Answer:
average rate of change is 3/2
Step-by-step explanation:
Recall that the average rate of change in an interval [x1, x2], is defined as:
[f(x2)-f(x1)] / (x2 - x1)
which for the interval [0, 2] becomes:
[f(2)-f(0)] / (2 - 0)
From the graph we read that f(0)= 1 and f(2) = 4, therefore:
[f(2)-f(0)] / (2 - 0) = [4 - 1] / 2 = 3/2
Well, to add and subtract unlike fractions, you need to look at both fractions and look at their denominators. next, you need to find the LCD, or the least common denominator. for example : 1/3 + 3/5. what is the least common multiple of 3 and 5? its 15 . and after that , you multiply the top the same amount you multiplied the bottom by, example con. : 1/3 x 5/5= 5/15 and 3/5 x 3/3 = 9/15. then you add the products , 5/15 + 9/15 and you get 14/15.
30 of the divisors are multiples of 3
The factors of 2160 are 1, 2160, 2, 1080, 3, 720, 4, 540, 5, 432, 6, 360, 8, 270, 9, 240, 10, 216, 12, 180, 15, 154, 16, 135, 18, 120, 20, 108, 24, 90, 27, 80, 30, 72, 36, 60, 40, 54, 45, 48
These are all divisors of 2160 but only 30 are multiples of 3.
The ones that are NOT are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80
You can also do this using prime factors 2x2x2x2x3x3x3x5 = 2160 but it is harder to explain.
