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Nookie1986 [14]
3 years ago
6

PLEASE HELP MEE! the table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it tak

es to cyclist to complete a bicycle tour. which rational function best models the data in the table?

Mathematics
2 answers:
sergiy2304 [10]3 years ago
5 0

Answer:

The answer is D: 96/x

Step-by-step explanation:


Alla [95]3 years ago
3 0
By definition it is known that speed equals the distance between time.
 Therefore, according to the definition, the last two options are the possible answers:
 Let's evaluate the third option:
 y = (3/2) * (1 / x)
 x = 12
 y = (3/2) * (1/12) = 3/24 = 1/8
 The table is not fulfilled
 Let's evaluate the fourth option:
 y = (96 / x)
 x = 12
 y = (96/12) = 8
 Yes, the table is met.
 answer:
 y = (96 / x)
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Help needed ASAP plz
Hitman42 [59]
Hey there!

The x-intercept is where the line crosses the x-axis. The x-axis is horizontal. It crosses the line three left from the origin, or (0,0). This is -3. The x-intercept is -3. The answer would be either B or C. The line never hits the y-axis, so the y-intercept is none. The answer is C.

I hope this helps!
4 0
3 years ago
Which fraction represents the decimal 0. ModifyingAbove 1 2 with Bar? One-twelfth StartFraction 3 Over 25 EndFraction StartFract
mestny [16]

The considered decimal number is expressed by the fraction given by: Option C: 4/33

<h3>How to convert from decimal to fraction?</h3>

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example:

0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}

(10 raised to power k = 1 followed by k zeroes)

<h3>What is the sum of an infinite geometric series?</h3>

The sum of an infinite geometric series having the initial term "a" and the multiplication per term is done by "r" such that r < 1

is given by

S_{\infty} = \dfrac{a}{1-r}

The series would look like a+ ar+ ar^2+\cdots

For the considered case, the given decimal number is

0.\overline{12} = 0.121212\cdots

We can check all the options available one by one, so as to know which one ends up giving this pattern, or we can use another technique as shown below.

0.12121...  = (0.1 + 0.001 + 0.00001 + ... ) + (0.02 + 0.0002 + 0.000002 + ... )

Each of the two series obtained are geometric series with the multiplication factor as 1/100

Using the sum formula for evaluation of an infinite geometric series, and the fact that initial term of first series is 0.1 and that of second series is 0.02, we get:
0.121212... = \dfrac{0.1}{1-1/100} + \dfrac{0.02}{1 - 1/100} = \dfrac{1}{99/100}(\dfrac{1}{10} + \dfrac{2}{100})\\0.121212...  = \dfrac{100}{99}\times(\dfrac{10}{100} + \dfrac{2}{100})\\\\\\0.121212 ... = \dfrac{12}{99} = \dfrac{4}{33}

Thus, the considered decimal number is expressed by the fraction given by: Option C: 4/33

Learn more about geometric series here:

brainly.com/question/16037289

4 0
1 year ago
-2x+15y=-24<br> 2x+9y=24
BARSIC [14]

Answer:

x = 12 and y = 0

Step-by-step explanation:

Use elimination by adding the equations together.

-2x + 15y =-24

2x + 9y =  24

---------------

24y = 0

y=0

Then substitute y = 0 into one equation to find x.

-2x + 15(0) = -24

-2x + 0 = -24

-2x = -24

x = 12

3 0
3 years ago
Let g(x) be the indicated transformation of f(x)=3x+1. vertical stretch by a factor of 2
mina [271]

The answer is

G(x) = 6x + 1

3 0
3 years ago
How do you find the inverse of a function on a graph
Yanka [14]

Answer:

visual wise: you mirror it

Step-by-step explanation:

7 0
3 years ago
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