Question

P(x)equals=​R(x)minus−​C(x). Given ​R(x)equals=59 x minus 0.3 x squared59x−0.3x2 and Upper C left parenthesis x right parenthesis equals 3 x plus 14C(x)=3x+14​

Answer 1

`P(x)=-0.3x^2+56x-14`

Explanation:

The given functions are

`R(x)=59x-0.3x^2`

`C(x)=3x+14`

It is given that

`P(x)=R(x)-C(x)`

Substitute the values of given functions in the above equation.

`P(x)=59x-0.3x^2-(3x+14)`

`P(x)=59x-0.3x^2-3x-14`

Combine like terms.

`P(x)=-0.3x^2+(59x-3x)-14`

`P(x)=-0.3x^2+56x-14`

Therefore, the required function is
`P(x)=-0.3x^2+56x-14` .