Answer: Choice A -- f(x) = (1/3)*|x|
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The input of a function is x and the output is y = f(x)
To vertically compress a function, we will multiply the y value by some fraction smaller than 1. This is so that the y coordinates are a fraction of what they once were.
In this case, we multiply y by 1/3 so that something that has a y coordinate of y = 81 becomes y = 27 (divide by 3)
So we have y = f(x) become (1/3)*y = (1/3)*f(x) = (1/3)*|x|
Answer:
B. Age of student
D. Time taken to run 1 mile
Step-by-step explanation:
From the list of given options, only B and D satisfy the required condition.
One unique determinant of continuous data is that; they are measured and not counted.
Now, let's categorize option A to D into two
1. Counted data
2. Measured data
Options that fall into the category of measured data are said to be continuous data.
A. Concert attendance; The number of people in a concert is counted
B. The age of a student is measured (in years)
C. Number of pens in a box is counted
D. Time taken to run 1 mile is measured (in units like seconds, minutes, hours, etc...)
In summary; we have
Counted
A. Concert Attendance
C. Number of pens in a box
Measured
B. Age of a student
D. Time taken to run 1 mile
Hence, the continuous data are Age of a student and Time taken to run 1 mile
Answer:
(0,-9)
Step-by-step explanation:
The image of a point 
over a line 
is given by the co-ordinate rule:
→ 
So, when we reflect a point over the line , the x co-ordinate and y co-ordinate change their places.
Here, is 
. So, from the above rule, after reflection over the line , the image has the following co-ordinates:
Answer:
672
Step-by-step explanation:
Formula is length times width times height
14 x 8 = 112
112 x 6 = 672
