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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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blsea [12.9K]

Answer:

y = - \frac{2}{3} x

Step-by-step explanation:

the equation of a linear function in slope- intercept form is

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Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 8, 2) and (x₂, y₂ ) = (1, - 4) ← 2 ordered pairs from the table

m = \frac{-4-2}{1-(-8)} = \frac{-6}{1+8} = \frac{-6}{9} = - \frac{2}{3}

the ordered pair (0, 0 ) indicates the line crosses through the origin, then

c = 0

y = - \frac{2}{3} x + 0 , that is

y = - \frac{2}{3} x ← equation of linear function

4 0
2 years ago
What is 0.7 turned into a fraction
egoroff_w [7]

Answer:

Step-by-step explanation:

7/10

5 0
3 years ago
The first and fourth terms of a proportion are called the means.
expeople1 [14]

Answer:

Never is the correct answer.

Step-by-step explanation:

The 1st and 4th terms are the extremes, the 2nd and 3rd terms are the means.

6 0
1 year ago
Which of the following equations represents the graph shown?
Elina [12.6K]

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3 0
2 years ago
Ms walkers science class is doing an egg drop experiment from the balcony of their school. Each egg is protected by a contraptio
mr_godi [17]

Answer:

The zeros, -1.48 and 1.48, represent the times where the egg is on the ground.

Step-by-step explanation:

The roots, or zeros, of an expression are the x-intercepts.  They are the points where the data crosses the x-axis.  The y-coordinate at these points is 0.  This means the height of the egg at these points is 0.

The values of a, b and c in this equation are -16, 0 and 35.  Using the quadratic formula,

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\=\frac{-0\pm \sqrt{0^2-4(-16)(35)}}{2(-16)}\\\\=\frac{0\pm \sqrt{0--2240}}{-32}\\\\=\frac{0\pm \sqrt{2240}}{-32}\\\\=\frac{0\pm 47.33}{-32}\\\\=\frac{0+47.33}{-32}\text{ or }\frac{0-47.33}{-32}\\\\=\frac{47.33}{-32}\text{ or }\frac{-47.33}{32}\\\\=-1.48\text{ or }1.48

7 0
3 years ago
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