Answer:
D.
Step-by-step explanation:
Find the average rate of change of each given function over the interval [-2, 2]]:
✔️ Average rate of change of m(x) over [-2, 2]:
Average rate of change = 
Where,
a = -2, m(a) = -12
b = 2, m(b) = 4
Plug in the values into the equation
Average rate of change = 
= 
Average rate of change = 4
✔️ Average rate of change of n(x) over [-2, 2]:
Average rate of change = 
Where,
a = -2, n(a) = -6
b = 2, n(b) = 6
Plug in the values into the equation
Average rate of change = 
= 
Average rate of change = 3
✔️ Average rate of change of q(x) over [-2, 2]:
Average rate of change = 
Where,
a = -2, q(a) = -4
b = 2, q(b) = -12
Plug in the values into the equation
Average rate of change = 
= 
Average rate of change = -2
✔️ Average rate of change of p(x) over [-2, 2]:
Average rate of change = 
Where,
a = -2, p(a) = 12
b = 2, p(b) = -4
Plug in the values into the equation
Average rate of change = 
= 
Average rate of change = -4
The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]
Answer:
B
Step-by-step explanation:
Symmetric means one side looks the same as another side such as a square. It isn't symmetric because the other side doesn't have the same side as the other so it isn't bell shaped and isn't symmetric
The answer is C because A and X are in the same place.
Answer:
[xy + √(1−x²) √(1−y²)] / [y √(1−x²) − x √(1−y²)]
Step-by-step explanation:
tan(sin⁻¹x + cos⁻¹y)
Use angle sum formula:
[tan(sin⁻¹x) + tan(cos⁻¹y)] / [1 − tan(sin⁻¹x) tan(cos⁻¹y)]
To evaluate these expressions, I suggest drawing right triangles.
For example, let's draw a triangle where x is the side opposite of angle θ, and the hypotenuse is 1. Therefore:
sin θ = x/1
θ = sin⁻¹x
Using Pythagorean theorem, the adjacent side is √(1−x²). Therefore:
tan θ = x / √(1−x²)
tan(sin⁻¹x) = x / √(1−x²)
Draw a new triangle. This time we'll make y the adjacent side to angle θ.
cos θ = y/1
θ = cos⁻¹y
Using Pythagorean theorem, the opposite side is √(1−y²). Therefore:
tan θ = √(1−y²) / y
tan(cos⁻¹y) = √(1−y²) / y
Substituting:
[x / √(1−x²) + √(1−y²) / y] / [1 − x / √(1−x²) × √(1−y²) / y]
Multiply top and bottom by √(1−x²).
[x + √(1−x²) √(1−y²) / y] / [√(1−x²) − x × √(1−y²) / y]
Multiply top and bottom by y.
[xy + √(1−x²) √(1−y²)] / [y √(1−x²) − x √(1−y²)]
Answer:
The correct option is 1
Step-by-step explanation:
Snowball sampling is a typr of sampling technique which is used in investigating hard to reach groups. Existing subjects are asked to nominate further suubjects known to them, thereby making the sample increase like a rolling snowball
