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Slav-nsk [51]
3 years ago
14

he graph represents the journey of a bus from the bus stop to different locations: The title for the graph is Bus Journey. The l

abel on the y-axis is Distance in miles, and the label on the x-axis is Time in hours. The graph shows 5 parts. The part labeled 1 is a smooth curve going up from the origin. The part labeled 2 is a straight horizontal line. The part labeled 3 is a smooth curve going down. The part labeled 4 is a straight horizontal line. The part labeled 5 is a smooth curve going down that touches the x-axis. Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points) Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points) Part C: Is the graph linear or non-linear? Explain your answer. (2 points)
Mathematics
2 answers:
atroni [7]3 years ago
6 0

Step-by-step explanation:

Part A:

1 - The bus increases it's journey.

2 - Journey is always the same

3 - The bus decreases it's journey.

4 - Journey is always the same.

5 - Journey decreases a lot.

Part B:

The function increases in the part that show a line with a curve going up, decreases in the part that shows a line with a curve going down and the function is constant when the line is straight and horizontal.

Part C:

Some parts are linear (the ones that are straight and don't contain any slopes).

Some parts are non-linear (the ones that aren't straight and contain slopes).

Hope This Helps

Archy [21]3 years ago
4 0
Part 1) Smooth curve going up the Origin, means, the distance of the bus is increasing with increase in time. In other words, Bus is in the motion.

Part 2) Distance is constant here & Bus is not moving at all.

Part 3) Distance is decreasing, means bus in moving in opposite direction, and it is said to be the negative displacement.

Part 4) Again, The Distance is constant here & Bus is not moving at all.

Part 5) Here, Displacement is negative, which means bus is moving in the opposite direction and reached the starting point.

Part B) It is Increasing at: Part 1
It is decreasing at: Part 3 & 5
It is constant at: Part 2 & 4

C.) Graph is non-linear, as it shows deviation through the complete journey of the Bus.

Hope this helps!
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Elizabeth lives in San Francisco and works in Mountain View. In the morning, she has 3 transportation options (take a bus, a cab
Lesechka [4]

Answer:

4/9

Step-by-step explanation:

The possibilities of transportation: (The first will be for morning, second will be for afternoon)

B, B

B, C

B, T

C, B

C, C

C, T

T, B

T, C

T, T

It is clearly seen that there are 9 transportation options.

(Using cab 1 time we have BC, CB, CT, TC. So four of the transportation methods use cab one time.)

Therefore, the probability that she will use a cab only once is 4/9.  

6 0
3 years ago
Which equations are true for x = –2 and x = 2? Select two options
fomenos

Answer:

Number 1 and Number 4

Step-by-step explanation:

By factoring, you can figure out the roots (x = -2 or x = 2)...

1. x^2 - 4 = 0

--> (x + 2)(x - 2) = 0

--> x = -2, x = 2

2. x^2 + 4 = 0

--> factors weirdly, so I won't write it. You'd have to use the quadratic formula.

3. 3x^2 + 12 = 0

--> 3 (x^2 + 4) = 0

--> factors weirdly (same as above)

4. 4x^2 - 16 = 0

--> 4 (x^2 - 4) = 0

--> 4 (x+2) (x-2) = 0

--> x = -2, x = 2

5. 2 (x-2) 2 = 0

--> x = 2

7 0
2 years ago
Y=4x-6 proportional?
yawa3891 [41]
y=4x-6 so 4x-6 is = 2x so y=2
7 0
3 years ago
Please helpp middle school math<br><br>suppose 4&lt;a&lt;7. find all the possible values of 15-2a​
bixtya [17]

9514 1404 393

Answer:

  1 < 15 -2a < 7

Step-by-step explanation:

There are a couple of ways you can do this.

1) Put the minimum and maximum values of a into the expression to see what its corresponding values are:

  15-2a for a=4:

     15-2(4) = 7

  15-2a for a=7:

     15-2(7) = 1

Then ...

  1 < 15-2a < 7

__

2) Solve for a in terms of the value of 15-2a, then impose the limits on a.

  x = 15 -2a

  2a = 15 -x

  a = (15 -x)/2

Now, impose the given limits:

  4 < (15 -x)/2 < 7

  8 < 15 -x < 14 . . . multiply by 2

  -7 < -x < -1 . . . . . . subtract 15

  7 > x > 1 . . . . . . . . multiply by -1

  1 < 15-2a < 7 . . . . . use x=15-2a

_____

The vertical extent of the attached graph is the range of possible values of 15-2a. It goes from 1 to 7.

8 0
3 years ago
The graph shows the distance y, in inches, a pendulum moves to the right (positive displacement) and to the left (negative displ
ddd [48]

Answer:

<h2>1 second.</h2>

Step-by-step explanation:

The graph is showing a periodic movement, which is the case of the movement of a pendulum. The x-axis represents the equilibrium point, that is y=0. So, each extreme point is where the pendulum immediately stops an return, So, we just have to observe what time it takes intercepting the axis twice in a row.

So, we see that at x=0.5, the pendulum is at equilibrium point, then at x=1.5 is crossing immediately again the equilibrium point. The time that took from 0.5 to 1.5 is 1 second, that is, 1.5-0.5 = 1 second.

Therefore, it takes 1 second to move from its resting point and return.

5 0
3 years ago
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