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1 year ago

Consider the table representing a rational function.

Mathematics

2 answers:

g100num [7]1 year ago

8 0

Answer:

The function has a hole when x = 0 and a vertical asymptote when x = 4.

Step-by-step explanation:

ratelena [41]1 year ago

4 0

Answer:

The function has a hole when $x=0$ and a vertical asymptote when $x=4$ .

Step-by-step explanation:

We have been given a table that represents values of a rational function. We are asked to choose the statement that describes the graph of the function.

We can see from our given table that at $x=0$ and $x=4$ function is undefined.

We can also see that that the value of function to the left of 0 is $-0.244$ and the value of function to the right of 0 is $-0.256$ . This means that function has a point discontinuity that is at $x=0$ is zero for both numerator and denominator. Therefore, the function has hole at $x=0$ .

Upon looking at table we can see the value of function to the left of 4 is $-100$ and the value of function to the right of 4 is $100$ . This means that function is approaching to different directions around $x=4$ . Therefore, the function has a vertical asymptote at $x=4$ .

Therefore, option D is the correct choice.

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Each of 16 students measured the circumference of a tennis ball by four different methods, which were:Method A: Estimate the cir

lys-0071 [83]

Answer:

a) $\bar X_A =22.744$

$\bar X_B =20.7$

$\bar X_C =21.013$

$\bar X_D =18.306$

b) $Median_A =\frac{23+24}{2}=23.5$

$Median_B =\frac{20.4+20.4}{2}=20.4$

$Median_C =\frac{21+21}{2}=21$

$Median_D =\frac{20.7+20.7}{2}=20.7$

c) $\bar X_A =23.25$

$\bar X_B =20.7$

$\bar X_C =21.04$

$\bar X_D =20.69$

Step-by-step explanation:

Data given

Assuming the following data:

Method A: 18.0, 18.0, 18.0, 20.0, 22.0, 22.0, 22.5, 23.0, 24.0,24.0,25.0,25.0, 25.0,25.0,26.0,26.4

Method B: 18.8, 18.9, 18.9, 19.6, 20.1, 20.4, 20.4, 20.4, 20.4,20.5, 21.2. 22.0,22.0, 22.0,22.0,23.6

Method C: 20.2, 20.5, 20.5, 20.7, 20.8, 20.9, 21.0, 21.0,21.0,21.0, 21.0, 21.5,21.5,21.5,21.5,21.6

Method D: 20.0, 20.0, 20.0,-20.0, 20.2, 20.5, 20.5, 20.7, 20.7,20.7, 21.0, 21.1, 21.5, 21.6, 22.1,22.3.

Part a

The sample mean is defined as:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

If we apply this formula for the four methods we got:

$\bar X_A =22.744$

$\bar X_B =20.7$

$\bar X_C =21.013$

$\bar X_D =18.306$

Part b

Since the total number of points for each method is 16 and this is an even number we need to calculate the median as the average between the 8th and the 9th position of the data ordered from the smallest to the largest. If we do this we have that:

$Median_A =\frac{23+24}{2}=23.5$

$Median_B =\frac{20.4+20.4}{2}=20.4$

$Median_C =\frac{21+21}{2}=21$

$Median_D =\frac{20.7+20.7}{2}=20.7$

Part c

The trimmed mean by 20% means that we need to calculate removing the 20% from each of the tails, the 20% of 16 is 3.2, so we need to remove 3 observations from both ends of the data like this:

Method A: 20.0, 22.0, 22.0, 22.5, 23.0, 24.0,24.0,25.0,25.0, 25.0

Method B: 19.6, 20.1, 20.4, 20.4, 20.4, 20.4,20.5, 21.2. 22.0,22.0

Method C: 20.7, 20.8, 20.9, 21.0, 21.0,21.0,21.0, 21.0, 21.5,21.5

Method D: 20.0 20.2, 20.5, 20.5, 20.7, 20.7,20.7, 21.0, 21.1, 21.5.

If we calculate the mean for each method we got:

$\bar X_A =23.25$

$\bar X_B =20.7$

$\bar X_C =21.04$

$\bar X_D =20.69$

3 0

1 year ago

Hannah's school hosted a book donation. There are 150 students at her school, and they donated a total of b books! Hannah donate

svetoff [14.1K]

Answer:

$x=3*\dfrac{b}{150}$

Step-by-step explanation:

Let x = number of books that Hannah donated

We know that the number of students is 150 and the total number of books is represented by b, we can write that as:

Average number of books donated by each student = $\dfrac{b}{150}$

Now we know that Hannah donated 3 times as much as the average. We can write that as:

$x=3*\dfrac{b}{150}$

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1 year ago

The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price

BaLLatris [955]

For product A, the product is increasing, for the bigger the number you plug into x (due to the fact that the numbers become bigger because of the time: year 1, year 2, etc)
Product A is 82% change rate, while
product B is 983.45/4 = 245.8625, 1756.16/3 = <span>585.3867</span>
Product B is 245.8625/585.3867
product B is 42% change rate

Product A change rate is higher than Product B by 40%

hope this helps

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1 year ago

An airplane flew at an average rate of 600 miles per hour from Tokyo to Seattle. Because of a strong headwind, the average rate

Dvinal [7]

600t = 480(18 – t) should be it

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1 year ago

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A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form e

sasho [114]

M=slope
In this case the slope would be $25
y=mx+b
y=25x+45

Answer: m=25

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2 years ago

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