How do you write the mixed expression #(x+7)/(2x)-5x# as a rational expression?

Answer 1

#(-10x^2+x+7)/(2x)#

Multiply by 1 and you do not change the value. However, 1 comes in many forms

Note that #5x" is also " (5x)/1#
#color(green)([(x+7)/(2x)]-[(5x)/1color(red)(xx1)])#
#color(green)([(x+7)/(2x)]-[(5x)/1color(red)(xx(2x)/(2x))])#
#color(green)([(x+7)/(2x)]-[(5xcolor(red)(xx 2x))/color(red)(2x)])#
#color(green)([(x+7)/(2x)]-[(10x^2)/(2x)]#
#color(green)( (-10x^2+x+7)/(2x) )#
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Answer 2

To write the mixed expression (x+7)/(2x)-5x as a rational expression, we need to find a common denominator for the two terms. The common denominator is 2x.

To convert (x+7)/(2x) into a rational expression with the common denominator, we multiply the numerator and denominator by 2 to get (2x+14)/(4x).

Now, we can subtract 5x from (2x+14)/(4x) by multiplying 5x by the common denominator 4x and subtracting it from the numerator. This gives us (2x+14-20x)/(4x), which simplifies to (-18x+14)/(4x).

Therefore, the mixed expression (x+7)/(2x)-5x can be written as the rational expression (-18x+14)/(4x).

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Answer 3

To write the mixed expression ((x+7)/(2x)-5x) as a rational expression, we first need to combine the terms in the numerator and simplify the expression. The common denominator for the two terms in the numerator is (2x). Thus, we can rewrite the expression as ((x+7-10x)/2x). Simplifying the numerator, we get ((-9x+7)/2x). Therefore, the rational expression is ((-9x+7)/(2x)).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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