Darlene is making a quilt that has alternating strips of regular quilting fabric and sateen fabric. The sateen fabric costs $6 per yard and the quilting fabric costs $4 per yard. She spends $76 on a total of 16 yards of the two fabrics at a fabric store. Write a system of equations that can be used to find the amount x (in yds) of regular quilting fabric and the amount y (in yards) of sateen fabric she purchased. Then determine how many yards of each fabric she bought.

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

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25