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2 answers:
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Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at is given by:
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
The vertical asymptote at x = 3 means that x = 3 is a root of the denominator, hence:
The horizontal asymptote at y = -1/2 means that:
Which happens if , hence the function is:
More can be learned about asymptotes at brainly.com/question/16948935
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Answer:
(a)
(b) The graph is shown below.
(c) Seiji earned $ 210 and Gavin earned $ 240.
Step-by-step explanation:
Given:
Sum of earnings of Seiji and Gavin = $ 450
Gavin earns $ 30 more that that of Seiji.
(a)
So, as per question, if s and g are the amounts earned by Seiji and Gavin respectively, then;
(b)
The graph is plotted using the x and y intercepts of each line.
For the line, , the x intercept is at
. So, x intercept is (450,0). Similarly, the y intercept is when s=0, which is (0,450). Draw a line passing through these two points. The red line represents
.
We follow the same process to plot the next line. The x intercept is at (-30,0) and y intercept is at (0,30). Draw a line passing through these two points. The blue line represents .
The graph is shown below.
(c)
From the graph, the point of intersection of the two lines gives the earnings of each of the persons.
The value of the point of intersection is the earning of Seiji which is $ 210 and the
value is the earning of Gavin which is $ 240 as shown in the graph.
Therefore, Seiji earned $ 210 and Gavin earned $ 240.
