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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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Find the value of the combination.<br><br> 5C5<br><br> A:1<br> B:5<br> C:0
Olenka [21]

Answer:

A:1

Step by step explanations:

C(n,r)=C(5,5)

n=5

r=5

=n! / (r!(n-r)!)

=5! / (5!(5-5)!)

=1

6 0
3 years ago
What are the factors of the square root of 329
Andru [333]

Answer: x=-\dfrac{3}{2}, 7

Step-by-step explanation:

2x^2-10x-26=x-5

2x^2-10x-26-x+5=0  Move all terms to one side

2x^2-11x-21=0 Simplify 2{x}^{2}-10x-26-x+5

2x^2+3x-14x-21=0 Split the second term

x(2x+3)-7(2x+3)=0  Factor out common terms in the first two terms, then in the last two terms.

(2x+3)(x-7)=0 Factor out the common term 2x+3

x=-\dfrac{3}{2}, 7

5 0
2 years ago
Read 2 more answers
A wall has an area of 40 square feet. Its height is 8 feet. Which equation could you use to find its width?
lord [1]

Answer:

40/8=5

Other side length = 5

Step-by-step explanation:

7 0
2 years ago
WILL MARK BRAINLIST!!!!!
Mrrafil [7]

The correct answer is B. Two out of every five people in the shopping center are in the clothing store.

Step-by-step explanation:

To establish this answer we have to know the total number of people that were in the Shopping Center. So, we have to add people from every store.

48+96+20+64+12=240

The result of this operation is 240 people.

Later we have to divide the total number in 5 and multiply by 2.

So, the operation is

240/5 = 48

48x2=96

According to the above, the correct answer is B. Two out of every five people in the shopping center are in the clothing store.

8 0
3 years ago
Eric drew a scale drawing of a country park. The scale he used was 1 inch = 2.5 yards. The picnic area is 80 yards wide in real
Alchen [17]
If 1 inch = 2.5 yards then
x inch = 80 yards
cross multiplying we have:
80 × 1 = x × 2.5
x = 80÷ 2.5 = 32 inches
therefore the picnic area is 32 inches in the drawing.
5 0
3 years ago
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