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sleet_krkn [62]
3 years ago
7

The polynomial -2x^2+500x represents the budget surplus of the town of alphaville. Betaville's surplus is represented by x^2-100

x+10,000. If x represents the tax revenue in thousands from both towns, which expression represents the total surplus of both towns together?
Mathematics
1 answer:
lozanna [386]3 years ago
8 0

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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Answer:

\boxed{ \bold{ \sf{ \: 1. \:  \:  \:  \:  \: 198}}}

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\boxed{ \bold{ \sf{ 3. \:  \:  \:  \:  \: \frac{64}{343} }}}

Step-by-step explanation:

1. Given, u = 20 , x = 4 , y = 7 , z = 10

\sf{ \frac{u}{z}  + x {y}^{2} }

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⇒\sf{ \frac{20}{10}  + 4 \times 49}

⇒\sf{ \frac{20}{10}  + 196}

⇒\sf{ \frac{20 + 196 \times 10}{10} }

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⇒\sf{ \frac{1980}{10} }

⇒\sf{198}

2. \sf{4( - 2)}

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= - 8

3. \sf{( \frac{4}{7} ) ^{3} }

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⇒\sf{ \frac{64}{343} }

Hope I helped!

Best regards! :D

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