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2 years ago

The function f(x) is the cost of renting a car where x represents the number of miles driven.

Mathematics

1 answer:

Ghella [55]2 years ago

6 0

Answer:

The correct option is the third: All positive real numbers

Step-by-step explanation:

The domain of this function are all possible values that x can take. If we are talking about the number of miles traveled, these can be as many as the client travels (20.5, 670.23, etc), or zero, if not traveled any. But x can never be less than zero, since it would be absurd for a customer to have traveled -20 miles, for example. Therefore x can take any positive value. The domain of the function is

x> 0

The correct option is the third: All positive real numbers

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Subtract −7n+2 from 2n−1 .

Wittaler [7]

The correct answer is -5n+1

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2 years ago

Read 2 more answers

Blake watched of a movie on Friday, of the movie

xeze [42]

Answer:

1/3

Step-by-step explanation:Because he split the movie into 3 parts

7 0

3 years ago

Please answer this correctly

Alex Ar [27]

Answer:

Area of the figure = 254.5 cm²

Step-by-step explanation:

Area of rectangle = Length × Width

Area of triangle = 1/2(base × Height)

Dividing the figure into parts for convenience

So,

Rectangle 1 (the uppermost):

4 × 6 = 24 cm²

Rectangle 2 (below rectangle 1):

15 × 8 = 120 cm²

Rectangle 3 (with rectangle 2):

11 × 4 = 44 cm²

Triangle 1 :

1/2(7 × 19) = 133/2 = 66.5 cm²

Now adding up all to get the area of the figure:

Area of the figure = 24 + 120 + 44 + 66.5

Area of the figure = 254.5 cm²

5 0

2 years ago

Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)

Bezzdna [24]

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula $y = mx + b$ . We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of the given points into it. Then, simplify to find the slope, or $m$ :

$m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1$

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula $y-y_1=m(x-x_1)$ and substitute values for $m$ , $x_1$ , and $y_1$ . From there, we can convert the equation into slope-intercept form.

Since $m$ represents the slope, substitute 1 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

$y-3=1(x-0)\\y-3 = x\\y = x + 3$

8 0

2 years ago

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below

mafiozo [28]

Answer:

a) $\bar X = 369.62$

b) $Median=175$

c) $Mode =450$

With a frequency of 4

d) $MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5$

e) $s = 621.76$

And we can find the limits without any outliers using two deviations from the mean and we got:

$\bar X+2\sigma = 369.62 +2*621.76 = 1361$

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

Step-by-step explanation:

We have the following data set given:

49 70 70 70 75 75 85 95 100 125 150 150 175 184 225 225 275 350 400 450 450 450 450 1500 3000

Part a

The mean can be calculated with this formula:

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

Replacing we got:

$\bar X = 369.62$

Part b

Since the sample size is n =25 we can calculate the median from the dataset ordered on increasing way. And for this case the median would be the value in the 13th position and we got:

$Median=175$

Part c

The mode is the most repeated value in the sample and for this case is:

$Mode =450$

With a frequency of 4

Part d

The midrange for this case is defined as:

$MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5$

Part e

For this case we can calculate the deviation given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 621.76$

And we can find the limits without any outliers using two deviations from the mean and we got:

$\bar X+2\sigma = 369.62 +2*621.76 = 1361$

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

5 0

2 years ago

The function ​f(x)​ is the cost of renting a car where x represents the number of miles driven.

The function f(x) is the cost of renting a car where x represents the number of miles driven.