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).
Step-by-step explanation:
<u>The inequality represents:</u>
h is less than or equal to 46.
<u>Values included;</u>
I apologize for the line being uneven.
Send a better photo or tell me what I’m suppose to be answering
You might be thinking of "distribution" or "distributive property"
Example:
2(3x+5) = 2*3x+2*5 = 6x+10
I multiplied the outer 2 by each term inside (3x and 5)
