Given constraints: x is greater than or equal to 0, y greater than or equal to 0, 2x + 2y is greater than or equal to 4, x + y i
s less than or equal to 8 Explain the steps for maximizing the objective function P = 3x + 4y.
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Recall your d = rt, distance = rate * time
now, if say, by the time they meet, Mr Cunningham has travelled "d" miles, that means Mrs Cunningham must also had travelled "d" miles as well.
However, he left 3 hours earlier, so by the time he travelled "d" miles, and took say "t" hours, for her it took 3 hour less, because she started driving 3 hours later, so, she's been on the road 3 hours less than Mr Cunningham, so by the time they meet, Mrs Cunningham has travelled then "t - 3" hours.
now, if say, by the time they meet, Mr Cunningham has travelled "d" miles, that means Mrs Cunningham must also had travelled "d" miles as well.
However, he left 3 hours earlier, so by the time he travelled "d" miles, and took say "t" hours, for her it took 3 hour less, because she started driving 3 hours later, so, she's been on the road 3 hours less than Mr Cunningham, so by the time they meet, Mrs Cunningham has travelled then "t - 3" hours.
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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