Answer:
The expression is equal to ![3.50h+4](https://tex.z-dn.net/?f=3.50h%2B4)
Step-by-step explanation:
Let
x ----> the number of hours that the roller blades are rented
y ----> the cost of renting roller blades in dollars
we know that
The linear equation in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
In this problem we have
The slope is equal to
![m=\$3.50\ per\ hour](https://tex.z-dn.net/?f=m%3D%5C%243.50%5C%20per%5C%20hour)
The y-intercept is equal to
----> value of y when the value of x is equal to zero
substitute
![y=3.50x+4](https://tex.z-dn.net/?f=y%3D3.50x%2B4)
For x=h hours
substitute
![y=3.50h+4](https://tex.z-dn.net/?f=y%3D3.50h%2B4)
Answer:
f(g(x)) = x
Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other.
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
= x + 25 - 25
= x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)
Hope this helps :)
Answer:
{(0,0),(0,1),(1,2),(1,3)}
Step-by-step explanation:
If this was a function it would be (0,0) ,(1,1), (2,2) ,(3,3) and so on
The answer to the square root of 40 is 6.33