![- 8.](https://tex.z-dn.net/?f=%20-%208.)
Step-by-step explanation:
![h(x) = 2 {x}^{2} - 5x + k](https://tex.z-dn.net/?f=h%28x%29%20%3D%202%20%7Bx%7D%5E%7B2%7D%20%20-%205x%20%2B%20k)
If h(-2) = 3.
Then, h(-1) =
![h( - 1) = 2 {( - 1)}^{2} - 5( - 1) + k](https://tex.z-dn.net/?f=h%28%20-%201%29%20%3D%202%20%7B%28%20-%201%29%7D%5E%7B2%7D%20%20-%205%28%20-%201%29%20%2B%20k)
![h( - 1) = 2 + 5 + k](https://tex.z-dn.net/?f=h%28%20-%201%29%20%3D%202%20%2B%205%20%2B%20k)
![h( - 1) = 7 + k](https://tex.z-dn.net/?f=h%28%20-%201%29%20%3D%207%20%2B%20k)
![- 1 - 7 = k](https://tex.z-dn.net/?f=%20-%201%20-%207%20%3D%20k)
![- 8 = k](https://tex.z-dn.net/?f=%20-%208%20%3D%20k)
A) There was no change in the number of students on honor roll from one year to the next. This is noticeable because 200/1000 = .2 just as 20%/100% = .2 or 20/100 = .2. So there never was a change!
Answer:
Step-by-step explanation:
(3,1) lies below the vertex, so the parabola opens downwards.
Equation for a down-opening parabola with vertex (2,3):
y = a(x-2)² + 3, a<0
Plug in (3,1) and solve for a:
1 = a1² + 3
a = -2
y = -2(x-2)² + 3
Answer:
One solution
Step-by-step explanation:
In this graph, the two lines only intersect once, meaning there is only one solution. If they intersect twice, then there are two solutions. If the two lines are parallel, there are no solutions. If the lines are the same, there are an infinite amount of solutions.
Answer:
D
Step-by-step explanation: