If you call x the total value of the sales, the sale over 12,000 will be: g(x) = 12,000 - x.
And the commission is 4.1% of that = 0.041 * (12,000 - x) = 0.041 * g(x)
So, if f(x) = 0.041x, to calculate the commission you first have to calculate g(x) = 12,000 - x, and the f(g(x))=0.041[12,000 - x].
Which leads you to the solution for the commission as [f o g] (x) = f (g(x)) = 0.041 (12,000 - x).
Answer: [ f o g] (x)
X-intercept has coordinates (x,0)
Y-intercept has coordinates (0,y)
So, the statement "<span> The ordered pair of x-intercept has a zero for the x-value" is false.
</span><span> The ordered pair of x-intercept has a zero for the y-value.</span>
Answer: A diameter goes straight across the circle and passes through the center point (point M). A radius stops at the center point, making the line go halfway across the circle (basically half the diameter). A chord goes across the circle, but does not go through the center point. Therefore, the answer is C, because it does not go through the center point.
Answer:
BD = 4.99 units
Step-by-step explanation:
Consider the triangle ABD only.
The angle formed is 31 degrees which occurs between two sides that are AD and BC.
We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.
Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD
Using formula for tanθ
tanθ = Perpendicular/Base
tan31 = 3/BD
0.601 = 3/BD
BD = 3/0.601
BD = 4.99 units
Answer: Last option.
Step-by-step explanation:
Observe the diagram.
The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then:

You know the lenght of the side WZ. This is:

Notice that:

Now, you must find the lenghts of the sides WX and YZ (
)
Observe that WZ goes from 2 to -2, therefore its lenght is:

Therefore, substituting values, you get that the perimeter of the paralellogram is:
