The graph below describes the journey of a train between two cities
2 answers:
Answer:
200km/h^2, 125km, 62.5km/h
Step-by-step explanation:
For part a) just use the acceleration formula (change in velocity/time). For part b), remember that distance traveled is the area under the graph. This is because displacement is the integral of velocity, meaning that you integrate to find the area (i.e. displacement). Lastly, for part c), just apply speed = distance/time because in this case, acceleration is constant.
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Answer:
Step-by-step explanation:
Given
See attachment for MNPQ and RSTU
Required
Find x and y
To solve this question, we make use of equivalent ratios of corresponding side lengths.
The ratio of corresponding sides are:
From the attachment, we have:
To solve for x, we equate and
Express as fraction
Make x the subject
To solve for y, we equate and
Express as fraction
Make y the subject
Given:
The function is:
To find:
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.
Solution:
a. We have,
...(i)
The slope intercept form of a line is:
...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
Therefore, the slope of the line is -2 and the y-intercept is 1.
b. If the slope of a linear function is negative, then the function is decreasing.
If the slope of a linear function is positive, then the function is increasing.
If the slope of a linear function is 0, then the function is constant.
The slope of the linear function is negative.
Therefore, the function is decreasing.
c. We have,
At , we get
So, the y-intercept is at (0,1).
At , we get
So, the x-intercept is at .
Plot the points and connect them by a straight line as shown below:
