Answer:

Step-by-step explanation:
we are given a exponential function

where x represents the number and f(x) represents the amount
we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165
to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by

substitute what we have:

simplify substitution:

simplify division:

hence, the average rate of change between 3 and 6 is <u>7</u><u>0</u><u>2</u>
24 glasses would be needed to fill up a 3 liter jub
13/20
13x5= 65
20x5= 100
65/100 = 0.65
0.65%
Answer :
Points at (1, 3) and (3, 3) and (2, 1)
Explanation:
The original graph (dashed) is an absolute value function meaning f(x) = |x|
<u>Given:</u> y = 2f(x - 2) + 1
f(x - 2) means you plug in x - 2 for x in f(x) function
the new graph equation is: y = 2|x - 2| + 1
- The graph will shift up 1 because +1
- The graph will shift right because -2
- The graph has a scale factor of 2
- The graph is V shaped because it is an absolute value graph
Learn more about Absolute Value here: brainly.com/question/729268
<u>Visual:</u>
The formula
a(n) = 2 - 5(n-1)
is in the form
a(n) = a1 + d(n-1)
where
a1 = first term = 2
d = -5 = common difference
The first term is carried over to the recursive formula. We start with a1 = 2. The next term after that is found by subtracting 5 from the previous term. So
second term = (first term) - 5
third term = (second term) - 5
and so on
The recursive step would be
a(n) = a(n-1)-5
So that's why the answer is choice C