Brian wants to purchase a car wash package from his local car wash. Package A is an unlimited number of car washes for a month, and it costs $35$35 with no additional charges. Package B is $22$22 for the month plus $1.50$1.50 per car wash. Brian wants to know how many car washes he would need to get in a month to make Package A the better deal. Which equation and calculation would help him make this decision

Step-by-step explanation:

Let x represent the number of car washes that he gets in a month with either packages.

Package A is an unlimited number of car washes for a month, and it costs $35 with no additional charges. It means that the cost of x car washes is $35.

Package B is $22 for the month plus $1.50 per car wash. It means that the cost of x car washes with package B is

1.5x + 22

For Package A to be the better deal, the equation to find the the number of car washes he would need to get in a month is

1.5x + 22 > 35

1.5x > 35 - 22

1.5x > 13

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

2 is the final ! : )