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Studentka2010 [4]
3 years ago
13

Complete the recursive formula of the arithmetic sequence -3, -1, 1, 3, ....​

Mathematics
2 answers:
Oliga [24]3 years ago
7 0
Recursive formula: b(n-1)+2
Ivanshal [37]3 years ago
5 0

Answer:b(1)= -3

Step-by-step explanation:

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If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b
gulaghasi [49]
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.

The first factor is x - (a + √b).
The second factor is x - (a - √b).

The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
      = x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
      = x² - 2ax + x√b - x√b + a² - b
      = x² - 2ax + a² - b

This is a quadratic polynomial, as expected.

If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
   = a +/- (1/2)*√(4b)
   = a +/- √b
x = a + √b, or x = a - √b, as expected.
3 0
2 years ago
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Jeremiah is working on a model bridge. He needs to create triangular components, and he plans to use toothpicks. He finds three
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Answer: No

Step-by-step explanation:

According to triangle inequality theorem which state that: the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Now let's test the given parameters if they obey this theorem

4 inches, 5 inches and 1 inch

4 + 5 = 9

9 > 1 correct

5 + 1 = 6

6 > 4 correct

4 + 1 = 5

5 not > 5 wrong

Therefore he won't be able to create the triangular component with these toothpicks without modifying any of the lengths

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3 years ago
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Do the side lengths 4, 8, and 10 form a triangle? Select the correct answer and reasoning.
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A. it forms a triangle

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2 years ago
The data set 80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 is graphed below. A graph shows the horizontal axis labe
guajiro [1.7K]

Based on the information given, it can be deduced that the distribution is a skewed distribution and the best choice is a median.

<h3>How to calculate the mean.</h3>

The mean will be:

= (80 + 84 + 79 + 44 + 87 + 73 + 89 + 90 + 82 + 89 + 93 + 97 + 77 + 71) / 14

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The median will be the middle number after the numbers are arranged in ascending order. This will be:

44, 71, 73, 77, 79, 80, 82, 84, 87, 89, 89, 90, 93, and 97. Therefore, the median will be:

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Lastly, the measure of center that is the best choice for this data set is median.

Learn more about median on:

brainly.com/question/14805451

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