Determine all values of k for which the roots of the equation x^2-6x+k=0 are imaginary

Which expressions are equivalent to -6 + 3m

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?

Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.