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adell [148]
3 years ago
9

Leo hike 6)7 0f a kilometer.Jericho hike 2/3 kilometer.who covered a longer distance?how much longer?

Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0

Answer:

The correct answer is A. 4/21.

Step-by-step explanation:

Given that Leo hiked 6/7 of a kilometer, while Jericho hiked 2/3 kilometers, to determine who covered a longer distance and how much longer it was, the following calculation must be performed:

Common multiple of 7 and 3 = 21

6/7 = 18/21

2/3 = 14/21

18 -14 = 4

Thus, Leo hiked a longer distance, hiking 4/21 km more than Jericho.

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Let f be the function given by f(x)= (x-1)(x^2-4)/x^2-a. For what positive values of a is f continuous for all real numbers x?
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Answer:

a =1 and a=4.

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Now, for a a positive real we have that x=\sqrt{a} will annulate the denominator, i.e

(\sqrt{a})^2-a = a-a = 0. But, if a = 1 we have:

f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}

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