using the table below give 3 scenarios in real life where you can apply the lesson that you have studied.
1 answer:
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Answer:
The equation of the line with a slope of 1/5 that passes through the point (10,9) is:
Step-by-step explanation:
Given
Slope = m = 1/5
Point (10, 9)
To Determine
An equation of the line with a slope of 1/5 that passes through the point (10,9).
We know that the point-slope form of the line equation is
where
- m is the slope of the line
- (x₁, y₁) is the point
substituting the values m = 1/5 and the point (10, 9) in the equation
Add 9 to both sides
Therefore, the equation of the line with a slope of 1/5 that passes through the point (10,9) is:
Answer:
C. The sequence is monotonic and bounded. The limit is 5/9
Step-by-step explanation:
For this case we have the following n term:
And we can find the limit when x tend to infinity:
And we got this:
Now we can divide by n the numerator and denominator like this:
And now we can apply properties of limits and we got this:
And we got:
So then our sequence is bounded by
By definition a monotonic sequence is a "sequence that is always increasing or decreasing".
For this case if we find:
We see that and in general we see that
. So then the ebst answer for this case is:
C. The sequence is monotonic and bounded. The limit is 5/9