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NemiM [27]
2 years ago
5

Which of the following is the correct factorization of the polynomial below? 2x^2-8x+8

Mathematics
2 answers:
Akimi4 [234]2 years ago
5 0

Answer:

2(x-2)²

Step-by-step explanation:

We have to factorize the given expression.

2x² - 8x + 8  =  2[x²- 4x + 4]

                    = 2(x - 2)²       [since (a-b)² = a² + b² - 2ab]

Therefore, 2(x-2)² is the correct factorized form.

il63 [147K]2 years ago
4 0
The correct factorization is
   2(x-2)²
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Write the first four terms of a geometric sequence with a first term of 81 and a ratio of 1/3
zaharov [31]

Answer:

Huh?

Step-by-step explanation:

6 0
3 years ago
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There are 12 bags in a box of popcorn that cost $8.25. Find the unit rate for ONE bag of popcorn. Round to the hundredths place.
goldfiish [28.3K]

Answer:

$0.69 for each bag

Step-by-step explanation:

Since you have 12 bags for $8.25, that means you need to divide the price by the number of bags to get the price of each:

\frac{8.25}{12}  = 0.6875

You then need to round to the nearest hundredths.  Since the number after the hundredths place is a 7, which is greater than or equal to 5, you need to add 1 to the hundredths place making the final answer $0.69

7 0
3 years ago
Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi
Leona [35]

Answer:

The general solution of   cos x = cos(\frac{\pi }{6})   is  

                                                x = 2nπ±\frac{\pi }{6}

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Step-by-step explanation:

Explanation:-

Given equation is  

                              2cosx-\sqrt{3} =0  for 0

                              2cosx =\sqrt{3}

Dividing '2' on both sides, we get

                             cos x =\frac{\sqrt{3} }{2}

                             cos x = cos(\frac{\pi }{6})

<em>General solution of cos θ = cos ∝ is θ = 2nπ±∝</em>

<em>Now The general solution of   </em>cos x = cos(\frac{\pi }{6})<em>   is  </em>

<em>                                                 x = 2nπ±</em>\frac{\pi }{6}<em></em>

put n=0

x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Put n=1  

x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}

x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}

put n=2

x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}

x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}

And so on

But given 0 < x< 2π

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

                               

6 0
3 years ago
Barrett is ordering t-shirts for his school's student council. Company D charges a
stiv31 [10]

Answer:

A. 6.25x + 30 > 9.75x+12

Step-by-step explanation:

This is because we know from the problem that x is the minimum number of t-shirts. We also know Company D charges a 6.25 fee for each tee, while Company E charges a 9.75 fee per tee.  Based on the information we know, we can choose the problem.

5 0
1 year ago
Witch method can be used to find the area of the composite shape?
Setler79 [48]
No idea because there is no image
6 0
3 years ago
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