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STatiana [176]
2 years ago
15

your family is driving from cincinnati to st louis. the graph relates your distance from st.louis d in miles and travel time h (

in hours). The equation of the line is d=360-60h
Mathematics
1 answer:
rewona [7]2 years ago
6 0

The solution is about a distance-time graph. The interpretation of the graph is that it took the family 6 hours to travel a distance of 360 miles. Note that the distance is plotted on y-axis and time on the x-axis.

<h3>What is a distance-time graph?</h3>

A distance time graph is a simple graph that shows the relationship between the time travelled the distance covered while doing do.

The slope-intercept form is

y= mx+b−⋯(1)

The y-intercept is 360

⇒b = 360; and m = −60

Substituting the value of m = −60

and b = 360

in (1) above,

⇒y = −60x  +360

The x-intercept is

y = 0,

⇒0= −60x+360

hence, x=6

The y-intercept is

x=0

⇒y=−60(0)+360

⇒y=360

In conclusion, the x - intercept is the time in hours between Cincinnati and St. Loui: and

The  y - intercept is the distance between Cincinnati and St. Louis.

Learn more about distance-time graphs at:
brainly.com/question/13877898
#SPJ1

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valentina_108 [34]

Answer:

n(B)=21.

Step-by-step explanation:

n(AUB) means the the number of elements in both A & B. And that includes                  the ones in common too.

n(A∩B) means the ones that in common.

n(A-B) refers to the elements that belong to A alone. That means the elements in A excluding the common elements.

n(B) is the number of elements that belong to B and that includes the common ones too.

Now coming to your question.

The total number of elements that can fit in both the sets is 36.

While the number of common elements is 16.

And also given that n(A-B)=15.

Now according to the definitions above....n(A) should include the ones that belong exclusively to A alone and also the ones in common.

So,

n(A)=n(A-B)+n(A∩B)

       =15+16

       =31

Therefore, n(A) is 31.

Now when n(AUB) is 36 and n(A) is 31, it is clear that the elements exclusive  to B alone is 5, i.e.36-31.  

Now n(B)=n(A∩B)+n(B-A)

Therefore, n(B) is 16+5 = 21.

n(B)=21.

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Answer:

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Step-by-step explanation:

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