Question

Directions:For questions 12-16 simplify using the given replacement valued. There should be no decimals, convert all decimals to fractions. (Do not change whole numbers)I need help with 14

Answer 1

14. Given:

`(3)/(2)r-rs+4,r=(6)/(7),s=(2)/(3)`

Substitute the value of r and s in the given problem.

We get,

`\begin{gathered} (3)/(2)((6)/(7))-((6)/(7))((2)/(3))+4=3((3)/(7))-((2)/(7))(2)+4 \\ =(9)/(7)-(4)/(7)+4 \\ =(5)/(7)+4 \\ =(33)/(7) \end{gathered}`

Hence, the answer is

`(33)/(7)`