Answer:
See picture for the answer and steps!
Step-by-step explanation:
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).
A(b+c)=a*b+a*c CORRECT
2(y+11)=2*y+2*11), BUT better 11y+22 both are CORRET
(-5, 15)
This is because y = 11 is a flat line that is 4 away from the point. Thus, the new point must also be 4 away from the line.
Answer: 11x - y = 8x - y + 3x
