Start the graph at the <em>y</em>-intercept. At 0 hours, he will make $0, so (0, 0) is the <em>y</em>-intercept. From this point, he makes $8.10 an hour; go up 8.1 for every 1 hour you go over on the graph. The graph is attached.
Lexus skateboards from his house to school 4 miles away. It takes him 20 minutes.
2 answers:
Answer:
Step-by-step explanation:
<u>Proportional Model</u>
The number of miles m that Lexus can skateboard in t minutes can be modeled by:
m = kt
It's given that Lexus skateboard from his house to school for a distance of m=4 miles in t=20 minutes.
Substituting:
4 = k.20
Dividing by 20
Simplifying:
This produces the model
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Answer:
2nd debate was 3 hours long.
Step-by-step explanation:
We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.
Let us find the estimate of time spent on 2nd debate.
1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.
Therefore, the estimated time is less 4 hours.
To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.
First of all, we will convert mixed fractions into improper fractions as:
Now, we will multiply both fractions as:
Therefore, the 2nd debate was 3 hours long.
We are given coordinates of the triangle: A(2,2), B(7,1) and C(8,-4).
We need to rotated 90° counterclockwise about the origin.
In order to find the new coordinates of rotatation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).
Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.
In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.
On applying rule (h, k) ---> (-k,h), we get
A(2,2) --> A'(-2,2)
B(7,1) --> B'(-1,7)
C(8,-4) --> C'(4,8)
