Final answer:
To determine the total budget surplus of Alphaville and Betaville together, add their respective surplus polynomials, yielding a combined expression of 3x^2 + 700x + 30,000.
Step-by-step explanation:
To find the expression that represents the total surplus of both towns together, we need to add together the polynomials for each town's surplus. The polynomial 2x2 + 900x represents the budget surplus of the town of Alphaville, and Betaville's surplus is represented by x2 -200x + 30,000. Adding these two expressions together, we get:
- 2x2 + 900x (Alphaville's surplus)
- + x2 - 200x + 30,000 (Betaville's surplus)
Combining like terms, we get:
3x2 + 700x + 30,000
This is the expression that represents the total surplus when x represents the tax revenue in thousands from both towns.