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PilotLPTM [1.2K]
2 years ago
6

Please help me, 65 points to someone who can help me.

Mathematics
2 answers:
Romashka-Z-Leto [24]2 years ago
7 0
X= -1/2, -11/2 or in decimal form x=-0.5, -5.5
givi [52]2 years ago
3 0

Answer:

  • <u>x = -0.5 , x = -5.5</u>

Step-by-step explanation:

<u>Solving</u>

  • -4x² = 24x + 11
  • 4x² + 24x + 11 = 0
  • 4x² + 24x + 36 - 36 + 11 = 0
  • (2x + 6)² - 25 = 0
  • (2x + 6)² = 25
  • ⇒ 2x + 6 = ±5

<u>Case 1 : x = +5</u>

  • 2x + 6 = 5
  • 2x = -1
  • x = -1/2
  • <u>x = -0.5</u>

<u></u>

<u>Case 2 : x = -5</u>

  • 2x + 6 =  -5
  • 2x = -11
  • x = -11/2
  • <u>x = -5.5</u>
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Complete question:

The growth of a city is described by the population function p(t) = P0e^kt where P0 is the initial population of the city, t is the time in years, and k is a constant. If the population of the city atis 19,000 and the population of the city atis 23,000, which is the nearest approximation to the population of the city at

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