Explanation: 1. You just plug in 8 for x into the g(x) equation So, -(8)^2+7(8)= -8
2. You do the same thing you did for number one. Plug in 13 for the h(x) equation |2-4(13)|= 50 Then plug in -1 for the f(x) equation -(-1)^2+7(-1)= -8 You then do as it says- subtract h(x) from f(x) Which is 50-(-8) and you get 58. (That subtraction sign turns into addition/ 2 negatives make a positive)
3. Same thing again. Plug in what they gave you (3y-1) for X 8(3y-1)-9 You get 24y-17 You then subtract off the -17 and get 24y=17 Divide the 24 off and get y=17/24 Plug the Y back into the equation 8(3(17/24)-1)-9 and you get 0
*Im not a hundred percent sure I did this one right*
4. This is the same as number 3. Didn’t have time to solve this, but it’s the same steps as number 3 :)
5. This time they didn’t give you x so you set it up differently Now you set the f(x) equation equal to -23 8x-9=-23 Add off the to the 23 to isolate the variable 8x= -14 Divide off the 8 X= -14/8 or -1.75
To find the height from which the potato was launched, you need to set the time to 0 (since that is at the beginning). Plugging this into the equation, you get:
