1 answer:
Answer:
<u>Given</u>
- Equation 5x - y = 12
and
- Inequality 5x - y > 12
<em>See the graphs attached</em>
To draw the graphs follow the rules we described in the previous questions.
- 1. Identify x-intercept and y-intercept and connect them to have the line.
- 2. Shade the region above or below the line for the inequality.
We see the only difference the expressions have is the equation or inequality symbols.
- Equation symbol means the graph of the equation is a line.
- Inequality symbol means the graph of this is a region above the same line, in our case the line is not a part of the covered region because it is "<".
We can state that the inequality excludes the line and includes only the region above the same line.
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Answer:
Step-by-step explanation:
Given : The total number of programmers in the company = 30
The company wants to select a group of 6 programmers to work on a particular project.
Since the order of selecting them does not matters , therefore we use combinations.
The number of combinations of r things taken from n things is given by :-
here, n= 30 and r= 6
So the number of different ways to form they could select a group of 6 would be
i.e. Total ways =593775
In terms of factorials , the number of total ways to form they could select a group of 6 is .