Answer:
(-∞, 0) U (8, ∞)
Step-by-step explanation:
Answer:
24wg
Step-by-step explanation:
3w+8g+7w+6w = 24wg
Translation, rotation, and reflection are always congruent. Dilation's are similar to each other....
(3x+8)(2x + 6)
6x^2+18x+16x+42
6x^2+34x+42
using the foil method, you can expand the given expression. It is already in simplified form with the given (3x+8)(2x+6)
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
