Answer:
(a) -3
Step-by-step explanation:
The value of f(x) approaches 3cos(π) = -3 as x approaches π from either direction. The limit is -3.
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<em>Additional comment</em>
The fact that the function is defined to have a different value at x=π simply means there is a jump discontinuity there. The function is <em>not continuous</em>, because the limit and the function value differ. That doesn't detract from the fact that there is a limit, and it is -3.
To find the relation between them, you need transform them to the same currency. Let's transform them to cents.
$3.60 = 360 cents.
One quarter is 25 cents, and one nickel is 5 cents.
So 360 = 25q + 5n
Hope this helps! :D
Answer:
We conclude that the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.
Hence, option D is true.
Please check the attached graph.
Step-by-step explanation:
Given the parent function
y = x²
Given the transformed function
y = (x - 12)²
Horizontal Translation:
The horizontal translation of y = x² is of the form
f(x-h)
so y = y = (x - 12)² means y = x² is shifted 12 right.
Vertical Translation:
y = x²
Then y = x² + b is a vertical translation of y = x²
if b > 0, then y = x² + b is the graph of y = x² 'b' units up.
if b < 0, then y = x² + b is the graph of y = x² 'b' units down.
Thus, y = x² + 3 means the graph y = x² is vertically shifted up by 2 units.
Please check the attached graph.
-
The blue graph is representing the graph of y = x².
- The red graph is representing the graph of y = (x - 12)²+3
Therefore, the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.
Hence, option D is true.
Answer:
4 inches.
Step-by-step explanation:
The distance in units from 2 to -2 is 4.
Answer:
$27.50
Step-by-step explanation:
55*50%
=55*1/2
=55/2
=27.5