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Katyanochek1 [597]
2 years ago
8

Solve the following quadratic by completing the square. y = x2 - 6x +2

Mathematics
1 answer:
Nana76 [90]2 years ago
4 0

Answer: 3 \pm \sqrt{7}

Step-by-step explanation:

1) \text{ } x^{2}-6x+2=0\\\\2) \text{ } x^{2}-6x=-2\\\\3) \text{ } x^{2}-6x+\left(\frac{-6}{2} \right)^{2}=-2+\left(\frac{-6}{2} \right)^{2}=7\\\\4) \text{ } (x-3)^{2}=7\\\\5) \text{ } x-3 =\pm \sqrt{7} \longrightarrow \boxed{3 \pm \sqrt{7}}

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mamaluj [8]
If the temperature drops 3 degrees ever hour, and she monitors it for 5 hours, then the equation would be 3 x 5 = 15. So the temperature ultimately has dropped 15 degrees during the past 5 hours.
4 0
2 years ago
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What is -25.83538 times 29 to the power of three divided by 27.954?
soldi70 [24.7K]
I got −15,045,083.2130533
4 0
2 years ago
The surface of an office desk has a perimeter of 20 feet and an area of 21 square feet. what are the dimensions of the desk?
PolarNik [594]

Answer:

3 feet by 7 feet

Step-by-step explanation:

perimeter = 20 feet

area = 21 feet²

If the desk is a rectangle:

perimeter = 2l + 2w = 2 (l+w) = 20

                                    2 (l+w) = 20 , divide both sides by 2

                                          l+w = 10

area = l · w = 21

What numbers we know that have sum as 10 and their product as 21?

l + w = 10

l · w = 21

factors of 21 are 1,3,7

3+7 = 10

3 ·7 = 21

The dimensions of the desk could be 3 feet by 7 feet.

6 0
1 year ago
8. Mitchell bought 600 shares of Centerco two years ago $34.50 per share. He sold them yesterday for $38.64 per share.
g100num [7]

Answer:

a. percentage increase in price per share = 12%

b. The total purchase price for the 600 shares is $20,700

c.  The profit for the 600 shares is $2,484

d.  The profit for the 600 shares is $2,484

Step-by-step explanation:

a. Initial price per share    =  $34.50

Current price per share = $38.64

Change or increase in price =  $38.64 - $34.50 = $4.14

percentage increase in price per share = 12/34.50 x 100% = 12%

b. Total number of shares     =  600

    Price                                   =   $34.50

   The total purchase price for the 600 shares = ($34.5x600) = $20,700

c.  Total cost of 600 shares   =  ($34.5x600) = $20,700

     Total revenue from sales =  ($38.64x600) = $23,184

     Profit from the 600 shares = Total selling price - total cost price

                                                  = $23,184 - $20,700 = $2,484

d.  Total cost of 600 shares   =  ($34.5x600) = $20,700

     Total revenue from sales =  ($38.64x600) = $23,184

     Profit from the 600 shares = Total selling price - total cost price

                                                  = $23,184 - $20,700 = $2,484

7 0
2 years ago
What is the answer to, (4-1) . n = n . _
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Answer:

(4-1)•n=n•(4-1)

Step-by-step explanation:

It should equal each other so no matter what n equals it will equal each other :3

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