Julie has 1,429 reward points from shopping at an online store. She uses the points to buy gift cards for free cups of coffee. Each card costs 150 points. What is the greatest number of gift cards Julie can buy?
How many reward points will she have left?

Julie can buy 9 gift cards and will have 79 reward points left over

Step-by-step explanation:

If you divide 1,429 by 150, the number before the decimal, 9, is how many she can buy without exceeding her limit

Then, multiply 9 and 150 to see how many points 9 gift cards is worth (1350)

Subtract 1429-1350 to find the leftover points (79)

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