1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luda [366]
3 years ago
5

Hence solve the equation x^3+x^2-6x=0​

Mathematics
2 answers:
Sever21 [200]3 years ago
8 0

Answer:x³ + x² - 6x = 0

x(x² + x - 6) = 0

x(x² + 3x - 2x - 6) = 0

x[x(x + 3) - 2(x + 3)] = 0

x(x - 2)(x + 3) = 0

x₁ = 0

x - 2 = 0 => x₂ = 2

x + 3 = 0 => x₃ = - 3

Step-by-step explanation:

Aneli [31]3 years ago
4 0

<em>Answer:</em>

<em />

<em>x³ + x² - 6x = 0</em>

<em>x(x² + x - 6) = 0</em>

<em>x(x² + 3x - 2x - 6) = 0</em>

<em>x[x(x + 3) - 2(x + 3)] = 0</em>

<em>x(x - 2)(x + 3) = 0</em>

<em>x₁ = 0</em>

<em>x - 2 = 0 => x₂ = 2</em>

<em>x + 3 = 0 => x₃ = - 3</em>

You might be interested in
Good afternoon guys and god bless!! does anyone know the answer to this?
SVEN [57.7K]

Answer:

ITS UNDEFINED

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Find the variance of the set of data to the nearest tenth: 5, 8, 2, 9, 4
Orlov [11]

Answer:

Therefore the variance on the data set is 8.3

Step-by-step explanation:

In order to find the variance of the set of data we first need to calculate the mean of the set, which is given by:

mean = sum of each element / number of elements

mean = (5 + 8 + 2 + 9 + 4)/5 = 5.6

We can now find the variance by applying the following formula:

s^{2} = \frac{\sum_{(i=1)}^n(x_i - mean)^2}{n -1}

So applying the data from the problem we have:

s² = [(5 - 5.6)² + (8 - 5.6)² + (2 - 5.6)² + (9 - 5.6)² + (4 - 5.6)²]/(5 - 1)

s² = [(-0.6)² + (2.4)² + (-3.6)² + (3.4)² + (-1.6)²]/4

s² = [0.36 + 5.76 + 12.96 + 11.56 + 2.56]/4 = 8.3

Therefore the variance on the data set is 8.3

7 0
3 years ago
Can someone help me? I’ll reward points + brainalist
Setler79 [48]

Answer:

d) A = π(9^{2})

Step-by-step explanation:

area = π r^{2}

diameter = 18

radius (half of diameter) = 9

area = π 9^{2}

6 0
3 years ago
The average student loan debt for college graduates is $25,150.
Aleks04 [339]

Using the normal distribution, it is found that:

a) X \approx N(25150, 12050)

b) There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.

c) Low: $23,519.65, High: $26,580.35.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 25150, \sigma = 12050.

Hence the distribution of X can be described as follows:

X \approx N(25150, 12050)

The probability that the college graduate has between $14,200 and $33,950 in student loan debt is the <u>p-value of Z when X = 33950 subtracted by the p-value of Z when X = 14200</u>, hence:

X = 33950:

Z = \frac{X - \mu}{\sigma}

Z = \frac{33950 - 25150}{12050}

Z = 0.73

Z = 0.73 has a p-value of 0.7673.

X = 14200:

Z = \frac{X - \mu}{\sigma}

Z = \frac{14200 - 25150}{12050}

Z = -0.91

Z = -0.91 has a p-value of 0.1814.

0.7673 - 0.1814 = 0.5859.

There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.

Considering the symmetry of the normal distribution, the middle 10% is between the 45th percentile(X when Z = -0.127) and the 55th percentile(X when Z = 0.127), hence:

Z = \frac{X - \mu}{\sigma}

-0.127 = \frac{X - 25150}{12050}

X - 25150 = -0.127(12050)

X = $23,519.65.

Z = \frac{X - \mu}{\sigma}

0.127 = \frac{X - 25150}{12050}

X - 25150 = 0.127(12050)

X = $26,580.35.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

5 0
2 years ago
How do we solve this?<br> (No need to find x)
Genrish500 [490]

Answer:

Hi,

Step-by-step explanation:

We can't solve that but reduce it to the same denominator.

\dfrac{x+5}{x}+\dfrac{x+8}{x-1}\\\\=\dfrac{(x+5)(x-1)+x(x+8)}{x(x-1)}\\\\=\dfrac{x^2+5x-x-5+x^2+8x}{x(x-1)}\\\\=\dfrac{2x^2+12x-5}{x(x-1)}\\

5 0
2 years ago
Other questions:
  • One container is filled with a mixture that is 30%acid a second container is filled with a mixture that is 50%acid the second co
    9·1 answer
  • lily has 1/2 of her sandwich left. She wants to give an equal piece to each of her 5 friends. What fraction of the whole sandwic
    8·1 answer
  • At the movie theatre, child admission is $5.60 and adult admission is $9.10 . On Tuesday, twice as many adult tickets as child t
    13·1 answer
  • Robert is purchasing some equipment for his baseball team. He wants to buy some baseballs, each priced at m dollars. He has alre
    5·1 answer
  • Anyone know the answer??
    7·1 answer
  • 4x + 7 = 23<br> solve for x<br> plz show work
    5·1 answer
  • Explain bar graphs. Give an example.
    8·1 answer
  • Patrick’s drawing uses a scale of 1 inch = 10 meters. Squidward made another scale drawing of the hotel with a scale of 2 cm = 4
    6·2 answers
  • Two-fifths of Aika’s stamp collection are European stamps.
    14·1 answer
  • How many times can 7 go into 1000
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!