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Alexus [3.1K]
2 years ago
15

To determine whether a cause-effect relationship exists between two variables, a researcher must use.

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
7 0

To determine whether a cause-effect relationship exists between two variables, a researcher must use  an experimental approach.

<h3>What is cause-effect relationship?</h3>

A cause-and-effect relationship  is one which satisfies some conditions like:

  • two events occur at the same time and in the same place
  • one event immediately precedes the other

Therefore, To determine whether a cause-effect relationship exists between two variables, a researcher must use  an experimental approach.

Learn more about cause-effect relationship on:

brainly.com/question/25680753

#SPJ4

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Start with the answer format we want, and work your way toward forming a single fraction like so

a + \frac{b}{x+2}\\\\a*1+\frac{b}{x+2}\\\\a*\frac{x+2}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)}{x+2}+\frac{b}{x+2}\\\\\frac{a(x+2)+b}{x+2}\\\\\frac{ax+2a+b}{x+2}\\\\\frac{ax+(2a+b)}{x+2}\\\\

Compare that last expression to (2x+1)/(x+2). Notice how the ax and 2x match up, so a = 2 must be the case.

Then we have 2a+b as the remaining portion in the numerator. Plugging in a = 2 leads to 2a+b = 2*2+b = 4+b. Set this equal to the +1 found in (2x+1)/(x+2) to have the terms match.

So, 4+b = 1 leads to b = -3

Therefore, a = 2 and b = -3

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An alternative route:

\frac{2x+1}{x+2}\\\\\frac{2x+1+0}{x+2}\\\\\frac{2x+1+4-4}{x+2}\\\\\frac{(2x+4)+1-4}{x+2}\\\\\frac{2(x+2)-3}{x+2}\\\\\frac{2(x+2)}{x+2}+\frac{-3}{x+2}\\\\2-\frac{3}{x+2}\\\\

I added and subtracted 4 in the third step so that I could form 2x+4, which then factors to 2(x+2). That way I could cancel out a pair of (x+2) terms toward the very end.

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Other alternative methods involve synthetic division or polynomial long division. They are slightly separate but related concepts.

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