Answer:
(12, -3)
Step-by-step explanation:
You can solve it algebraically or graphically. Graphically you find the intersection point. Algebraically with substitution/elimination.
The function f(x) represents the time it takes an airplane to travel east. The function g(x) represents the time it takes an air
1 answer:
The total time taken for round trip will be: (f+g)(x) = 14x+11
Step-by-step explanation:
Given
In order to find the round-trip time, we have to add both functions to represent the time taken to travel east and the time taken to travel to west.
Hence,
The total time taken for round trip will be: (f+g)(x) = 14x+11
Keywords: Functions, variables
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Answer:
- L(t) = 727.775 -51.875cos(2π(t +11)/365)
- 705.93 minutes
Step-by-step explanation:
a) The midline of the function is the average of the peak values:
(675.85 +779.60)/2 = 727.725 . . . minutes
The amplitude of the function is half the difference of the peak values:
(779.60 -675.85)/2 = 51.875 . . . minutes
Since the minimum of the function is closest to the origin, we choose to use the negative cosine function as the parent function.
Where t is the number of days from 1 January, we want to shift the graph 11 units to the left, so we will use (t+11) in our function definition.
Since the period is 365 days, we will use (2π/365) as the scale factor for the argument of the cosine function.
Our formula is ...
L(t) = 727.775 -51.875cos(2π(t +11)/365)
__
b) L(55) ≈ 705.93 minutes
I would minus 2 from both sides of the equation so that it becomes:
Given:
Required:
To write the given equation in slope intercept form.
Explanation:
Consider
Final Answer: