When \( x=4.5 \) and \( y=4 \), which of the expressions below will be greater than 20 ? Select all that apply. \[ \begin{array}{l}\text { A) } 10 x-2 y^{2} \\ \text { B) } \frac{2 x y}{6} \\ \text { C) } 20 x-4 y^{2} \\ \text { D) } 2 x y\end{array} \]

Let's evaluate each expression with \( x = 4.5 \) and \( y = 4 \) to determine which ones are greater than 20. A) \( 10x - 2y^2 \) \[ 10(4.5) - 2(4)^2 = 45 - 2(16) = 45 - 32 = 13 \] This expression is not greater than 20. B) \( \frac{2xy}{6} \) \[ \frac{2(4.5)(4)}{6} = \frac{36}{6} = 6 \] This expression is not greater than 20. C) \( 20x - 4y^2 \) \[ 20(4.5) - 4(4)^2 = 90 - 4(16) = 90 - 64 = 26 \] This expression is greater than 20. D) \( 2xy \) \[ 2(4.5)(4) = 36 \] This expression is greater than 20. So, the expressions that are greater than 20 are: C) \( 20x - 4y^2 \) D) \( 2xy \)