Answer:
The correct answer is A.
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Step-by-step explanation:
Method 1
You just have to plot each point on the graph.
The one that falls within the solution region is the correct choice.
From the graph,
falls within the solution region.
See graph
Method 2
If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.
The first inequality is
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If we substitute
, we get;
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
This statement is true.
The second inequality is
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If we substitute
, we get;
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This gives,
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This statement is also true.
Answer:
The population of 75 hours from now would be 40,000.
Step-by-step explanation:
The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.
2/3 is the simplified form of 18/27
Using a linear function, it is found that the rate of change in this problem situation is of -2 contestants per week.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the situation described, the number of participants after n weeks is given by:
N(n) = 20 - 2n.
The slope is of -2, hence the rate of change in this problem situation is of -2 contestants per week.
More can be learned about linear functions at brainly.com/question/24808124
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