Answer: z= 36 and 2/3
Step-by-step explanation:
1) 
2) Add 4 to both sides to get 
3) Multiply both sides by 5 to get 
Answer:
8
Step-by-step explanation:
The answer is the option B: A'(3, -2), B'(3, -5), C'(2, -4).
The explanation is shown below:
1. You must apply the following rule of rotation when the figure is rotated 90° counterclockwise around the origin:
→
2. Then, as you can see, you must switch
and
and multiply
by -1.
3. Keeping this on mind, you have that the vertices of the triangle A'B'C' are the following:
A(-2,-3)→A'(3,-2)
B(-5,-3)→B'(3,-5)
C(-4,-2)→C(2,-4)
4. Therefore, you can conclude that the answer is the option B.
We have the equation for company 1: y = 3x + 5. That means it costs $3 to rent a movie with a $5 fee no matter how many movies you rent. It would benefit us to have the equation for company 2, so we need to find it using 2 points on the line. I picked the points (2,14) and (0,12). Find the slope of this by using the slope formula:

which gives us a slope of 1. Now we can use that slope and the slope-intercept form of a line to find the y-intercept, which serves as the fee for renting from company 2. 14=1(2)+b and 14 = 2 + b and b = 12. The equation then for company 2 is y=1x+12. This means it costs $1 to rent movies, but your fee to rent, no matter how many movies you pick, is $12. The "rate of change" in the choices refers to the slope. The slope in company 1's equation is 3 and the slope in company 2's equation is 1. The best description is the first choice that says "There is a higher rate of change at Company 1".