Answer:
12
Step-by-step explanation:
the opposite of -12 is 12
with a scale factor
length becomes scale factor * length
area becomes scale factor^2 * area
volume becomes scale factor ^3 * volume
if the diameter is doubled the scale factor is 2
Volume becomes 2^3 * volume
the volume increases by a factor of 8
45 - 35 = 10
so we divide by 4 10/4 = 2.5
The sequence is 35, 37.5, 40, 42.5, 45
5280 feet per 1 mile
40 times 5280=211200
211200 feet per hour
Answer:
The limit of the function as x approaches 1 is ∞
Vertical asymptote; x = 1
Step-by-step explanation:
The graphical approach to evaluating limits involves graphing the function, the graph of the function
is contained in the attachment below.
The red vertical line is the graph of x = 1. As we approach the line x = 1 from the left, the value of the function, that is y becomes large and large indefinitely. That is the value of the function approaches infinity. The same case applies when we approach the vertical line x = 1 from the right.
Also noticeable is the fact that the function approaches the line x = 1 asymptotically. The function gets closer and closer to this line but actually never touches it. Therefore, the line x = 1 is our vertical asymptote of the function given