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Julli [10]
2 years ago
11

What second degree polynomial function has a leading coefficient of -2 and root 4 with a multiplicity of 2

Mathematics
1 answer:
OverLord2011 [107]2 years ago
8 0

The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:

p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2

<h3>How to write the polynomial?</h3>

A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:

p(x) = a*(x - x_1)*(x - x_2)*...*(x - x_n)

Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.

Then this polynomial is equal to:

p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2

If you want to learn more about polynomials:

brainly.com/question/4142886

#SPJ1

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3 years ago
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There are 30 students in Mrs. Woodward’s class, and 1/5 of the class has their own cell phone. Of this group of students, 1/2 of
olga_2 [115]

Answer:

3 students

Step-by-step explanation:

There are 30 students in Mrs. Woodward’s class.

\dfrac{1}{5} of the class has their own cell phone, so

\dfrac{1}{5}\cdot 30=\dfrac{1}{5}\cdot \dfrac{30}{1}=6

students have their own cell phones.

\dfrac{1}{2} of those 6 students are allowed to use social media. So,

\dfrac{1}{2}\cdot 6=\dfrac{1}{2}\cdot \dfrac{6}{1}=3

students are allowed to use social media.

3 0
3 years ago
Which statement describes the symmetry of the data in the two box plots?
inysia [295]

Answer:

The data in country B are more symmetric than the data in country A.

Step-by-step explanation:

The following information is missing:

<em>The box plots show the average wind speeds, in miles per hour, for various cities in two different countries. Average Wind Speeds of Cities in Country A 2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities in country A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities in country B, the whiskers range from 1.2 to 11, and the box ranges from 4 to 9. A line divides the box at 6. Average Wind Speeds of Cities in Country B</em>

Country A

  • minimum: 1
  • quartile 1: 3
  • median: 4
  • quartile 3: 7
  • maximum: 9.5

Country B

  • minimum: 1.2
  • quartile 1: 4
  • median: 6
  • quartile 3: 9
  • maximum: 11

We can see that the difference between quartile 1 and minimum, median and quartile 1, quartile 3 and median, and maximum and quartile 3 is more homogeneous in Country B than Country A, then Country B is more symmetric.

3 0
3 years ago
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Which of the following is a subset of {1, 2, 3}?
KATRIN_1 [288]
It is the third option: {1, 2, 3}
5 0
3 years ago
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Part 1: How's the weather? A. Investigate the weather forecast in your city. Record the high and low temperatures that are forec
victus00 [196]

Using the mean concept, it is found that:

1. The mean change in the forecasted high temperatures is of -0.33ºC.

2. The mean change in the forecasted low temperatures is of 0.5ºC.

-----------------------------

The mean of data-set is given by the <u>sum of all observations divided by the number of observations.</u>

Item 1:

The changes in the high temperature are: 2, 1, -1, -1, -1, -2

Thus:

M = \frac{2 + 1 - 1 - 1 - 1 - 2}{6} = -0.33

The mean change in the forecasted high temperatures is of -0.33ºC.

Item 2:

The changes in the low temperature are: 2, -2, 2, 1, 0, 0.

M = \frac{2 - 2 + 2 + 1 + 0 + 0}{6} = 0.5

The mean change in the forecasted low temperatures is of 0.5ºC.

A similar problem is given at brainly.com/question/24754716

3 0
2 years ago
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