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NeTakaya
3 years ago
11

A piece of bad news about your hotel goes viral. If each person, spreads the news to 5 people within 1 minute, how long will it

take for the news to reach 100 million people? Note: The log of y base x equals the power to which x must be raised to get y.
a) 100,000,000 / 5 = 20,000,000 minutes
b) 5th root of 100,000,000 = 40 minutes
c) log base 5 of 100,000,000 = 11 minutes
Mathematics
2 answers:
lana [24]3 years ago
8 0

Best answer is C. hope it work

Lady_Fox [76]3 years ago
5 0

A 20,000,000


Hope my answer helped


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The value of x in the equation \frac{4x}{x - 1} - \frac{5x}{x -2} = \frac{2}{x^2 - 3x + 2} is x = -1 or x = -2

<h3>How to solve the equation?</h3>

The equation is given as:

\frac{4x}{x - 1} - \frac{5x}{x -2} = \frac{2}{x^2 - 3x + 2}

Start by taking the LCM

\frac{4x(x - 2) - 5x(x - 1)}{(x - 1)(x -2)} = \frac{2}{x^2 - 3x + 2}

Expand the denominator

\frac{4x(x - 2) - 5x(x - 1)}{x^2 -3x +2} = \frac{2}{x^2 - 3x + 2}

Cancel out the common factor

4x(x - 2) - 5x(x - 1)= 2

Expand

4x^2 - 8x - 5x^2 + 5x = 2

Evaluate the like terms

-x^2 - 3x = 2

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x^2 + 3x + 2 = 0\\

Expand

x^2 + 2x + x + 2 = 0

Factorize

x(x + 2) + 1(x + 2) = 0

Factor out x + 2

(x + 1)(x + 2) = 0

Solve for x

x = -1 or x = -2

Hence, the value of x in the equation \frac{4x}{x - 1} - \frac{5x}{x -2} = \frac{2}{x^2 - 3x + 2} is x = -1 or x = -2

Read more about rational equations at:

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