4+2p=10(3/5p-2) solve for p give an exact answer

Simplify 3/5p tp 3p/5

4 + 2p = 10(3p/5 - 2)

Expand

4 + 2p = 6p - 20

Subtract 2p from both sides

4 = 6p - 20 - 2p

Simplify 6p - 20 - 2p to 4p - 20

4 = 4p - 20

Add 20 to both sides

4 + 20 = 4p

Simplify 4 + 20 tp 24

24 = 4p

Divide both sides by 4

24/4 = p

Simplify 24/4 to 6

6 = p

Switch sides

p = 6

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

what are the options? ?

step-by-step explanation: