Step-by-step explanation:
f(x) = (3/2)ˣ
g(x) = (2/3)ˣ
These are examples of exponential equations:
y = a bˣ
If b > 1, the equation is exponential growth.
If 0 < b < 1, the equation is exponential decay.
So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.
Also, 2/3 is the inverse of 3/2, so:
g(x) = (3/2)^(-x)
So more specifically, f(x) and g(x) are reflections of each other across the y-axis.
Answer:

Given:
- adjacent: 4 cm
- hypotenuse: x cm
- angle: 45°
<u>using cosine rule:</u>




Answer:
so you would replace all r with 2 which is 2+q-2
then replace the q with 6 so it would be: r+6-r
combined both of these to get
2+6-2
which would equal to 6
add the 2 and the 6 to get 8
then subtract 2 to get 6
Gene earns 2% interest after depositing $150 into his account , Option D.
<h3>What is a Function ?</h3><h3 />
A function is a law that relates an independent variable and a dependent variable with each other.
The function given is
f(x) = 0.02 x +150
Option D , Gene earns 2% interest after depositing $150 into his account
So this verbal description matches the function given as it represents , the total account balance of Gene .
Therefore Option D is the correct answer.
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Answer:

Step-by-step explanation:
Let
x------> the number of days
y----> the cost of renting a car
we know that
For 

For 
The rate is equal to

so

In this problem. the car has been rented for more than a week
therefore

The cost of renting a car is equal to
