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jekas [21]
3 years ago
6

Which of the following is the complete factorization of 3x2-6x-240?

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0
1.  Reduce  <span>3x2-6x-240   to    x^2 - 2x - 80

2.  Use " ^ " to indicate exponentiation

3.  Factor  </span>x^2 - 2x - 80 using completing the square:

     x^2 - 2x + 1^2 - 1^2 - 80

         (x+1)^2 - 1  - 80
          (x+1)^2 - 81
          (x+1)^2 - 9^2  = (x+1-9)(x+1 +9), or (x-8)(x+10)

Final answer, with all factors shown:      3(x-8)(x+10)
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A

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3 0
2 years ago
PLEASE HELP ME QUICKLY!!! Given that N:{1,2,3,5,8,13} and M:{−9,−8,−6,−4,−2,4}, which statements about N and M are true?
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Answer:

The intersection of N and M contains only those elements that are in both N and M.

The intersection of N and M is ϕ.

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Step-by-step explanation:

Given

M = { 1, 2, 3, 5, 8, 13}

N = {-9, -8, -6, -4, -2, 4}

Now let us see each statement one by one.

The intersection of N and M contains only those elements that are in both N and M.

The statement is true because by definition intersection of two sets consists of common elements of both sets.

The intersection of N and M is ϕ.

The statement is true. As there is no common element in both sets.

The intersection of N and M is {−9,−8,−6,−4,−2}.

The statement is false because there is not common element in M and N.

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The statement is false as the union consists of elements of both sets so it can't be empty.

​N∩M=∅

True. Because no common element so intersection will be an empty set..

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3 years ago
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