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scoundrel [369]
3 years ago
15

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

tandard form. (5 points) 4, -8, and 2 + 3i
Mathematics
1 answer:
Oksanka [162]3 years ago
4 0
We need a matching complex to 2+3i. The conjugate is 2-3i and the two factors are (x-2-3i)(x-2+3i)=(x²-4x+4+9)=x²-4x+13.
The polynomial is (x-4)(x+8)(x²-4x+13)=(x²+4x-32)(x²-4x+13)=
x⁴-4x³+13x²
+4x³-16x²+ 52x
-32x²+128x-416
x⁴-35x²+180x-416 is the 4th degree polynomial.
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An auto mechanic converts a metric part to 0.492 in. The part comes only in fractional sizes given to the nearest 64th of an inc
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Answer:

the closest part the mechanic can chose is 0.5 inch

Step-by-step explanation:

fractional sizes given to the nearest 64th of an inch = 1/64 = 0.0156

the closest size to 0.492in = 0.492 + 0.0156 = 0.5076 inches

approximately, the closest part the mechanic can chose is 0.5 inch

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3 years ago
Whats the most accurate estimation of 65+77
Bogdan [553]
You could round 77 to 80 and 65 to 70 and then add 70 and 80 and you will get 150
6 0
2 years ago
Read 2 more answers
Whats the answer for this
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3 0
3 years ago
2. Consider the following dot plot and answer the following questions : A. Find the measures of central tendency Construct the B
zubka84 [21]

The measures of central tendency for this data set are as follows:

  1. Mean = 3.55.
  2. Median = 3.5.
  3. Mode = 3.

<h3>How to calculate measures of central tendency?</h3>

In Mathematics, there are three (3) main measures of central tendency and these include the following:

  • Mean
  • Median
  • Mode

For the mean, we have:

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 0 + 1 + 1 + 1 + 2 + 2 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7

F(x) = 71

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = 71/20

Mean = 3.55.

For the median, we have:

First of all, we would order the data from lowest to highest and then determine the median as follows:

Data = {0, 1, 1, 1, 2, 2, 3, 3, 3,} 3, 4, {4, 4, 5, 5, 5, 6, 6, 6, 7}

Median = {3 + 4}/2

Median = 7/2

Median = 3.5.

<h3>How to calculate the mode?</h3>

A mode refers to the most frequently occurring number in a data set. Thus, the mode for this data set is equal to 3.

In conclusion, a box plot of the measures of central tendency for this data set is shown in the image attached below.

Read more on mean here: brainly.com/question/9550536

#SPJ1

6 0
1 year ago
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