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butalik [34]
2 years ago
7

The function y= x2 - 10x+ 31 has a value of

Mathematics
1 answer:
Margarita [4]2 years ago
5 0

Answer:

  • y = 6 at x = 5

Step-by-step explanation:

It is assumed the question is about finding the minimum value as the given function has no maximum value, it is + ∞ as the coefficient of x² is positive

<u>The minimum/maximum value of a quadratic function is the vertex, which is at:</u>

  • x = -b/2a

<u>For the given function y = x² -10x + 31, the vertex is:</u>

  • x =  - (-10)/2*1 = 10/2 = 5

<u>The value of y at this point is:</u>

  • y = 5² - 10*5 + 31 = 25 - 50 + 31 = 6

<u>The point is </u>

  • (5, 6)

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