If I run a mile in a constant 5.5 minutes. How long will it take me to run a marathon (26 mi)?
1 answer:
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We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is . The graph of the function does not show a phase shift. We are asked to write the equation of our function.
We know that general form a cosine function is , where,
A = Amplitude,
= Period,
c = Horizontal shift,
d = Vertical shift.
The equation of parent cosine function is . Since function is reflected about x-axis, so our function will be
.
Let us find the value of b.
Upon substituting our given values in general cosine function, we will get:
Therefore, our required function would be .
Answer:
Bus B travel faster
Step-by-step explanation:
The graph of the question in the attached figure
we know that
the linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept
x ---> is the time in hours
y ---> is the distance in miles
In this problem we have
Bus A
The slope of the linear equation represent the speed of the bus
so
The speed of bus A is
Bus B
Find the slope
take two points from the graph
(0,0) and (3,200)
The formula to calculate the slope between two points is equal to
substitute
Compare the slope Bus A with the slope Bus B
therefore
Bus B travel faster
