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lutik1710 [3]
3 years ago
13

น.

7D%20%29%20%20%7B4%7D" id="TexFormula1" title="x = 1 - \sqrt{2} find \:(x - \frac{1}{x} ) {4}" alt="x = 1 - \sqrt{2} find \:(x - \frac{1}{x} ) {4}" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

Step-by-step explanation:

\frac{1}{x}=\frac{1}{1-\sqrt{2}}\\\\=\frac{1*(1+\sqrt{2})}{(1-\sqrt{2})(1+\sqrt{2})}\\\\=\frac{1+\sqrt{2}}{1^{2}-(\sqrt{2})}\\\\=\frac{1+\sqrt{2}}{1-2}\\\\=\frac{1+\sqrt{2}}{-1}\\\\= -[1+\sqrt{2}]\\\\x-\frac{1}{x}=1-\sqrt{2}-(-[1+\sqrt{2}])\\\\=1-\sqrt{2}+1+\sqrt{2}\\\\=2

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Find the value of k ​
Sholpan [36]

9514 1404 393

Answer:

  k = -2

Step-by-step explanation:

The determinant can be formed by subtracting up-diagonal products from down-diagonal products:

  (x)(x+y)(y) +(y)(x)(x+y) +(x+y)(y)(x) -(x+y)^3 -x^3 -y^3

  = 3xy(x+y) -(x^3 +3x^2y +3xy^2 +y^3) -x^3 -y^3

  = -2(x^3 +y^3)

The value of k is -2.

4 0
3 years ago
How many ways can you arrange the letters in the word prime?
Jobisdone [24]
There are 5 letters in the word "prime"

Imagine we had 5 slots to fill. They are empty initially. 
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice

We have this countdown: 5,4,3,2,1

which multiplies out to 5*4*3*2*1 = 120

There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.
7 0
3 years ago
1) You will begin by writing down the definition of "monetary policy."
stepan [7]

It should be noted that monetary policy simply means the policy that's adopted by the monetary authority in a country in order to control interest rates and the money supply.

<h3>Monetary policy.</h3>

Your information is unclear but the clear and complete ones will be answered appropriately. The main monetary policies include the reserve requirement, open market operations, discount rate, and the interest on reserves.

It should be noted that a larger money supply leads to the reduction of the market interest rates. This makes it less expensive for consumers to borrow.

Also, a smaller money supply raises the market interest rates. Expansionary monetary policy leads to an increase in the money supply. This will lead to an increase in expenditure and therefore, the aggregate demand will shift to the right.

Learn more about monetary policy on:

brainly.com/question/13926715

8 0
2 years ago
In surveying families with pets, 5 out of 7 families owned a dog. If 35 families had dogs, how many families were surveyed?
Sliva [168]
Hello There!

Follow these steps:
35/5 = 7
7 x 7 = 49
35 out of 49 families owned a dog.
49 families were surveyed.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

5 0
3 years ago
F(x)=2x+3<br> What would the ordered pair be if x=-2?
pogonyaev
(-2;-1)
-2 is X
-1 is Y
3 0
3 years ago
Read 2 more answers
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