There are 24 students in a math course at your school. How many tables must be put together to seat a group of six students? How
2 answers:
Answer:
4 tables
4 six person clusters
Step-by-step explanation:
We are given that there are 24 students in a math course at your school.
We have to find that how many tables must be put together to seat a group of six students and how many six person clusters would be needed for the entire class.
Total number of students =24
Number of students in one group =6
Number of tables=
Hence, 4 tables must be put together to seat a group of six students for 24 students .
Number of students in one group =6
Therefore, number of clusters of six person=
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Values of the composite function:
Step-by-step explanation:
Given two functions f(x) and g(x), their composite function is given by
Which means using the output value of g(x) as input for f(x).
Let's start by computing
First, we compute the value of f(-1), which is (from the graph)
f(-1) = 1
Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:
Now we evaluate
First, we compute the value of f(0), which is (from the graph)
f(0) = 0
Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:
Now we evaluate
First, we compute the value of g(-1), which is (from the graph)
g(-1) = 5
Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:
Finally we evaluate
First, we compute the value of g(4), which is (from the graph)
g(4) = 4
Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:
Learn more about composite functions:
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