Question

The polynomial −2x2 + 700x represents the budget surplus of the town of Alphaville. Betaville's surplus is represented by x2 − 400x + 50,000. If x represents the tax revenue in thousands from both towns, enter the expression that represents the total surplus of both towns together.

The expression that represents the total surplus of both towns together is ???

Answer 1

- x²+ 300x + 50,000

Explanation:

The polynomial −2x² + 700x represents the budget surplus of the town of Alphaville.

Again, Betaville's surplus is represented by x² − 400x + 50,000.

{where x is the tax revenue in thousands from both towns}

Now, the expression that represents the total surplus of both towns together will be

= (−2x² + 700x) + (x² − 400x + 50,000)

= - x²+ 300x + 50,000

where x is the tax revenue in thousands from both towns. (Answer)