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anzhelika [568]
3 years ago
6

Write an equation for a rational function with: vertical asymptotes at x = -4 and x = 4 x-intercepts at x = -6 and x = 5 horizon

tal asymptote at y = 8

Mathematics
1 answer:
Alla [95]3 years ago
4 0
Attached the solution and work.

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3 years ago
Riding a bike a person takes 20 minutes to go to work. The trip back home takes 30 minutes. If the rate back is 8 mph slower tha
Ghella [55]
<h2>Answer:</h2>
  • Trip to work has rate:  24 mph
  • Trip back to home has rate: 18 mph
  • Distance to work is:  480 m
<h2>Step-by-step explanation:</h2>

We know that speed is defined as the ratio of distance to time.

i.e.

Speed=\dfrac{Distance}{Time}

Let the distance traveled to work be: x m.

Now, while going to work it takes a person 20 minutes.

This means that the speed of the person while going to work is:

S_1=\dfrac{x}{20}

Also, the time taken to come back home is: 30 minutes.

This means that the speed of person while riding to home is:

S_2=\dfrac{x}{30}

Also, it is given that  the rate back is 8 mph slower than the trip to work.

This means that:

S_1-S_2=8

i.e.

\dfrac{x}{20}-\dfrac{x}{30}=8\\\\i.e.\\\\\dfrac{30x-20x}{600}=8\\\\i.e.\\\\\dfrac{10x}{600}=8\\\\i.e.\\\\\dfrac{x}{60}=8\\\\i.e.\\\\x=480\ \text{m}

Hence, the distance to work is:  480 m.

Also, the rate while going to work is:

=\dfrac{480}{20}\\\\=24\ \text{mph}

and the trip back to home is covered with the speed:

=\dfrac{480}{30}\\\\=16\ \text{mph}

6 0
3 years ago
Question Help
Talja [164]
Length:12 cm
Width: 7 cm

My work is shown in the picture. I hope this helps!

8 0
3 years ago
graph of a function is alone that passes through the points (0,1) and (3,10) write an equation in the form y=Mx+b. For this func
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Answer:

y = 3x + 1

Step-by-step explanation:

(0,1) so that is the b

the rate of change is 9/3 so the m is 3

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Determine the absolute value of 5.<br> A) -5 <br> B) 0 <br> C) 10 <br> D) 5
dolphi86 [110]
D
You figure out the absolute value by determining how far the number is from the point 0 on a number line.
8 0
3 years ago
Read 2 more answers
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