Answer:
A
Step-by-step explanation:
The parabola ends at 4, and therefore the range is all real numbers under 4
Answer: (5.5, -4)
Step-by-step explanation:
You can use the midpoint formula to find the midpoint of point A and point B.
![M(\frac{x_{1}+x_{2} }{2}, \frac{y_{1} + y_{2} }{2})](https://tex.z-dn.net/?f=M%28%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%20%7D%7B2%7D%2C%20%5Cfrac%7By_%7B1%7D%20%2B%20y_%7B2%7D%20%7D%7B2%7D%29)
x₁ = 8
x₂ = 3
y₁ = -7
y₂ = -1
![M(\frac{x_{1}+x_{2} }{2}, \frac{y_{1} + y_{2} }{2})](https://tex.z-dn.net/?f=M%28%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%20%7D%7B2%7D%2C%20%5Cfrac%7By_%7B1%7D%20%2B%20y_%7B2%7D%20%7D%7B2%7D%29)
![M(\frac{8+3 }{2}, \frac{-7 +-1}{2} )](https://tex.z-dn.net/?f=M%28%5Cfrac%7B8%2B3%20%7D%7B2%7D%2C%20%20%5Cfrac%7B-7%20%2B-1%7D%7B2%7D%20%29)
![M(\frac{8+3 }{2}, \frac{-7 -1}{2} )](https://tex.z-dn.net/?f=M%28%5Cfrac%7B8%2B3%20%7D%7B2%7D%2C%20%20%5Cfrac%7B-7%20-1%7D%7B2%7D%20%29)
![M(\frac{11 }{2}, \frac{-8}{2} )](https://tex.z-dn.net/?f=M%28%5Cfrac%7B11%20%7D%7B2%7D%2C%20%20%5Cfrac%7B-8%7D%7B2%7D%20%29)
![M(5.5, -4 )](https://tex.z-dn.net/?f=M%285.5%2C%20-4%20%29)
Midpoint = (5.5, -4)
Hope this helps!
Answer:
11 + 5i
Step-by-step explanation:
6 + 5i + 8 + 3i² =
= 6 + 8 + 3(-1) + 5i
= 14 - 3 + 5i
= 11 + 5i
Answer:
The equation is p = (8/3) t + 24
In 2020, we will have about 48 horses.
Step-by-step explanation:
In 3 years the family increased by 32 - 24 = 8.
So the constant of proportionality = 8/3.
The required equation is p = (8/3)tx + 24
where p = the population and t is the number of years after 2011.
So in 2020 we can predict that in 2020 the number of horses
= (8/3) * 9 + 24
= 72/3 + 24
= 24 + 24
= 48.