Acompany a flat rate of $129 yearly, and $7.99 for each hd movie rental, yr company charged a flat rate of $144 yearly and $4.99 for each movie rental. solve the system of equations to determine how many movies you must rent from each company to have equal bills. show work and explain. b. what would be the dollar amount when the bills are equal?

5 movies, $168.95

Step-by-step explanation:

129+7.99x=144+4.99x

7.99x-4.99x=144-129

3x=15

x=5

y=129+7.99*5=168.95

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

a

step-by-step explanation:

its wrong