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scoray [572]
3 years ago
5

Write f(x) in the form (x-k)q(x)+r, given that k=-2. f(x)=3x^4+4x^3-10x^2+15

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
3 0
You may perform the division using either long division or synthetic division.  Any preference?

I used synthetic div. with -2 as the divisor:

      ________________
-2  /  3   4   -10   0   15
             -6     4   12  -24
        -------------------------
        3    -2   -6    12   -9

In factored form, with remainder, we then have:

   (x+2)(3x^3 - 2x^2 - 6x + 12)   remainder -9

If you need clarification of any part of this solution, let me know.
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Find the Mean from the line plot. Show your work and explain how you solved using First, Next, and Last.
Musya8 [376]

Answer:

mean is 5

Step-by-step explanation:

<h2>MEAN</h2>

mean is regarded as the average number of items

<h3>mean formula:</h3>

<em>(sum of terms) / (number of terms)</em>

<h3><u /></h3><h3><u>Firstly</u></h3>

the numbers in the data set are :

3,3,3,4,6,6,7,8

they are already arranged in order, so no need to rearrange.

<h3><u>Next </u></h3>

add the numbers together to find the total :

3 +3 +3 +4 +6+ 6+7 +8

= 40

ALSO,

find how many number of terms they are --- this is 8

Last

use the mean formula to solve :

<em>(sum of terms) / (number of terms)</em>

= 40/8

= 5

<h3><em><u>the mean is the 5 </u></em></h3>
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2 years ago
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DochEvi [55]

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Step-by-step explanation:

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SCORPION-xisa [38]
It only equals positive 12, that symbol means it equals positive and negative 12
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Trava [24]
11 = 1.375 * 8
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