The polynomial -2x^2+500x represents the budget surplus of the town of alphaville. betaville's surplus is represented by x^2-100x+10,000. if x represents the tax revenue in thousands from both towns, which expression represents the total surplus of both towns together?

The answer to your question is:   Total surplus = - x² + 400 x + 10,000

Step-by-step explanation:

Data

Alphaville       - 2x² + 500 x

Betaville         x² - 100 x + 10,000

Surplus of both towns = ?

Process

Add the surplus of both towns

Total surplus = Alphaville surplus + Betaville surplus

Total surplus =   - 2x² + 500 x +  x² - 100 x + 10,000

Total surplus = - x² + 400 x + 10,000