Question

I need help with my homework PLEASE CHECK WORK WHEN DONEI need help with number 1

Answer 1

Given:

`\begin{gathered} m(x)\text{ =}(57)/(28)x^2\text{ -}(9)/(8)x\text{ - }(10)/(6) \\ n(x)\text{ = }(10)/(6)x\text{ - }(8)/(9) \end{gathered}`

We are required to find the function p(x) that describes the difference between m(x) and n(x)

The function p(x) is:

`\begin{gathered} p(x)\text{ =m\lparen x\rparen - n\lparen x\rparen} \\ =(57)/(28)x^2\text{ -}(9)/(x)x\text{ - }(10)/(6)\text{ -\lparen}(10)/(6)x\text{ -}(8)/(9)) \\ =\text{ }(57)/(28)x^2\text{ - }(9)/(8)x\text{ -}(10)/(6)\text{ - }(10)/(6)x\text{ +}(8)/(9) \end{gathered}`

Simplifying further:

`\begin{gathered} p(x)=(57)/(28)x^2\text{ -}(9)/(8)x\text{ -}(10)/(6)x\text{ -}(10)/(6)\text{ + }(8)/(9) \\ =\text{ }(57)/(28)x^2\text{ -}\frac{27x-40x\text{ }}{24}\text{ + }\frac{-90\text{ + 48}}{54} \\ =\text{ }(57)/(28)x^2\text{ -}(67x)/(24)\text{ -}(42)/(54) \\ =\text{ }(57)/(28)x^2\text{ -}(67)/(24)x\text{ -}(7)/(9) \end{gathered}`

Answer: Option A