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nordsb [41]
3 years ago
15

Factor completely 81x8 − 1. (9x4 − 1)(9x4 + 1) (3x2 − 1)(3x2 + 1)(9x4 − 1) (3x2 − 1)(3x2 + 1)(9x4 + 1) (3x2 − 1)(3x2 + 1)(3x2 +

1)(3x2 + 1)
Mathematics
1 answer:
denis-greek [22]3 years ago
6 0

Answer:

(3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

Step-by-step explanation:

Using the identity for the difference of 2 squares;

a^2 - b^2 = (a - b)(a + b)  

we put a^2 = 81x^8 and b^2 = 1  giving

a = 9x^4 and b = 1, so:

81x^8 − 1 =   (9x^4 - 1)(9x^4 + 1)

Applying the difference of 2 squares to 9x^4 - 1:

= (3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

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Paula knows the total cost for 100 students will be $750, and the cost total cost for 150 students is $1050. What is the caterer
Roman55 [17]

Step-by-step explanation:

the price charged for 100 students reflects the cost per student that applies to the order as a whole.

100 * 6 = $600, so the fixed cost is 750-600 = 150.

...

We can check this by substituting in the other equation.

Does 150*6 + 150 = 1050?

150*6=900

900+150 = 1050.

Yes, it does

...

We can express this relationship by the equation:

y = mx + b

where

y = total cost

m = $6 per student

x = number of students

b = fixed costs = 150

y = 6x + 150

8 0
3 years ago
Gavin plans to mix a batch of tangerine paint. He expects to have a total of 5 3/10 ounces of paint after he mixes the amounts o
SVEN [57.7K]
Tangerine is simply color orange, which is an addition of red and yellow colors. To analyze if the portions written below are reasonable, the given sum must equal to the sum of the individual red and yellow parts.

Total Red + Total Yellow = 5(3/10)
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3.45 ? 1.5
3.45 ≠ 1.5

<em>Since they are not equal, then it means the portions are unreasonable.</em>
3 0
3 years ago
When the shape of a bst approaches that of a perfectly balanced binary tree, what is the worst case performance characteristic o
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The shape of a bst approaches that of a perfectly balanced binary tree, (log2n) is the time complexity for a balanced binary search tree in case of insertions and search.

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A binary tree has a special situation that each node could have a most of two youngsters. A binary tree has the benefits of each an ordered array and a linked listing as search is as brief as in a taken care of array and insertion or deletion operation are as fast as in related listing.

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7 0
2 years ago
What is 2x-6 = 3x+1-X-7 and you have to regroup/ divide by number next to x?
Elena L [17]

Answer:

infinite solutions

Step-by-step explanation:

2x-6 = 3x+1-X-7

Combine like terms

2x-6 = 3x-x +1-7

2x-6 = 2x -6

subtract 2x from each side

-6 = -6

Since this is a true statement, x can be any real number

5 0
2 years ago
Which trip could be modeled by the expression |-6| + |8|?
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