
dC/ds = 6s – 128.625 / s^2 = 0
Multiply all by s^2:
6s^3 – 128.625 = 0
6s^3 = 128.625
s = 2.78 cm
So h is:
h = 85.75 / s^2 = 85.75 / (2.78)^2
h = 11.10 cm
So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm
The total cost now is:
C = 3 (2.78)^2 + 1.5 (2.78) (11.10)
C = $69.47
0.057 is the correct answer! Have a great week!
It’s -1 the guy above me is right
