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Anarel [89]
2 years ago
11

2. Check the boxes for the following sets that are closed under the given

Mathematics
1 answer:
son4ous [18]2 years ago
5 0

The properties of the mathematical sequence allow us to find that the recurrence term is 1 and the operation for each sequence is

   a) Subtraction

   b) Addition

   c) AdditionSum

   d) in this case we have two possibilities

       * If we move to the right the addition

       * If we move to the left the subtraction

The sequence is a set of elements arranged one after another related by some mathematical relationship. The elements of the sequence are called terms.

The sequences shown can be defined by recurrence relations.

Let's analyze each sequence shown, the ellipsis indicates where the sequence advances.

a) ... -7, -6, -5, -4, -3

We can observe that each term has a difference of one unit; if we subtract 1 from the term to the right, we obtain the following term

        -3 -1 = -4

        -4 -1 = -5

        -7 -1 = -8

Therefore the mathematical operation is the subtraction.

b) 0. \sqrt{1}. \sqrt{4}, \sqrt{9}, \sqrt{16}, \sqrt{25}  ...

In this case we can see more clearly the sequence when writing in this way

      0, \sqrt{1^2}. \sqrt{2^2}, \sqrt{3^2 } . \sqrt{4^2} , \sqrt{5^2}

each term is found by adding 1 to the current term,

      \sqrt{(0+1)^2} = \sqrt{1^2} \\\sqrt{(1+1)^2} = \sqrt{2^2}\\\sqrt{(2+1)^2} = \sqrt{3^2}\\\sqrt{(5+1)^2} = \sqrt{6^2}

Therefore the mathematical operation is the addition

c)   ... \frac{-10}{2}. \frac{-8}{2}, \frac{-6}{2}, \frac{-4}{2}. \frac{-2}{2}. ...

      The recurrence term is unity, with the fact that the sequence extends to the right and to the left the operation is

  • To move to the right add 1

           -\frac{-10}{2} + 1 = \frac{-10}{2}  -   \frac{2}{2}  = \frac{-8}{2}\\\frac{-8}{2} + \frac{2}{2} = \frac{-6}{2}

  • To move left subtract 1

         \frac{-2}{2} - 1 = \frac{-4}{2}\\\frac{-4}{2} - \frac{2}{2} = \frac{-6}{2}

         

Using the properties the mathematical sequence we find that the recurrence term is 1 and the operation for each sequence is

   a) Subtraction

   b) Sum

   c) Sum

   d) This case we have two possibilities

  •  If we move to the right the sum
  •  If we move to the left we subtract

Learn more here: brainly.com/question/4626313

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Start with

-3|2x+6|=-12

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What are the solutions of this quadratic equation?X2 - 10x= -34A.r=-8, -2B.r= 5 + 3iC.r=-5 + 3iD.r=-5 + 159
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The given equation is-

x^2-10x=-34

First, we move the independent term to the other side.

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Now, we have to use the quadratic equation to find the solutions.-

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Replacing these values in the formula, we have.

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But, there's no square root of -36 because it's a negative. To solve this issue, we use complex numbers that way, we would have solutions.

x_{1,2}=\frac{10\pm\sqrt[]{36}i}{2}=\frac{10\pm6i}{2}=5\pm3i<h2>Therefore, the solutions are</h2>\begin{gathered} x_1=5+3i \\ x_2=5-3i \end{gathered}The right answer is B.
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Answer:

C-42

B-156

A-66

Step-by-step explanation:

Now I'm not a 100% sure on this but I'm pretty confident.

The easiest on to find was C because on the opposite side was 24 so the side we are working with must equal 24. In order to find the answer I did 24 + 18 and got 42. That means C = 42.

The next one I found was B. A straight line is 180 degrees so I subtracted 24 from 180 and got 156.

Finally I found A. This was considerably the quickest on to find for me because of all the other measurements I found and the 90 degrees beside the A. I subtracted 90 from the already found 156. I got 156 because if you take out the 90 degree line it would be a mirror image of B. Once I subtracted 90 from 156 I got 66 as my answer.

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