Step-by-step explanation:
A)
The length of the box is 30 − 2x inches.
The width of the box is 30 − 2x inches.
The height of the box is x inches.
So the volume is:
V = x (30 − 2x)²
B)
V(3) = 3 (30 − 6)² = 1728
V(4) = 4 (30 − 8)² = 1936
V(5) = 5 (30 − 10)² = 2000
V(6) = 6 (30 − 12)² = 1944
V(7) = 7 (30 − 14)² = 1792
As x increases, the volume of the box increases to a maximum and then decreases.
C)
The ends of the domain occur when V = 0.
0 = x (30 − 2x)²
x = 0 or 15
So the domain is (0, 15).
If you would like to find the numerator of a fraction, you can do this using the following steps:
denominator ... 6 * 5 = 30
numerator ... x = ?
36 = numerator / denominator
36 = x / 30
x = 36 * 30
x = 1080
The correct result would be 1080.
Answer:
0.285
Step-by-step explanation:
To do this, divide 28 1/2% by 100%, obtaining:
28.5%
---------- = 0.285
100%
Answer:
19/2
Step-by-step explanation :
U divide the numerator and the denominator by the same number which is 3
57 divided by 3 = 19
6 divid by 3 = 2
So the answer is 19/2
