divide 26x^4 - 13x^3 - 74x^2 - 46x - 24 by 2x^2 - 3x -5 and verify the result by division algorithm

Answers

Answer 1

Answer:

Step-by-step explanation:

Using long division:

                        13x^2 + 13x + 15   <------------Quotient

                       _________________________

2x^2 - 3x - 5 )  26x^4 - 13x^3 -  74x^2 - 46x - 24

                        26x^4 - 39x^3 - 65x^2

                                     26x^3 -   9x^2  - 46x

                                     26x^3 -  39x^2 - 65x

                                                    30x^2 + 19x   - 24

                                                    30x^2  - 45x  - 75

                                                                   64x + 51  <---- Remainder.     Division algorithm:

a = bq + r

Here a = the original expression , b = the divisor (2x^2 - 3x - 5), q is the quotient and r = the remainder,

26x^4 - 13x^3 - 74x^2 - 46x - 24 = (2x^2 - 3x - 5)(13x^2 + 13x + 15) + 64x + 51

= 2x^2(13x^2 + 13x + 15) - 3x(13x^2 + 13x + 15) - 5(13x^2 + 13x + 15) + 64x + 51

= 26x^4 + 26x^3 + 30x^2 - 39x^3 - 39x^2 - 45x - 65x^2 - 65x - 75+64x+51

= 25x^4 - 13x^3 - 74x^2 - 46x - 24 which is the same as the above.

                                                         

                                                   

                   

                 


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Step-by-step explanation:

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[tex]5+(4x-1)=5x+2[/tex]

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Question 5: The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.

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Answers

Answer:

The percentile rank of the data value 73 is 84.

Step-by-step explanation:

In this problem, you want to find the percentile rank of the data value 73 in the data set.

The percentile rank represents the percent of numbers in the data set that have value equal or less than 73.

Take note that there are 25 data values in this data set. It's helpful to sort them in ascending order.

Of these 25 data values, 21 are less than or equal to the data value 73. To find the percentile rank of 73, apply the formula:

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where L is the number of data values that are less than or equal to 73, and N is the size of the data set.

Substituting in values for this problem, we have:

percentile rank = (21/25)(100)

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Percentile ranks are always expressed as whole numbers.

Evaluating the multiplication above and rounding to the nearest whole number we have:

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Answers

Answer:

either 36 or 24

Step-by-step explanation:

The number of dresses can she make with the amount of silk she has is 48.

Given that,

She has 144 yards of silk fabric. For each dress, the skirt requires 3 yards of silk and the bodice requires 1 yard of silk.

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[tex]= 144 \div 3[/tex]

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Step-by-step explanation:

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Step-by-step explanation:

I did my work on a paper so I'm sorry i cant show you the work but i hope this helped

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Try it and see:

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  -4(-1) +3(-3) = 4 -9 = -5 . . . . . . works in the second equation

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__

Or, you can check the solution using a graphing calculator.

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Answers

Answer:

5

Step-by-step explanation:

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Answers

H=-1


Solving steps

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Answers

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

[tex]3x+18=4x+10[/tex]

Subtract 18 from both sides:

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[tex]3x=4x-8[/tex]

Subtract 4x from both sides:

[tex]3x-4x=4x-8-4x[/tex]

[tex]-x=-8[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{-8}{-1}\\[/tex]

[tex]x=8[/tex]

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