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2 years ago

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What value of x is in the solution set of –5x – 15 > 10 + 20x?

1 answer:

Sunny_sXe [5.5K]2 years ago

6 0

-5x - 15 > 10 + 20x...subtract 10 from both sides, add 5x to both sides
-10 - 15 > 20x + 5x ...simplify
-25 > 25x...divide both sides by 25
-25/25 > x ....reduce
-1 > x or x < -1 <===

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2 years ago

What is the following quotient? 1 divided by 1+ square root 3

ollegr [7]

Answer:

4th option

Step-by-step explanation:

The given expression is:

$\frac{1}{1+\sqrt{3}}$

In order to simplify this expression we have to multiply and divide it with the conjugate of the denominator i.e multiply and divide the entire expression with $1-\sqrt{3}$ , as shown below:

$\frac{1}{1+\sqrt{3}}\\=\frac{1}{1+\sqrt{3}} \times \frac{1-\sqrt{3}}{1-\sqrt{3}}\\=\frac{1-\sqrt{3}}{(1)^{2}-(\sqrt{3})^{2}}\\\\ =\frac{1-\sqrt{3}}{1-3}\\\\ =\frac{1-\sqrt{3}}{-2}\\\\ =\frac{-1(1-\sqrt{3})}{2}\\\\ =\frac{-1+\sqrt{3}}{2}$

Thus, 4th option gives the correct answer.

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3 years ago

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What value for x will make the equation true?<br> -3 (7x - 5) = 87 + 3x

Gennadij [26K]

Answer:

x=-3

Step-by-step explanation:

follow the PEMDAS method then see if the 2 equation equal each other after plugging in the x.

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2 years ago

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If one side of a cube is 15m in length,find its volume

sergeinik [125]

Answer:

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Step-by-step explanation:

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Hope it helped,

BiologiaMagister

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3 years ago

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The value of 3centimeters to kilometers is 0,00003 km

<h3>Converting centimeters to meters</h3>

In order to convert centimeters to kilometers, we will use the conversion factor below.

100cm = 1m

1000m = 1km

Given 3cm

3cm = 3/100 m

3cm = 0.03m

Convert to km

Since 1000m = 1km

0.03m = 0.03/1000

0.03m = 0.00003km

Therefore the value of 3centimeters to kilometers is 0,00003 km

Learn more on cm to km here: brainly.com/question/1549097

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1 year ago