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5x - 4y + 2z :

5 (-8) - 4 (3) + 2 (-4)

-40 - 12 - 8

- 60

3x + 2 (x - 4) = 6x - 8 - x

3x + 2x -8 = 6x - 8 - x

5x - 8 = 5x - 8

Since both sides are equal, it has infinitely many solutions.

To find how many students chose flying, just add the numbers 26 and 12 to get 38 students.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this