2. Susan wants to use blue, yellow, green, and pink paint to decorate her house. She needs 3 times as much blue paint as yellow paint and ½ much yellow paint as green paint. She needs 3 ¼ gallons of pink paint, which is ¾ of a gallon more than the green paint she needs. How much paint does Susan need in all?

B = Blue

Y = Yellow

G = Green

P = Pink

The info that we have is:

3*B = Y

(1/2)Y = G

P = (3 + 1/4) gal

P = G + 3/4 gal.

So we have 4 equations. The first step is replacing the third equation into the fourth equation, and get:

G + 3/4 gal = (3 + 1/4) gal

G = (3 + 1/4) gal - 3/4 gal = (2 + 2/4) gal

Now we can replace this into the second equation ((1/2)*Y = G) to find the value of Y.

(1/2)Y = (2 + 2/4) gal

Y = 2*(2 + 2/4) gal = (4 + 1)gal = 5 gal.

Now we can replace this into the first equation and get:

3*B = 5gal

B = 5/3 gal = (1 + 2/3)gal

So the total amount of paint used is:

T = P + G + Y + B = (3 + 1/4) gal +  (2 + 2/4) gal + 5gal + (1 + 2/3)gal

T = (11 + 3/4 + 2/3)gal

T = (11 + 9/12 + 8/12)gal = (11 + 17/12)gal = (11 + 1 + 5/12)gal = (12 + 5/12) gal.

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

sorry, i don't know i just need points, i'm new here. chao