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Mice21 [21]
3 years ago
13

As mercury revolves around the sun, it travels at a speed of approximately 30 miles per second. Convert this speed to kilometers

per second. At this speed how many kilometers will Mercury travel in 2 seconds ? In your computations, assume that 1 mile is equal to 1.6 kilometers.
Mathematics
2 answers:
Elza [17]3 years ago
6 0
30*1.6 = 48 km per second

48 * 2 = 96 kilometres
sweet [91]3 years ago
3 0
The answer is 96.56 kilometers in 2 seconds

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What is the horizontal asymptote of the rational function f(x) = 3x / (2x - 1)?
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Answer:

Step-by-step explain

Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :

A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)

If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.

For the given function, there is no horizontal asymptote.

We can find the slant asymptote by using long division:

(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))

The slant asymptote is y=3/2x+3/4

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