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pshichka [43]
3 years ago
13

State the intervals for which the given quadratic is positive and when it is negative.

Mathematics
1 answer:
goblinko [34]3 years ago
3 0

Answer:

  • Positive at (-9, 2)
  • Negative at ( -oo, -9) or (2, + oo)

Step-by-step explanation:

<u>Given function</u>

  • y= -2x^2 - 14x + 36

<u>Getting zero's</u>

  • -2x^2 - 14x + 36 = 0
  • x^2 + 7x - 18 = 0
  • x = ( -7 ± √(49 +72))/2 = ( -7 ± 11)/2
  • x = - 9 and x = 2

<u>As the x^2 has negative coefficient, the function is positive between -9 and 2</u>

  • - 9 < x < 2 or
  • (-9, 2)

<u>And it is negative at:</u>

  • x < -9 and
  • x > 2
  • or
  • ( -oo, -9) or (2, + oo)

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Hello there!


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Explanation and Work:



We first must identify if the line goes through the origin or not. 

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The specific equation we would you use would be:

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We find this by finding the slope.

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I hope I helped!

Let me know if you need anything else!

~ Zoe


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