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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?

Respuesta :

joseaaronlara

Answer:

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

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