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Radda [10]
3 years ago
10

Solve the following surd given below (1-√5)÷(1+√5)​

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0

\dfrac{1-\sqrt 5}{1+\sqrt 5}\\\\\\=\dfrac{\left( 1- \sqrt 5\right)\left( 1- \sqrt 5\right)}{\left( 1+ \sqrt 5\right)\left( 1- \sqrt 5\right)}\\\\\\=\dfrac{\left( 1-\sqrt 5)^2}{1^2 - \left(\sqrt 5 \right)^2}\\\\\\=\dfrac{1+\left(\sqrt 5 \right)^2 -2 \sqrt 5\cdot 1}{1-5}\\\\\\=\dfrac{1+5-2\sqrt 5}{-4}\\\\\\=-\dfrac{6-2\sqrt 5}{4}\\\\\\=-\dfrac{2\left(3-\sqrt 5 \right)}{4}\\\\\\=-\dfrac{3-\sqrt 5}{ 2}\\\\\\=\dfrac{\sqrt 5 -3}{2}

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Julia surveyed twenty households on her street to determine the average number of children living in each household. the tables
Lerok [7]

The difference between the mean of the sample and the mean of the population is A. 0.55

<h3>Calculations and Parameters:</h3>

Given the population data is:

0 3 3 1 3 2 2 2 5 4 3 3 3 0 1 2 0 2 3 3

The sample data is:

5 3 0 2 4

The mean of the population data is:
45/20= 2.25

The mean of the sample data is:

14/5= 2.8

Therefore, the difference between the mean of the sample and the population is:

2.8-2.25= 0.55

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brainly.com/question/20118982

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4 0
2 years ago
Given the equation y = 3x − 4, what is the value of x when y = 5?
zalisa [80]

Alright so lets break this down!

What we are looking at is:

y = 3x - 4

the question is

<em>what is the value of x when y = 5?</em>

This means all we have to do is plug in 5 for y and solve for x

y = 5

x = ?

therefore,

5 = 3x - 4

Now some algebra,

5 + 4 = 3x

9 = 3x

9/3 = x

<em>3 = x</em>

Now our concluding statement:

The value of x is 3 when y is equal to 5

Sometimes all you have to do is turn words into numbers and numbers into words!

Good luck! I hope this was helpful.

8 0
3 years ago
Without using log, Solve for x.<br><br> <img src="https://tex.z-dn.net/?f=27%5E%7B1-x%7D%20%3D%5Cfrac%7B1%7D%7B9%5E%7B2x%7D%20%7
Nezavi [6.7K]

ANSWER

x =  - 3

EXPLANATION

The given equation is

27^{1-x} =\frac{1}{9^{2x} }

Recall that

\frac{1}{ {a}^{m} }  = {a}^{ - m}

Apply this rule on the right hand side to get,

27^{1-x} =9^{ - 2x}

Express both sides to base 3.

3^{3(1-x)} =3^{2( - 2x)}

Equate the exponents:

3(1-x)=2(-2x)

Expand:

3 - 3x =  - 4x

Group like terms,

4x - 3x =  - 3

x =  - 3

7 0
3 years ago
John guessed that he was going to get
leonid [27]

Answer:

he only got 93.333333333333% of what he thought he was going to get

Step-by-step explanation:

6 0
3 years ago
Evaluate the expression when x = 28 and y=5. x-3y​
Liula [17]

Answer:

13

Step-by-step explanation:

Substitute x for 28 and y for 5:

(28) - 3(5)

28 - 15

13

8 0
3 years ago
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