Answer:
(a) The net change of the function is 12.
(b) The average rate of change of the function 4.
Step-by-step explanation:
The average rate of change of function 
over the interval 
is given by this expression:
average rate of change = 
It is a measure of how much the function changed per unit, on average, over that interval.
Given:
(a) To find the net change of the function, first we calculate the values of 
and 
The net change is simply the difference
(b) The average rate of change takes the net change and divides it by the change in the 
value.
.1 Simplify: 5n(2n3+n2+8)+n(4-n).
Solution:
5n(2n3+n2+8)+n(4-n).
= 5n × 2n3 + 5n × n2 + 5n × 8 + n × 4 - n × n.
= 10n4 + 5n3 + 40n + 4n – n2.
= 10n4 + 5n3 + 44n – n2.
= 10n4 + 5n3 – n2 + 44n.
Answer: 10n4 + 5n3 – n2 + 44n
Sample space = {p, r, o, b, a, b, i, l, I, t, y} = 11 possible outcomes
1sr event: drawing an I ( there are 2 I); P(1st I) = 2/11
2nd event drawing also an i: This is a conditional probability, since one I has already been selected the remaining number of I is now 1, but also the sample space from previously 11 outcome has now 10 outcomes (one letter selected and not replaced)
2nd event : P(also one I) = 1/10
P(selecting one I AND another I) is 2/11 x 1/10
P(selecting one I AND another I) =2/110 = 0.018
No, Shani is not right.
The 1st customer to get popcorn and apple juice is the 18th customer.
She missed that 18 is a common multiple of 6 & 9
