Divide 32x3 + 48x2 − 40x by 8x. 4x2 − 6x + 5
4x2 + 6x − 5
4x3 − 6x2 + 5
4x3 + 6x2 − 5

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Thelime contains the point(-3,0) and parallel x-3y=3( show all work)

Find the volume of the described solid.the solid lies between planes perpendicular to the x-axis at x = 0 and x=7. the cross sectionsperpendicular to the x-axis between these planes are squares whose bases run from the parabolay=-31x to the parabola y = 30/x.a) 441b) 147c) 864d) 882