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Tju [1.3M]
3 years ago
10

The cost of removing x percent of pollutants is expressed by the function , where C is in thousands of dollars. Which conclusion

can be derived from this statement?
a)The cost of removing 40 percent of the pollutants is $120,000.
b)The cost of removing 80 percent of the pollutants is $960,000.
c)The vertical asymptote lies at x = 0.
d)The vertical asymptote lies at x = 240.
Mathematics
1 answer:
Keith_Richards [23]3 years ago
8 0
The vertical asymptote lies at x=240
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Which of these systems of linear equations has no solution? 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus y = 18. 4 x + 2 y = 38. 4
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Answer:

The correct answer is:

4 x -3 y = 16 and

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Step-by-step explanation:

First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.

Let the equations be:

a_1x+b_1y+c_1=0 and

a_2x+b_2y+c_2=0

1. There exists exactly one solution:

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2. There exists infinitely many solutions i.e. lines are identical.

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3. There exists No solutions i.e. lines are parallel and will never intersect.

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Option b)

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Option c)

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The ratio:

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Hence, exactly one solution.

Option d)

4 x - 3 y = 16\\8 x - 6 y = 34.

The ratio:

\dfrac{4}{8}= \dfrac{-3}{-6}\neq\dfrac{16}{34}\\\Rightarrow \dfrac{1}{2}= \dfrac{1}{2}\neq\dfrac{8}{17}

Hence, There is no solution.

The correct answer is:

4 x -3 y = 16 and

8 x -6 y = 34 are the equations that have no solution.

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