Answer:
Step-by-step explanation:
So we have the function:
To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:
Switch:
Add 1 to both sides:
Divide both sides by 6:
And that's our answer :)
Answer:
Amount in 4% account: $550
Step-by-step explanation:
Use simple interest formula 
where
I = interest
P = principal
r = rate (as decimal)
t = time.
<u>4% account:</u>
then
<u>5% account:</u>
then
You have earned $69.50 in total, so
Amount in 4% account: $550
Amount in 5% account: $950
Answer: each salesperson sold 89 cars last year.
Step-by-step explanation:
The total number of sales people at the dealership shop is 13.
Last year they each sold the same number of cars. The total number of cars that they sold together last year was 1157. Therefore, the number of cars that each salesperson sold would be
Total number of cars sold/ number of salespersons
It becomes
1157/13 = 89
Answer:
Resulting equation will be 5x²=36.
Step-by-step explanation:
The given equations are 5y = 10x-----(1)
and x²+y²=36------(2)
Now we substitute the value of y from equation (1) into equation (2).
5y = 10x ⇒ y = 2x
Then equation (2) will be x²+(2x)²=36
x²+4x²=36 ⇒ 5x² = 36
So the equation after substitution of the value of y from equation 1 will be 5x² = 36.
Answer:
Domain is the set of inputs that will give you a defined output.
In example, f(x)=5/x, the domain would be all real numbers except for 0, because if it would be 0, it would be 5/0 which would be undefined.
Range is the set of outputs that are possible.
In example, f(g)=g(0), the range would be 0.
