Answer:
y = -cos(x) -2
Step-by-step explanation:
Multiplying the function value by -1 reflects it across the x-axis. Adding -2 to the function value shifts it down by two units.
reflected: y = -cos(x)
then shifted: y = -cos(x) -2
Answer:
650%
Step-by-step explanation:
1. Note that

2. Then the equation
can be rewritten

3. Solve it:

Answer: x=6
Answer:
Step-by-step explanation:
11.04 = 10(1.02)^n
1.104 = 1.02^n
ln 1.104 = ln 1.02^n
ln 1.104 = n ln 1.02
n = ln 1.104/ ln 1.02
n = 4.99630409516
4.99 can be rounded to 5.
So a reasonable domain would be 0 ≤ x < 5
PART B)
f(0) = 10(1.02)^0
f(0) = 10(1)
f(0) = 10
The y-intercept represents the height of the plant when they began the experiment.
f(1) = 10(1.02)^1
f(1) = 10(1.02)
f(1) = 10.2
(1, 10.2)
f(5) = 10(1.02)^5
f(5) = 10(1.1040808)
f(5) = 11.040808
f(1)=10(1.02)^1
f(1)=10.2
Average rate= (fn2-fn1)/(n2-n1)
=11.04-10.2/(5-1)
=0.22
the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.
There are approximately 4 weeks per month.
Mr. Gleason will take home 1100 x 4 weeks = $4,400 per month.
The total budget - his take home pay is the amount his wife will need to make:
5,600 - 4,400 = $1,200
Now divide the total amount she needs to make by how much she brings home per hour:
1,200 / 10 = 120
She needs to work 120 hours per month.
The answer is D.