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AlexFokin [52]
3 years ago
14

Which fractions are equivalent to 6/9? Select all that are equivalent. a) 2/3 b)12/15 c)8/12 d) 4/7

Mathematics
2 answers:
Zinaida [17]3 years ago
7 0

Answer:

Step-by-step explanation:

6/9....reduces to 2/3

12/15 reduces to 4/5

8/12 reduces to 2/3

4/7

equivalent to 6/9 is : 2/3 and 8/12

Neporo4naja [7]3 years ago
3 0

Answer:

2/3

Step-by-step explanation:

Divide through by 3

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Find the domain and range of<br><br> f(x)= (2x+6) / ((x^2)-x-12)
creativ13 [48]

Answer:

Step-by-step explanation:

If you want to determine the domain and range of this analytically, you first need to factor the numerator and denominator to see if there is a common factor that can be reduced away.  If there is, this affects the domain.  The domain are the values in the denominator that the function covers as far as the x-values go.  If we factor both the numerator and denominator, we get this:

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Since there is a common factor in the numerator and the denominator, (x + 3), we can reduce those away.  That type of discontinuity is called a removeable discontinuity and creates a hole in the graph at that value of x.  The other factor, (x - 4), does not cancel out.  This is called a vertical asymptote and affects the domain of the function.  Since the denominator of a rational function (or any fraction, for that matter!) can't EVER equal 0, we see that the denominator of this function goes to 0 where x = 4.  That means that the function has to split at that x-value.  It comes in from the left, from negative infinity and goes down to negative infinity at x = 4.  Then the graph picks up again to the right of x = 4 and comes from positive infinity and goes to positive infinity.  The domain is:

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If you're having trouble following the wording, refer to the graph of the function on your calculator and it should become apparent.

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