Calculating
the value of f(x) for the given interval.
For x = -
4, f(x) = f(- 4) = (- 4)^2 + 2 (- 4) + 3 = 11
For x =
6, f(x) = f(6) = (6)^2 + 2 (6) + 3 = 51
Now using
formula for the calculation of average rate of change of f(x) over the given
interval of [- 4, 6];
(f(b) –
f(a)) / b – a = (f(6) – f(- 4)) / 6 – (- 4) = (51 -11) / 10 = 4
<span>So option “E” is
correct.</span>
Answer:

Step-by-step explanation:
We want to evaluate

We have a power to evaluate.
The base is 3
The exponent is 4.
What this means it's to multiply the base by itself four times


In general, if you have aⁿ , you multiply 'a' by itself n-times.
You follow bedmas (brackets, exponents,division,multiplication,addition,subtraction). First comes the brackets so you do (60 divided by 10) which is 6. You still have (6) which means you have to multiply it by 2. So you get 12. Now you got rid of the brackets so you can solve the rest. 90-12-4= 74.
Answer:
5,035,041
Step-by-step explanation:
Exponential growth:

y = future amount
a = initial amount
r = growth rate
x = number of periods
Part A: growth at the rate of doubling each 15 minutes for 274 minutes
Each period is 15 minutes.
a = 37
x = 274/15 = number of periods
r = 100%

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Exponential decay:

The growth takes place from 9 AM for 274 minutes, or 4 hours and 34 minutes, until 1:34 PM. The decay goes from 1:34 PM to 7 PM, or 5 hours and 26 minutes, or 326 minutes
Part B: decay at the rate of 6% each 24 minutes for 326 minutes


Answer: 5,035,041