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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​

Respuesta :

Answer:

[tex]P(x)=-0.3x^2+56x-14[/tex]  

Step-by-step explanation:

The given functions are

[tex]R(x)=59x-0.3x^2[/tex]

[tex]C(x)=3x+14[/tex]

It is given that

[tex]P(x)=R(x)-C(x)[/tex]

Substitute the values of given functions in the above equation.

[tex]P(x)=59x-0.3x^2-(3x+14)[/tex]

[tex]P(x)=59x-0.3x^2-3x-14[/tex]

Combine like terms.

[tex]P(x)=-0.3x^2+(59x-3x)-14[/tex]

[tex]P(x)=-0.3x^2+56x-14[/tex]  

Therefore, the required function is [tex]P(x)=-0.3x^2+56x-14[/tex]   .

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