The correct statements regarding the behavior of a quadratic function are:
- The function in increasing for all real values of x where -6 < x < -2.
- The function is decreasing for all real values of x where x < -6 or x > -2.
<h3>When is a quadratic function increasing or decreasing?</h3>
A quadratic function with roots 
and 
is defined by:
In which a is the leading coefficient.
The coefficient influences the behavior, as follows:
- If a < 0, the function is increasing between the roots, and decreasing otherwise.
- If a > 0, the function is decreasing between the roots, and increasing otherwise.
In this problem, the function is:
f(x) = -(x + 6)(x + 2).
The roots are x = -6 and x = -2, and the leading coefficient is of a = -1 < 0, hence:
- The function in increasing for all real values of x where -6 < x < -2.
- The function is decreasing for all real values of x where x < -6 or x > -2.
More can be learned about quadratic functions at brainly.com/question/24737967
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1) JPR, JRP, PJR, PRJ, RJP, RPJ
2) To start with there are 4 green marbles and a total of 6 marbles.
First drawing: p(green) = 4/6 = 2/3
He replaces the first marble, so for the second drawing he has again 4 green marbles out of a total of 6 marbles.
p(green) = 4/6 = 2/3
The combined probability is the product of the 2 probabilities.
p(green followed by green) = p(green) * p(green) = 2/3 * 2/3 = 4/9
3)
Total number of combinations of 3 different shirts and 2 pairs of pants is 3 * 2 - 6. You are interested in a single combination out of a possible 6.
p(white shirt & tan pants) = 1/6
We have been given a diagram where two small circles lie on the diameter of a larger circle. The diameter of the large circle is 24 cm. We are asked to find the approximate area of the shaded region.
Since smaller circles are on diameter of larger circle, so the diameter of both smaller triangles will be half of 24 cm that is 
cm.
We know that radius is half the diameter, so radius of large circle will be 12 cm and radii of smaller triangles will be half of 12 that is 
cm.
The area of shaded part will be area of larger circle minus sum of areas of smaller circles.
Area of circle formula: 
Therefore, the area of the shaded region is 226.08 square cm and option A is the correct choice.
Answer 1) x = 7 so in 7 months
2) 43,425 + 75x = 45,000 - 150x
Step-by-step explanation:
basically town A is gaining 75 people monthly and town B is decreasing 150 monthly so 43,425 + 75x = 45,000 - 150x and then you find out in 7 months both town will have equal population hope i helped
To answer this problem, we can find to determine angle A first by taking the arc sin of 0.83. Angle A is equal to 33.9. Hence angle B should be 90-33.9 equal to 56.10. sin of 33.9 added to the sin of 56.10 is equal to 1.38. or we can just directly add the cos values since the sin is just the same as the complementary of each
