Answer:
See attachment
Step-by-step explanation:
The given function is
.
This rational function has a vertical asymptote at where the denominator is zero.
The denominator
when 
There is vertical asymptote at 
The horizontal asymptote for this rational function is given by the ratio of the leading coefficient of the numerator to the leading coefficient of the denominator.

The horizontal asymptote is 
The graph of this rational function is shown in the attachment
Answer:
it's an inscribed angle
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).
Answer:
13. The more passengers, the more Subway cars are needed; 15. There's more weight with the more packages?
Step-by-step explanation:
Answer:
x ≤ 4
Step-by-step explanation:
6x + 3 ≤ 27 subtract 3 both sides
6x ≤ 24 divide 6 both sides
x ≤ 4 There's your answer