By the polynomial remainder theorem, because <em>x</em> = 2<em>i</em> is a zero of <em>f(x)</em>, we have no remainder upon dividing <em>f(x)</em> by <em>x</em> - 2<em>i</em>.
Computing the quotient yields
Then if the remainder term is 0, follows that <em>a</em> = -12.
Answer:
The top left graph
Step-by-step explanation:
All the others are wrong
Step-by-step explanation:
a) The diameter of the wheel is the distance between the minimum and maximum. In other words, it's double the amplitude.
d = 2 × 14 = 28.
b) The period of the wave is:
720 = 2π / T
T = π/360
So the time for 3 revolution is:
3T = π/120
3T = 0.026 seconds
c) The minimum here is when cosine = 1.
h(t) = -14(1) + 14
h(t) = 0
This makes sense, since the minimum height is when the nail is at the bottom of the wheel, or at the ground.
The order of operations is PEMDAS. You would work on multiplying the -6 and 3.
1 hour and 10 minutes = 70 total minutes
The aerobics class is 20 minutes and then since the yoga class is 30 minutes longer it will then be 50 minutes.
20 minutes aerobic+50 minutes yoga= 70 total minutes
