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lesya [120]
3 years ago
15

PLEASE HELP THIS IS TIMED

Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0
X is less than or equal to -2 saying letter left number riht. when the symbol points to the letter like an arrow, go left on the number line. when it points to the number go riht on the number line.
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What are the quotient and remainder of (x^5-x^3+-5) divided by (x-2)
pishuonlain [190]

Answer:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

Step-by-step explanation:

You can do this through synthetic division. It is a shorthand way of dividing polynomials.

First you need to make your divisor equal to zero so you can solve for what goes into the division box:

x - 2 = 0 →     x = 2

The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.

x⁵ - x³ + (-5)   →  x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)

Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

Next you bring down the first coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

        +1    

Then you multiply it by the divisor and write the product under the next coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>           +2                                   </u>

        +1    

Next add the column and put the sum below it:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2                                   </u>

        +1    +2

Then multiply again and repeat until you reach the last coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2    +4   +6   +12   +24 </u>

        +1    +2    +3   +6   +12    +19

Now that you have your results, add  in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :

+1x⁴    +2x³    +3x²   +6x   +12   +19

Now the last coefficient is your remainder. So your results will be:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

7 0
3 years ago
Read 2 more answers
In which set are all of the numbers solutions to the inequality x &lt; -3?
Tomtit [17]

Answer:

i dont know have a good day pls stay safe dont get hurt and get a good grade

Step-by-step explanation:

8 0
3 years ago
Which property was used to solve the given inequality?
Amiraneli [1.4K]

Subtraction Property of Inequality is used to solve the given inequality

<em><u>Solution:</u></em>

Given inequality is:

y + 8 < - 8

To solve the inequality, subtract 8 on both sides,

We know that,

Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged

Also, by Subtraction Property of Inequality,

If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well

y + 8 < - 8\\\\\text{Subtract 8 from both sides of inequality }\\\\y + 8 - 8 < -8  - 8\\\\simplify,\\\\y

Thus, Subtraction Property of Inequality is used

4 0
3 years ago
If you roll a fair six-sided die and a fair four-sided die, what is the probability that neither die shows a 1
photoshop1234 [79]
One out of six minus 5  then u do that 
7 0
3 years ago
Your friend says that the solutions to the inequality 5x - 14x &lt; - 18 are x ≤2. Solve the inequality correctly. What error di
katrin2010 [14]
<h3>Answer:  x > 2</h3>

Work Shown:

5x - 14x < - 18

-9x < - 18

x > -18/(-9)

x > 2

The inequality sign flips when dividing both sides by a negative number.

Here's another approach you could take.

5x - 14x < - 18

-9x < -18

0 < -18+9x

18 < 9x

9x > 18

x > 18/9

x > 2

It's a slightly longer pathway, but it avoids a sign flip when you divide both sides by the positive number 9.

The sign flip happens two steps earlier when going from 18 < 9x to 9x > 18. In other words, A < B is the same as B > A.

6 0
2 years ago
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