Answer
$-\frac{3}{16}$
Work Step by Step
We are given the expression $\frac{7x+9y}{w}$. We can plug in the given values to solve for the given expression.
$\frac{7(-\frac{3}{4})+9(\frac{1}{2})}{(4)}=\frac{\frac{7\times-3}{4}+\frac{9\times1}{2}}{4}=\frac{\frac{-21}{4}+\frac{9}{2}}{4}=\frac{\frac{-21}{4}+\frac{9\times2}{2\times2}}{4}=\frac{\frac{-21}{4}+\frac{18}{4}}{4}=\frac{\frac{-21+18}{4}}{4}=\frac{\frac{-3}{4}}{4}=-\frac{3}{4}\times\frac{1}{4}=-\frac{3}{16}$