Answer:
D
Step-by-step explanation:
first, you take the total and divide it by 3 since 3 is multiplied by x
when you divide -27 by 3 you get -9 and that is the answer.
-27/3=-9
x=-9
Answer:
![g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}](https://tex.z-dn.net/?f=g%5E%7B-1%7D%28x%29%3D-%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B15%7D%7B2%7D)
Step-by-step explanation:
Given function,
![g(x) = -\frac{2}{3}x-5](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx-5)
Step 1 : Replace g(x) by y:
![y = -\frac{2}{3}x-5](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dx-5)
Step 2 : Swap x and y:
![x = -\frac{2}{3}y-5](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B2%7D%7B3%7Dy-5)
Step 3 : Solve the equation for y ( isolate y in the left side ):
![x +\frac{2}{3}y=-5](https://tex.z-dn.net/?f=x%20%2B%5Cfrac%7B2%7D%7B3%7Dy%3D-5)
![\frac{2}{3}y=-5-x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7Dy%3D-5-x)
![y=\frac{3}{2}(-5-x)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B2%7D%28-5-x%29)
![y=-\frac{15}{2}-\frac{3}{2}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B15%7D%7B2%7D-%5Cfrac%7B3%7D%7B2%7Dx)
![y=-\frac{3}{2}x-\frac{15}{2}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B15%7D%7B2%7D)
Step 4: Replace y by
:
![g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}](https://tex.z-dn.net/?f=g%5E%7B-1%7D%28x%29%3D-%5Cfrac%7B3%7D%7B2%7Dx-%5Cfrac%7B15%7D%7B2%7D)
Hence, the inverse of the function g(x) is
.
Answer:
y = -1x + 5
Step-by-step explanation:
First, this is your current equation: y= -1x + b. Plug in the point to the equation to get this: 3 = -1(2) + b. Multiply -1 by 2 to get -2. It should look like this: 3 = -2 + b. Add 2 to both sides of the equation to get 5 = b. Go back to your original equation and plug 5 in for b. This is your final equation: y = -1x + 5. Hope this helped!
The formula is to calculate the overall height of the cannon ball.
the -16T62 is for the force of gravity, the 50t is for the velocity the ball travels, and the +2 is the initial height off the ground.
The answer would be: the initial height of the cannonball.
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