Select the two values of x that are roots of the given polynomial below.

x^2-3x-5

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

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?

Evaluate cos2θ for cosθ = square root of 3/2