Answer:
4,810
Step-by-step explanation:
$10 per ticket times 741 people (10 * 741) is 7,410, then subtract the cost to produce the play, 7,410 - 2600 = 4,810.
Answer: y = 5x + 10
Step-by-step explanation:
y= 5x + 10
THINK ABOUT IT! if 5 is for EACH additional session and x is equal to the NUMBER OF SESSIONS...... then 5 times x will give you the cost for each additional session, but NOT INCLUDING THE 10 FOR THE FIRST SESSION. so simply just do 5x + 10 and y is the total cost so
y = 5x + 10
Answer:
there would be 420 cards in total
Step-by-step explanation:
Answer:
![\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20g%5E%7B-1%7D%28x%29%3D%5Cfrac%7B-7%2B2x%7D%7Bx-2%7D)
Step-by-step explanation:
We are given the function:
![\displaystyle g(x)=-\frac{3}{x-2}+2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20g%28x%29%3D-%5Cfrac%7B3%7D%7Bx-2%7D%2B2)
Let's find the inverse of g.
Call y=g(x):
![\displaystyle y=-\frac{3}{x-2}+2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D-%5Cfrac%7B3%7D%7Bx-2%7D%2B2)
We need to solve for x. Multiply both sides by x-2 to eliminate denominators:
![y(x-2)=-3+2(x-2)](https://tex.z-dn.net/?f=y%28x-2%29%3D-3%2B2%28x-2%29)
Operate:
![yx-2y=-3+2x-4](https://tex.z-dn.net/?f=yx-2y%3D-3%2B2x-4)
Collect the x's to the left side and the rest to the right side of the equation:
![yx-2x=-3-4+2y](https://tex.z-dn.net/?f=yx-2x%3D-3-4%2B2y)
Factor the left side and operate on the right side:
![x(y-2)=-7+2y](https://tex.z-dn.net/?f=x%28y-2%29%3D-7%2B2y)
Solve for x:
![\displaystyle x=\frac{-7+2y}{y-2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B-7%2B2y%7D%7By-2%7D)
Interchange variables:
![\displaystyle y=\frac{-7+2x}{x-2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D%5Cfrac%7B-7%2B2x%7D%7Bx-2%7D)
Call y as the inverse function:
![\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdisplaystyle%20g%5E%7B-1%7D%28x%29%3D%5Cfrac%7B-7%2B2x%7D%7Bx-2%7D%7D)
(-4,0) (-3,3) (-1,0) (0,-3) (1,-5) (3,0)
So, domain numbers are -4, -3, -1, 0, 1, 3
Range are 0, 3, -3,-5,
Just take the ordered pairs and the Xs is the domain and the Ys are the range