we are given that the following polynomials model the number of sandwiches sold per day:
[tex]\begin{gathered} HC=4s^3-28s^2+33s+250 \\ P=-7.4s^2+32s+180 \end{gathered}[/tex]The total amount of sandwiches is equivalent to the sum of both polynomials:
[tex]4s^3-28s^2+33s+250-7.4s^2+32s+180[/tex]Associating like terms:
[tex]4s^3+(-28s^2-7.4s^2)+(33s+32s)+(250+180)[/tex]Adding like terms:
[tex]4s^3-35.4s^2+65s+430[/tex]Since we can simplify any further, this is the polynomial that models the total amount of sandwiches.
