For the first interval (-1, 2), f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.
<h3>
Over which interval the rate of change is zero?</h3>
For a function f(x) we define the average rate of change over the interval (a, b) is defined as:
R = (f(b) - f(a))/(b - a)
Here the function is:
f(x) = x^2 - x -1
And the rate of change will be zero on an interval (a, b) if and only if:
f(b) = f(a).
Notice that the first interval is (-1, 2)
f(-1) = (-1)^2 - (-1) - 1 = 1 + 1 - 1 = 1
f(2) = 2^2 - 2 - 1 = 4 - 2 - 1 =1
Then f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.
If you want to learn more about average rate of change:
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Sence it is growing you are ganna want to start at 0 from where it begins as a sapling and then go right because it is adding on to how tall it is
Answer:
(a) The future value after 9 years is $7142.49.
(b) The effective rate is
.
(c) The time to reach $13,000 is 21.88 years.
Step-by-step explanation:
The definition of Continuous Compounding is
If a deposit of
dollars is invested at a rate of interest
compounded continuously for
years, the compound amount is

(a) From the information given



Applying the above formula we get that

The future value after 9 years is $7142.49.
(b) The effective rate is given by

Therefore,

(c) To find the time to reach $13,000, we must solve the equation


<h3>
Answer:</h3>
A. 28
<h3>
Step-by-step explanation:</h3>
We assume m is the measure of the marked unknown angles: ∠BZY ≅ ∠BZA
(5x +3)° = (2x +18)°
Divide by ° and subtract 2x+3:
... 3x = 15
... x = 5
Then ∠BZA = (2·5 +18)° = m = 28°
Y = 0.95x + 7.95
26 = 0.95x + 7.95
Solve for x
26-7.95 =0.95x
18.05/0.95 = x
X = 19 songs