The function is increasing when the slope is greater than zero and decreasing when the slope is less than zero. Slope is (y2-y1)/(x2-x1) or the change in y divided by the change in x.
In this case the function is decreasing when x=[-8,-5) and when x=[4,8)
So in interval notation: x=[-8,-5)U[4,8)
Answer:
The slope of f(x) is -2/2 and the slope of g(x) is 0. When the line it's horizontal and not an increasing or decreasing line, the slope it's always 0. The greatest slope is of the f(x) function because the slope is not equal to 0.
Answer:

Step-by-step explanation:
Base of the isosceles triangle = 4
Perpendicular of the triangle = 3
In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.
In that right angled triangles,
Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )
Perpendicular = 3
Hypotenuse = x
So , according to Pythagorean Theorem ,

Using all the values above into the formula gives :-

The probability will be :
C(12,2) / C(40,2) = 11/130, which is around 8.46%
The best answer here would be choice B