A, B, E, and F are mathematical sentences.
Answer:
4 + (3s/10) gallons
Step-by-step explanation:
Originally, there are 4 gallons. Add that to the expression. Every second, 3/10 gallon are filled. So s times 3/10 equal the total number of gallons added. Add both expressions together to get the answer.
We are given the function:
g(x) = 6 (4)^x
Part A.
To get the average rate of change, we use the formula:
average rate of change = [g(x2) – g(x1)] / (x2 – x1)
Section A:
average rate of change = [6 (4)^1 – 6 (4)^0] / (1 – 0) =
18
Section B:
average rate of change = [6 (4)^3 – 6 (4)^2] / (3 – 2) =
288
Part B.
288 / 18 = 16
Therefore the average rate of change of Section B is 16 times
greater than in Section A.
<span>The average rate of change is greater between x = 2 to x = 3 than between
x = 1 and x = 0 because an exponential function's rate of change increases
with increasing x (not constant).</span>
Answer:
5 and -5
Step-by-step explanation:
Opposite numbers are the same distance from 0 on the number line. So, each of the numbers is a distance from zero that is half the distance between them.
The numbers are 10/2 = 5, and -5.
