Mathematics
26.09.2020 07:08
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Which expression shows that the quotient 2/3x-1 ÷ 6/6x-1 is also a rational expression?

Which expression shows that the quotient
2/3x-1 ÷ 6/6x-1
is also a rational expression? Assume x
1/3 and x 1/6
Which expression shows that the quotient2/3x-1 ÷ 6/6x-1is also a rational expression? Assume x1/3 a
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flixtier
flixtier
4,9(14 marks)

Option (2)

Step-by-step explanation:

Given expression is \frac{2}{(3x-1)} ÷ \frac{6}{6x-1}

We further simplify this expression,

\frac{2}{(3x-1)} ÷ \frac{6}{6x-1}

= \frac{2}{(3x-1)}\times \frac{6x-1}{6}

= \frac{6x-1}{3(3x-1)}

= \frac{6x-1}{(9x-3)}

Therefore, \frac{6x-1}{(9x-3)} will be the quotient of the given expression.

x\neq \frac{1}{3} and x\neq \frac{1}{6} for which the given expression is not defined.

Option (2) will be the answer.

shira35
shira35
4,5(47 marks)

i cant see the photo

Step-by-step explanation:

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