Answer:

Step-by-step explanation:
Given

i.e. first to fifth
Required
Determine number of selection
1st position = Any of the 30 students
2nd position = Any of the 29 students
3rd position = Any of the 28 students
4th position = Any of the 27 students
5th position = Any of the 26 students
Number of selection is then calculated as:


Answer:
Step-by-step explanation:
If you plot the vertex and the point, you see that the point is above the vertex. Therefore, this is a positive parabola with the work form of

We have values for x, y, h, and k. Let's write the equation of the parabola, put it into function notation, then find another x value at which to evaluate it.
and
and
8 = 9a - 1 and
9 = 9a so
a = 1. The equation of the parabola in function notation is

Since the vertex is at (3, -1) it would make sense to evaluate the function at x values close to the vertex. Let's evaluate the function at an x value of 4:
and
and
f(4) = 0. That means that another point on this parabola will be (4, 0).
The answer is 144 over 13