A motorcycle tire with a radius of 16 inches rotates at a rate of 150 revolutions per minute (rpm). a) Find the linear speed of the tire in inches per minute.
b) Find the angular speed of the tire in radians per minute.

(a)942.85 rad/s

(b) 15,085.71 inches per minute

Step-by-step explanation:

Given

the radius of tire r=16 inches

N=150 revolution per minute(rpm)

So, the angular speed of the tire  

The linear speed of the tire

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.