In order to find the vertex for each of these (what you need to help you find the axis of symmetry which is an "x=" equation) you have to complete the square on g(x) and h(x). f(x) is already as simplified as it's going to be and the axis of symmetry hasn't moved from the y-axis, so the axis of symmetry is x=0. Completing the square on g(x) puts it into the vertex form of (x-2)^2+1 = y and the axis of symmetry is x=2. Completing the square of h(x) puts it into the vertex form of -2(x-1)^2+3 = y and the axis of symmetry is x = 1. So putting them in order you have f(x) then h(x) and then g(x)
Answer:
First you do, $53.27+$452.68=$505.95
Next you do, $193+$298.11=$491.11
Last you do, $505.95-$491.11=$14.84
So in the end, the camp counselor will have $14.84 left.
Step-by-step explanation:
Hope that helps! :)
First use distributive property on -3(t+5), which would be -3t minus -15.
Then, add all like terms: -3t-15+4t+2 ---> -3t+4t+2-15 --> t-13.
t-13=8, add 13 to both sides. This cancels the -13 and makes 8 to 21.
Therefore, t=21
