Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points)

Each equation is a line and therefore will intercept each other at a single point. These points converge where the two y values are the same as that will produce the same coordinate. Therefore, we find the place where the two y values are equal to each other by setting the equations equal to each other.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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step-by-step explanation:

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