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Marizza181 [45]
3 years ago
14

Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average spe

ed of x miles per hour?
y= x/6.4
y= x/160
y= 6.4/x
y= 160/x​

Mathematics
2 answers:
AVprozaik [17]3 years ago
7 0

Answer:

y=\frac{x}{6.4}

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem, we have a proportional relationship between the average speed (x) and the time (y)

Find the constant of proportionality k

Fox =32, y=5

k=\frac{5}{32}

substitute

y=\frac{5}{32}x

we have

\frac{5}{32}=\frac{1}{6.4}

therefore

y=\frac{x}{6.4}

erik [133]3 years ago
7 0

Answer:

the answer is D, y= 160/x

Step-by-step explanation:

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<h3>Answer: Choice D </h3>

=======================================================

Explanation:

Let's go through the answer choices one by one to see which are true, and which are false.

  • Choice A) This is true because as we approach x = 2 from the left hand side, the y values get closer to y = 1 from the top
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  • Choice C) This is true also. The function is continuous at x = -3 due to no gaps or holes at this location, so that means its limit here is equal to the function value.
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Solve the system of equations. Show your work.<br> y = x^2 -3x +4 <br> x + y = 4
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Answer:

x + y = 2 ,  y = x 2 − 4 x + 4

Replace all occurrences of  

y

with  x 2 − 4 x + 4

in each equation.

x 2 − 3 x + 4 = 2 y = x 2 − 4 x + 4

Solve for  

x

in the first equation.

x = 2 , 1 y = x 2 − 4 x+ 4

Replace all occurrences of  

x  with  2

in each equation.

y=0 x = 2

Replace all occurrences of  x

with  1

in each equation.

y = 1 x = 1

The solution to the system is the complete set of ordered pairs that are valid solutions.

( 2 , 0 ) ( 1 , 1 )

The result can be shown in multiple forms.

Point Form:

( 2 , 0 ) , ( 1 , 1 )

Equation Form:

x=2 , y = 0 x = 1 , y = 1

Step-by-step explanation:

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