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telo118 [61]
2 years ago
9

20-%204%29%20" id="TexFormula1" title="( {x}^{3} - 8 {x}^{2} + 19x - 9) \div (x - 4) " alt="( {x}^{3} - 8 {x}^{2} + 19x - 9) \div (x - 4) " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Anna [14]2 years ago
6 0

(x^3-8x^2+19x-9)\div(x-4)=x^2-4x+3\\\underline{-x^3+4x^2}\\=-4x^2+19x\\\underline{\ \ \ \ \ 4x^2-16x}\\.\ \ \ =3x-9\\\underline{\ \ \ \ \ -3x+12}\\.\ \ \ \ \ =\ 3

x^3-8x^2+19x-9=(x^2-4x+3)(x-4)+3



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The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. a 2-co
Ann [662]

The estimated number of lines of code written by computer programmers per hour when x people are working & the correct option is  y = 27x - 4.

Table  showing the estimated number of lines of code written by computer programmers per hour when x people are working & option given   y= 47 * 1.191ˣ     y= 34 * 1.204ˣ    y=26.9x - 1.3    y = 27x - 4

To Choose the model which best represents the data.

<h3>What is choosing the best model data?</h3>

To understand a set of data, it is helpful to organize it and provide summary descriptions of the set.

People Working   lines of code

2                             50

4                             110

6                            160

8                            210

10                           270

12                           320

x      y= 47 * 1.191ˣ    y= 34 * 1.204ˣ    y=26.9x - 1.3   y = 27x - 4

2       66.66               49.3                   52.5                 50

4       94.57               71.44                  106.3                104  

6      134.14                103.57               160.1                 158

8      190.27               150.14                213.9               212

10     269.91              217.64               267.7               266

12     382.85             315.5                  321.5               320.

Below    2              0                         4                        1

on line    0              0                         0                       2  

Above     4               6                         2                       3

Therefore  y = 27x - 4 is the best fit

To learn more about the scatterplot visit:

brainly.com/question/26270713

3 0
1 year ago
Andre has enough to fill 3500 in.3.. he decides to change the length of the step so that he will use all of the cement. What wil
Mrac [35]

Answer:

43.75 inches or 43 and 3/4 inches.

Step-by-step explanation:

Ok, thanks for the complement of information.

So, to find the volume of that step, which is a rectangular prism, we would use the simple formula:

V = length *  width * height

In this case, we have the total volume (3,500 cu in), we have the width (10 inches)  and we have the height (8 inches).  But we need to find out the new length in order for him to use all 3,500 cu in of cement.

So, we transform the formula above into:

length = V / (width * height)

then we plug-in the numbers:

length = 3,500 / (8 x 10) = 3,500 / 80 = 43.75

So, the new length of the step would be 43.75 inches or 43 and 3/4 inches.

7 0
2 years ago
The following numbers of people attended the last 10 screenings of a movie.
sdas [7]

110 and 294 are the outliers because their difference in value from other data is large.

<h3>What are outliers?</h3>
  • An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.

<h3>sample of data</h3>

Given the sample data 110, 196, 197, 199, 205, 208, 209, 210, 210, 294, we need to get the outliers that are an observation that lies an abnormal distance.

From the data, we can see clearly that 110 and 294 are the outliers. Their difference in value from other data is large.

Learn more on outliers here: brainly.com/question/2749543

6 0
2 years ago
The width of a rectangle is two cm less than 8 times the length. The perimeter is 88 cm. What is the width and length of the rec
kati45 [8]

Let's the length to be x,

then the width is 8x - 2.

Perimeter of a rectangle = 2*Width + 2*Length

Perimeter of the rectangle = 2(8x-2) + 2x = 16x - 4 + 2x = 18x - 4

Ar the same time, Perimeter of the rectangle = 88.

So, we can write

18x - 4 = 88

18x = 84

9x=42

x= 42/9 cm (length) or ≈ 4.67 cm (length)

8x - 2 = 8*42/9 - 2 ≈ 35.33 cm (width)


6 0
3 years ago
Which of the following are valid names for the given triangle? Check all that apply.
vfiekz [6]
When naming triangles we name them by the letters on each corner so only answers with T, A, and X in them are correct, so TAX, XTA, and AXT
6 0
2 years ago
Read 2 more answers
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