Simplify 7x2-x+8 – 5x² + 3x - 10

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?

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

Convert the mixed numbers into improper fractions. convert the improper fraction to mixed numbers.