Here we can change the variables to real numbers, just to make things easier for us. For the sake of calculation, let’s say that x=10, y=6, and z=1.
So, y years from now, Yann will be x years old. If we plug in our randomly chosen numbers, we get that Yann will be 10 years old 6 years from now. This means that today, he would be x-y years old, or 10-6, so 4 years old today.
Next we ask how old he was z years ago, or in this case, 1 year ago. We know that if you’re 4 years old now, you were 3 years old last year. In other words, you’re 4-1 years old, or x-y-z years old.
Your answer is x-y-z.
Answer:
![\frac{x-8}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-8%7D%7B7%7D)
Step-by-step explanation:
A way to find the inverse function is to swap the x and y (f(x)) in the equation.
![y = 7x + 8\\x = 7y + 8\\x-8 = 7y\\y = \frac{x-8}{7}](https://tex.z-dn.net/?f=y%20%3D%207x%20%2B%208%5C%5Cx%20%3D%207y%20%2B%208%5C%5Cx-8%20%3D%207y%5C%5Cy%20%3D%20%5Cfrac%7Bx-8%7D%7B7%7D)
We can check that it is an inverse function by using a property of inverse functions:
![f(g(x)) = x](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20x)
If we plug in the f(x) function into the variable x of the inverse function, we should end up with x
![y = \frac{(7x + 8) - 8}{7}\\y = \frac{7x}{7} \\y = x\\](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B%287x%20%2B%208%29%20-%208%7D%7B7%7D%5C%5Cy%20%3D%20%5Cfrac%7B7x%7D%7B7%7D%20%5C%5Cy%20%3D%20x%5C%5C)
It checks out!
|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11
1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)
1)x<17
2)x>-5
so we get -5 < x < 17
the answer: (-5; 17)
Answer:
A: (0,0), B: (3, -4), 5 units
Step-by-step explanation:
A: (0,0), B: (3, -4)
To find the distance, use the distance formula. Square-root((0-3)^2+(0-(-4))^2) ---> Square-root((-3)^2 + 4^2) ---> Square-root(9+16) ---> Square-root(25) ---> 5units.
Answer:
there is no picture buddy. add the picture so someone can answer your question
Step-by-step explanation: