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Aleks [24]
3 years ago
9

Factor and find all the roots of x^4 +x=0

Mathematics
1 answer:
Furkat [3]3 years ago
7 0
         x⁴ + x = 0
x(x³) + x(1) = 0
    x(x³ + 1) = 0
x = 0    or    x³ + 1 = 0
                        - 1  - 1
                         x³ = -1
                          x = -1
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Write the sentence as an absolute value inequality, then solve the inequality: A number “n” is more than 9 units from 3
Helga [31]

Answer:

absolute vlaue inequality: |x-3| > 9; solved: x<-6 and x>12

Step-by-step explanation:

I’m going to start this off by saying I learned all this right now by just searching up how to solve an absolute inequality equation and watching one video, so this might not be an accurate explanation. (I’m pretty sure the answer’s right though)

So an absolute value inequality must be written like this:  

| x - a | *inequality* b

a is going to be the number that the inequality is centered around, in this case, 3. b will be how far you can deviate from that number, which in this case is 9.  

Now, you will have this:

|x - 3| *inequality* 9

Now, to find the inequality, you need to understand the wording. If it says “more than” as it does here, then you would have the greater-than symbol (>). If you have “less than” then you’d have the less-than symbol (<). If the problem says “at least b away” then it would be greater-than-or-equal to (≥), and likewise, if it says “at most b away” then it would be less-than-or-equal-to (≤).

So now we're at:

|x - 3| > 9

To solve the equation, you just need to subtract 9(b) from 3(a) and add 9(a) to 3(b) to get -6 and 12. Since x must be more than 9 units away, you would get:

x<-6 and x>12

Hope this is helpful!

6 0
3 years ago
The angles in a triangle are represented by 5x, 8x, and 2x+9. What is the value of x?
Ahat [919]

Answer:

x = 11.4

Step-by-step explanation:

The sum of the angles of any triangle must add up to 180°.  Since we have the expressions for each angle:  5x, 8x, and (2x +9), we can solve for the variable of 'x' by adding the expressions together and setting them equal to 180:

5x + 8x + (2x +9) = 180

Combine like terms:  15x + 9 = 180

Use inverse operations: 15x + 9 - 9 = 180 - 9

                                                     15x = 171  or x = 11.4

Check:  5(11.4) + 8(11.4) + 2(11.4) + 9 = 57 + 91.2 + 22.8 + 9 = 180

8 0
3 years ago
If the subtrahend is 9 and the difference is 8 what is the minuend
enyata [817]
The subtrahend is 9 and the difference is 8 and the minuend is 17
3 0
3 years ago
Ans: 720cm
UkoKoshka [18]

Answer:

663

Step-by-step explanation:

the total number of students can be determined using this equation :

(total ratio of Chinese and Indian students / total ratio of students) x n = 468

total ratio of Chinese and Indian students = 4 + 8 = 12

total ratio of students 4 + 8 + 5 = 17

N = TOTAL NUMBER OF STUDENTS

12/17) x n = 468

multiply both sides of the equation by 17/12

n = 663

3 0
3 years ago
Find the average rate of change of the function from <img src="https://tex.z-dn.net/?f=x_%7B1%7D" id="TexFormula1" title="x_{1}"
meriva

Hi there!

\large\boxed{\text{Average rate} = 2}

Use the following equation to solve:

\text{Average rate} = \frac{f(x_{2}) - f(x_{1})}{x_{2} - x_{1}}

Solve for the y-values of the equation at the given x values:

f(1) = 1² - 4(1) + 10 = 7

f(5) = 5² - 4(5) + 10 = 15

Plug  the solved values into the equation:

\text{Average rate} = \frac{15 - 7}{5-1}

Simplify:

\text{Average rate} = \frac{8}{4} = 2

6 0
2 years ago
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