There are 6 boys in a class of 14 students. (1)What is the ratio of girls to boys? (2)What is the ratio of all students in the c
2 answers:
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Answer:
- Option A or first option
Step-by-step explanation:
The function is
Correct description is the first option with the exception of point (2,0), it should read (2, 0.5)
- On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (2, 0) and then goes up through (1, 2) with an arrow instead of an endpoint. The second line has a closed circle at (2, 6) and goes up through (3, 7) with an arrow instead of an endpoint.
The graph is attached
We will investigate how to determine Hamilton paths and circuits
Hamilton path: A path that connect each vertex/point once without repetition of a point/vertex. However, the starting and ending point/vertex can be different.
Hamilton circuit: A path that connect each vertex/point once without repetition of a point/vertex. However, the starting and ending point/vertex must be the same!
As the starting point we can choose any of the points. We will choose point ( F ) and trace a path as follows:
The above path covers all the vertices/points with the starting and ending point/vertex to be ( F ). Such a path is called a Hamilton circuit per definition.
We will choose a different point now. Lets choose ( E ) as our starting point and trace the path as follows:
The above path covers all the vertices/points with the starting and ending point/vertex are different with be ( E ) and ( C ), respectively. Such a path is called a Hamilton path per definition.
One more thing to note is that all Hamilton circuits can be converted into a Hamilton path like follows:
The above path is a hamilton path that can be formed from the Hamilton circuit example.
But its not necessary for all Hamilton paths to form a Hamilton circuit! Unfortunately, this is not the case in the network given. Every point is in a closed loop i.e there is no loose end/vertex that is not connected by any other vertex.