G(x) = -x^ + 8x + 6 please could someone help with this ? Also the -x^ is just x to the second place :)

Evaluate cos2θ for cosθ = square root of 3/2

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups

Angle that produces maximum distance