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1 answer:
Answer:
Domain: {-4, -2, 1, 2, 4}
Range: {-4, -2, -1, 1, 4}
The relation is a function.
Step-by-step explanation:
A <u>relation</u> is any set of ordered pairs, which can be thought of as (input, output).
A function is a <em>relation</em> in which no two ordered pairs have the same first component and different second components.
Remember that a function can only take on <u>one output for each input</u>. We cannot plug in a value and get out two values.
The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places <u><em>at exactly one point</em></u>, then the relation is a function.
I did the Vertical Line Test on your given graph. As you can see from the attached screenshot, each vertical line crosses the graph only once. Therefore, the given relation is a function.
The <u><em>domain</em></u> of the given relation is the set of x-values, while the <em><u>range</u></em> is the set of y-values. You'll have to list the ordered pairs in order to determine the domain and range of the given relation.
Relation: {(-4, -1), (-2, 1), (1, -2), (2, 4), (4, -4)}.
Domain: {-4, -2, 1, 2, 4}
Range: {-4, -2, -1, 1, 4}
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Answer: 12 hours
Step-by-step explanation:
Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.
When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.
Let 't' be the time taken by Francisco to paint one room on his own.
Then , we have
Rate of work of Sam +Rate of work of Jenna + Rate of work of Francisco =Rate of work they all do together
i.e.
i.e.
i.e.
i.e.
i.e.
i.e.
i.e. t= 12
Hence, Francisco would take 12 hours to paint one room on his own.
For this case we must find 35% of 280.
Kerrie gets 10% and then 25%. So:
10% of 280:
280 ------------> 100%
x -----------------> 10%
Where "x" represents the amount given by 10% of 280.
Thus, 10% of 280 is 28.
Now, we find 25% of 280:
280 ------------> 100%
x -----------------> 25%
Where "x" represents the amount given by 25% of 280.
Thus, 25% of 280 is 70.
So we have that 35% of 280 is given by:
So, Kerrie's solution is correct.
Answer:
Option A