Identify which equations have one solution, infinitely many solutions, or no solution. No solution: One solution: Infinitely solution:

See below.

Step-by-step explanation:

1. 5u + 40 = 5u - 30

No solution.

2. 5.2z = 3.3

1 solution

3. (1/5)x = -2/3

1 solution

4. 1.3y + 3.2 = 1.3y + 3.2

Infinitely many solutions

5. (1/5)x = -2/3

1 solution

6. 2r = 12

1 solution

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

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step-by-step explanation: