A warehouse manager is combining two inventory reports to determine the total stock of three different electronic components. The first report lists the components as ${}3x^2 + 7x + 9$ and the second report lists them as ${}7x^2 + 9x + 8$. Based on the procedure for combining like terms, what is the simplified expression for the total inventory?

A project manager is calculating the total budget for two phases of a marketing campaign. The budget for Phase 1 is represented by the algebraic expression ${}3x^2 + 7x + 9$, and the budget for Phase 2 is ${}7x^2 + 9x + 8$. If the manager simplifies the overall budget by combining like terms, the resulting expression will be ${}10x^2 + 16x + 17$.

A project supervisor is consolidating two departmental cost models: ${}3x^2 + 7x + 9$ and ${}7x^2 + 9x + 8$. To create a master report, the supervisor must follow the procedure for combining like terms. Match each group of terms from the original models to its correctly simplified sum.

A logistics coordinator is merging two departmental efficiency models represented by the expressions ${}3x^2 + 7x + 9$ and ${}7x^2 + 9x + 8$. To simplify the total efficiency model, arrange the following steps in the correct order according to the procedure for combining like terms.

Consolidating Departmental Supply Models

An inventory specialist needs to determine the total count of parts from two warehouse sections, which are modeled by the expressions ${}3x^2 + 7x + 9$ and ${}7x^2 + 9x + 8$. After combining the like terms, the completely simplified expression for the total inventory is ____.