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2 years ago

The polynomial p(x)=1−2x2−3x3+4x has what order? a. 4 b. 2 c. 3 d. 1

Mathematics

1 answer:

VLD [36.1K]2 years ago

3 0

Answer:

Step-by-step explanation:

Given the polynomial : p(x)=1−2x2−3x3+4x

Rearranging : p(x) = -3x³ - 2x² + 4x + 1

Looking at the polynomial Given, we can see that it is a univariate polynomial, that is it has only one variable which is x. Thus for polynomials of this sort, the order of the polynomial is the highest exponent occurring in the polynomial equation. Therefore, the order of the polynomial above is 3, because the highest power of the function is 3.

This means that those with 4 as their highest exponent are of order 4 and those with highest exponent as 2 are of order 2.

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Solve each inequality.Graph the solution on a number line.

Snowcat [4.5K]

your answer is

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3 years ago

When ms. shreve solved an equation in class, she checked her solution and found that it did not make the equation true! Examine

IgorC [24]

The first part of the second line, she left the -5 there. The correct work and solution should be this:
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2 years ago

There are approximately 4.3 million births in a country each year. Find the birth rate in units of births per minute.

Masja [62]

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2 years ago

In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes

ale4655 [162]

Answer:

The sample mean is $\bar{x}=14.371$ min.

The sample standard deviation is $\sigma = 18.889$ min.

Step-by-step explanation:

We have the following data set:

$\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}$

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

$\bar{x} = \frac{{\sum}x}{n}$

where, $n$ is the number of values in the data set.

$\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371$

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }$

The mean of a sample is $\bar{x}=14.371$ .

Create the below table.

Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 6422.0982$

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} } = \sqrt{ \frac{ 6422.0982 }{ 19 - 1} } \approx 18.889$

7 0

2 years ago

6/(x+1)-5/2=6/(3x+3)

jolli1 [7]

If you would like to calculate 6/(x+1)-5/2=6/(3x+3), you can do this using the following steps:

6/(x+1)-5/2=6/(3x+3)
6/(x+1)-5/2=6/(3(x+1)) /*(x+1)
6 - 5/2 * (x+1) = 6/3
6 - 2 = 5/2 * (x+1)
4 = 5/2 * (x+1) /*2/5
4 * 2/5 = x + 1
8/5 - 1 = x
x = 8/5 - 5/5 = 3/5

The correct result would be 3/5.

6 0

2 years ago