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s2008m [1.1K]
3 years ago
11

(-2x²- 4x + 2) - (-6x + 2)

Mathematics
1 answer:
devlian [24]3 years ago
6 0

Answer:

(-2x²- 4x + 2) - (-6x + 2) = -2x²+ 2x

Step-by-step explanation:

(-2x²- 4x + 2) - (-6x + 2)=

= -2x²- 4x + 2 + 6x - 2 =

= -2x²+ 2x

You might be interested in
find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
3 years ago
the first term of an arithmetic sequence is -27. the common difference of the sequence is 6. What is the sum of the first 30 ter
Nina [5.8K]

Answer:

1800

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 27 and d = 6, thus

S_{30} = \frac{30}{2} [ (2 × - 27) + (29 × 6) ]

     = 15( - 54 + 174)

     = 15(120)

     = 1800

4 0
3 years ago
a truck is rented at 40$ per day plus a charge per mile use. The truck traveled 15 miles in one day, and the total charge was 11
Alla [95]

Answer:

15x + 40 = 115

We set the equation to 115 because the total cost is $115.

We add the "+ 40" because of the $40 to rent the trailer for the day.

The 15x is because it represents the miles per hour (x) times the number of hours.

The number of hours times the charge per mile, plus the $40 to rent it, will equal $115.

Hope this helps!!

5 0
3 years ago
A cell phone plan costs $150 to start. Then there is a $25 charge each month.
grin007 [14]

Answer:

$175

Step-by-step explanation:

Since it’s only one month you just add 150 by 25

Correct me if I am wrong

7 0
3 years ago
Identify the solution set of the inequality, using the given replacement set.
Deffense [45]
Thank you for posting your question here at brainly. Feel free to ask more questions.   
<span>
The best and most correct answer among the choices provided by the question is </span><span>C.{–10, –4.3}</span> .    
      <span>
Hope my answer would be a great help for you.  </span>
7 0
2 years ago
Read 2 more answers
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