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Mashcka [7]
2 years ago
12

Which inequality in standard form represents the shaded region?

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
5 0

The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)

<h3>What inequality represents the figure</h3>

In accordance with the figure, we have an inequation of the form y ≥ f(x). Now we proceed to find the <em>quadratic</em> equation of the parabola:

f(x) = a · (x + 1) · (x - 9)

- 125 = a · (4 + 1) · (4 - 9)

- 125 = a · 5 · (- 5)

- 125 = - 25 · a

a = - 5

f(x) = 5 · (x + 1) · (x - 9)

f(x) = 5 · (x² - 8 · x - 9)

f(x) = 5 · x² - 40 · x - 45

The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)

To learn more on inequalities: brainly.com/question/17675534

#SPJ1

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