Avideo game has three villains who appear on screen at different intervals. one villain appears every 5 seconds, a second villain appears every 10 seconds, and a third villain appears every 16 seconds. how much time passes between occasions when all three villains appear at the same time?

find the least common multiple of the 3 times, 5 seconds, 10 second, 16 seconds.

 the LCM = 80

 so they would appear at the same time every 80 seconds

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)