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2 years ago

Please help me solve for x in Inx + In(x +25)=0

Mathematics

1 answer:

trapecia [35]2 years ago

7 0

Step-by-step explanation:

ln(x) + ln(x + 25) = 0

ln(x(x + 25)) = 0

ln(x² + 25x) = 0

ln(x² + 25x) = ln(1) , x ≥ 0

x² + 25x = 1

x² + 25x + 625/4 = 1 + 625/4

(x + 25/2)² = 629/4

x + 25/2 = ±√(629/4)

x = ( -25 ±√629)/2

x = (-25 - √629)/2 atau ( -25 + √629)/2

(-25 - √629)/2 ≥ 0 NOT PROVED

(-25 + √629)/2 ≥ 0 PROVED

Solution → x = (-25 + √629)/2

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The same number of people live on the islands Beautiful Sunrise and Gorgeous

aev [14]

Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

$P = \frac{a}{b} \times 100\%$

In this problem, we have that:

We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.

There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.

The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

$P = \frac{a}{x} \times 100\%$

Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:

$\frac{x + a}{x - a} = 7$

We can find a <u>as a function of x</u> to find the percentage:

$\frac{x + a}{x - a} = 7$

$7(x - a) = x + a$

$7x - 7a = x + a$

$8a = 6x$

$a = \frac{3x}{4}$

Then, the percentage is:

$P = \frac{a}{x} \times 100\%$

$P = \frac{\frac{3x}{4}}{x} \times 100\%$

$P = \frac{3}{4} \times 100\%$

$P = 75\%$

75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.

You can learn more about the percentage concept at brainly.com/question/10491646

7 0

2 years ago

Write the equation of a line perpendicular to y= 2x+ 2 that passes through the point (-1, -7).

Nataly [62]

Answer:

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3 years ago

Mason spent 15.85for 3 notebooks and 2 boxes of markers. the boxes of markers cost 3.95 each, and sales tax was 1.23. Mason also

Likurg_2 [28]

Multiply the amount of the notebooks which is 3, by the cost of the notebook, which is $15.85. that is $47.55.

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6 0

3 years ago

Read 2 more answers

The average distance from Earth to the sun is about 9.3×10^7 miles. The average distance from Mars to the sun is about 1.4×10^8

diamong [38]

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Finally, to find the official number of miles, you simply work the equation 140,000,000 - 9,300,000 .. giving you 130,700,000 miles.

If your teacher wants you to put it back into exponential form, then you first make the number into a decimal that is greater than one and less than ten.

1.30700000

Then, what you want to do is count all of the zeros as a single exponent, giving you 5, but we're not done yet. To get the correct answer, you have to also count the numbers until you reach the decimal. Remember to take out the zeros, because they're not really necessary anymore!

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3 years ago

Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 4

Archy [21]

Answer:

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

Step-by-step explanation:

Sam's calculation:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 × 0.621 = 77.38 kilometers.

Bruno's calculation:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers.

1 kilometer = 0.621 miles.

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

We will divide a larger value by a smaller value to get the smaller units

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3 years ago