The piecewise function for this should be 
.
We can find the first equation simply. He gets 20 every hour up to 42 hours. Therefore, the function gives us our first equation of y = 20x when x < 42.
The second one, we must know what the base amount he would make before starting to make 28 an hour. The 28 an hour would be 28x, but he would have already made 840 before hand. Which we can determine by multiplying the base of 42 hrs by 20.
42 * 20 = 840.
Move all terms that don't contain y to the right side and solve.
y = - x/3 + 14/3
Hope this helps! :)
Answer: point form (-1,-2)
Equation form x=-1 y=-2
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Normal distribution has a unique characteristic of having equal mean and median values. If mean was higher than median, then the distribution would be positively skewed. Mean lower than median would appear in distributions negatively skewed. Each data set has a median value.
Answer:
70.15 ft²
Step-by-step explanation:
The figure consists of two adjacent equilateral triangles (all angles are 60 degrees and all outer edges are 9 ft).
If we focus on one of these equilateral triangles, we can get the final area by multiplying the area of that one triangle by 2.
The formula for the area of a triangle is (1/2)(base)(height). Remembering to multiply this by 2, we get
area of figure = (base)(height)
√3
= (9 ft)(9 ft)(--------) = (81 ft²)(1.732) = 70.15 ft²
2
