Answer:
It is a function.
Step-by-step explanation:
You can test if a graph is a function if you draw a vertical line anywhere on the graph and you see it hits two points.
This is the table for the graph.
![\left[\begin{array}{ccc}x&y\\-3&0\\0&1\\3&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26y%5C%5C-3%260%5C%5C0%261%5C%5C3%262%5Cend%7Barray%7D%5Cright%5D)
Remember these rules:
- Each x value, or input, has its unique y value, or output
- If you draw a vertical line anywhere on the graph, it should only go through one point
We can check these two rules for this graph:
- Does each x value have its own, unique y value? Yes
- If you draw a vertical line anywhere on the graph, does it only go through one point? Yes, there are no overlaps
Keep in mind that two different x-values can have the same y value.
Figure 1:
It has two x values with the same y-values.
Figure 2 and 3:
The vertical line goes through two points. So the same x-value has two different y-values.
-Chetan K
Answer:
The guard should be positioned at the safe
Step-by-step explanation:
The night watchmen should be positioned to guard whichever place gives the highest expected value to the thief.
The expected value of robbing the safe is:
The expected value of robbing the cash register is:
Therefore, the guard should be positioned at the safe since it yields a higher expected value to the thief in case he tries to rob it.
Answer:
27 degrees
Step-by-step explanation:
First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.
We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees
Answer:
XZ
Step-by-step explanation:
X and Z are points so that makes 2 endpoints, and a line segment
