Step-by-step explanation:
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Given:
The equation is:
![y=-x+4](https://tex.z-dn.net/?f=y%3D-x%2B4)
To find:
The graph of the line that contains ordered pairs that are solutions of the given equation.
Solution:
We need to find the graph of the given equation.
We have,
![y=-x+4](https://tex.z-dn.net/?f=y%3D-x%2B4)
At
, we get
![y=-0+4](https://tex.z-dn.net/?f=y%3D-0%2B4)
![y=4](https://tex.z-dn.net/?f=y%3D4)
So, the x-intercept of the given equation is at point (0,4).
At
, we get
![0=-x+4](https://tex.z-dn.net/?f=0%3D-x%2B4)
![x=4](https://tex.z-dn.net/?f=x%3D4)
So, the y-intercept of the given equation is at point (4,0).
From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).
Therefore, the correct option is C.
The answer is 5/6, hope this helps
Answer:
![13](https://tex.z-dn.net/?f=13)
Step-by-step explanation:
As the mean is 20.2 and the standard deviation is 2.4
The range within the first standard deviation is
(17.8,22.6)
This means that we can safely use the range of (18,22) as we cannot confirm whether the other values fall within the range.
Within this range there are
![2+3+4+3+1=13](https://tex.z-dn.net/?f=2%2B3%2B4%2B3%2B1%3D13)
Answer:
year 2139
Step-by-step explanation:
The population will double when the factor e^(.005t) is 2.
e^(.005t) = 2
.005t = ln(2)
t = ln(2)/0.005 = 138.6
The population will be double its size at t=0 when t=138.6. That is the population will be about 5.2 million in the year 2139.