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2 years ago

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Mathematics

1 answer:

Alexxx [7]2 years ago

5 0

$\frac{x}{2} + \frac{7}{9x}$
$= \frac{x*9x}{2*9x} + \frac{7*2}{9x*2}$
$= \frac{9x^2}{18x} + \frac{14}{18x}$
$= \frac{9x^2+14}{18x}$

Therefore the answer is B.

Hope this helps !

Photon

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<h3>to understand this</h3><h3>you need to know about:</h3>

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2 years ago

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

avanturin [10]

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

<h3>What is inequality?</h3>

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

⇒5(2 - x) = 10 - 5x [∵(+)(-) = (-)]

Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

- 6x < -5 - 5x

By adding 5x to both sides, we get - x < - 5

The coefficient of x is -1. So, divide both sides by -1

Then we get x > 5

Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

brainly.com/question/20383699.

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