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).
Answer:
∠B = 22°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, hence
120 + x + x + 16 = 180
2x + 136 = 180 ( subtract 136 from both sides )
2x = 44 ( divide both sides by 2 )
x = 22 = ∠B
Answer: 448 hours
Step-by-step explanation:
272 divided by 17 = hourly wage
hourly wage= 16$
448 divided by 16 = 28 weeks
28 x 16= 448 hours
The answer and the process is shown in the following picture
