In order to invert a function, switch y and x in the definition, and solve for y again:
![y=2x+1 \mapsto x=2y+1](https://tex.z-dn.net/?f=y%3D2x%2B1%20%5Cmapsto%20x%3D2y%2B1)
Solving for y, we have
![x=2y+1\iff x-1=2y \iff y=\dfrac{x-1}{2}](https://tex.z-dn.net/?f=x%3D2y%2B1%5Ciff%20x-1%3D2y%20%5Ciff%20y%3D%5Cdfrac%7Bx-1%7D%7B2%7D)
The Probability of winning is 5/8.
Answer:
reflect over the x-axis and shift down 3
Step-by-step explanation:
The leading coefficient of -1 means the graph is reflected over the x-axis. The addition of -3 to the function means each graphed point is shifted down 3 units from the original.
The graph of y = -x^2 -3 is the result of the transformation ...
reflect over the x-axis and shift down 3
Answer:
8
Step-by-step explanation:
the sum of 5 and 7 is 12
hence, 2/3 x 12 = 8
1:7, 1 to 7, and I forgot the other way.