Th Write an explicit formula for an, the n term of the sequence 11, 9,7
1 answer:
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Answer:
Option D
Step-by-step explanation:
See attached image
We have to see how many times 130 fits into 1494.23:
So now we have to multiply this by the amount of time needed for 130 meters:
11.4940*1=11.4940.
So the answer is 11.4940 minutes.
So now we have to multiply this by the amount of time needed for 130 meters:
11.4940*1=11.4940.
So the answer is 11.4940 minutes.
To show that the ratio is not constant for the function
we only need to evaluate this function at 2 points and then show that the ratio is not the same for those two points. Note that here
represents
.
To find the counter examples here, I will use the values and
. For
, the equation tells us that the output is
. For this value of
the point is point is
. The ratio
. For the
,
. For this value of
the point is
. The ratio
. Clearly this ratio is not constant for all ordered pairs.
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
While the point-slope equation of a line is given by:
Where:
m: It's the slope
It is a point through which the line passes
In this case we have a line through:
(8,4) and (0,2)
Therefore, its slope is:
Its point-slope equation is:
Then, we manipulate the expression to find the equation of the slope-intersection form:
Therefore, the cut-off point with the y-axis is
ANswer: