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agasfer [191]
2 years ago
8

Find the product: ( x-1/x ) ( x+1/x ) ( x2+1/x2 ) ( x4+1/x4 )

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
3 0

Use the difference of 2 squares (a - b)(a + b) = a^2 - b^2:-

(x - 1/x)(x + 1/x) = x^2 - (1/x)^2

= x^2 - 1/x^2

(x ^2 - 1/x^2)(x^2 + 1 /x^2)

= x^4 - 1/x^4

(x^4 - 1/x^4)(x^4 + 1/x^4)

= x^8 - 1 /x^8 Answer

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What is the value of the expression “two less than six times the difference of a number and five” when n = 9?
Finger [1]

Answer:

Try solving 6(n-5)-2.

Step-by-step explanation:

I believe this can be set up as 6(n-5)-2. The difference of a number and five can be represented by n-5. If this needs to be multiplied by 6 (hence 6 times), it would become 6(n-5). Two less than that is represented by -2. Thus, two less than six times the difference of a number and five is 6(n-5) -2, which, when n=9 is plugged in, looks like 6(9-5) -2. Follow PEMDAS from there.

7 0
3 years ago
Select ALL the correct answers.
stiv31 [10]

Answer:

Statements 3, 4 and 5 are true.

Step-by-step explanation:

x^2 - 8x + 4

Using the quadratic formula:

x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2

= (8 +/- √(64 - 16)) / 2

= 4 +/- √48 / 2

= 4 +/- 4√3/2

= 4 +/- 2√3.

So the third statement is true.

Converting to vertex form:

x^2 - 8x + 4

= (x - 4)^2 - 16 + 4

= (x - 4)^2 -12

So the extreme value is at (4, -12)

So the fourth statement is true.

The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.

4 0
3 years ago
Ralph paid 660 for a camera at a 60% off sale. What was the original price of the camera?
NNADVOKAT [17]
60% divided by 6 = 10%
660 divided by 6 =110
10% x 10 = 100%
110 x 10 = 1100
7 0
3 years ago
One of the great mysteries of the world is my hotdogs and hotdog buns come in packages of different sizes hotdogs come in packs
V125BC [204]

Answer:

3 pack of hot dogs and 2 pack of buns 24

Step-by-step explanation:

hot dogs come in packs of 8

burns came in packs of 12

what is the least number of each you can buy in order to have a equal number of hot dogs and buns

so to get equal number

we have to look for the LCM of 8 and 12 = 24

therefore the packs will be equal to product

hot dogs come in packs of 8 = 8*3 = 24

burns came in packs of 12 = 12 *2 = 24

therefore, 3 pack of hot dogs and 2 pack of buns 24

7 0
3 years ago
Respond pls <br> To get some points
Ipatiy [6.2K]
<h2>Answer:</h2>

1/2

<h2>Step-by-step explanation:</h2><h3>Known :</h3>
  • The school football team has a match tomorrow
  • The probability of the team winning is 1/6
  • The probability of the team drawing is 2/6

<h3>Asked :</h3>
  • The probability of the team losing

<h3>Solution :</h3>

Probability of the team losing the match = 1 - 1/6 - 2/6

Probability of the team losing the match = 6/6 - 1/6 - 2/6

Probability of the team losing the match = 3/6

Probability of the team losing the match = 1/2

<h3>Conclusion :</h3>

The probability of the team losing the match is 1/2

7 0
2 years ago
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