Point X is located at 11 on the number line. Point Y is 5 less than point X. Where on the number line is point Y?
1 answer:
You might be interested in
Answer:
1. 24
2. where n denotes number of days.
3. 70
Step-by-step explanation:
1.
Consider the sequence:
Here,
Take the common difference as d = 2 and the first term as a = 12
Use the formula:
To find expected gain at the end of the week, find
2.
Yes, the gain shows the pattern.
Put in
Here, n denotes number of days.
3.
To find expected gain at the end of 30 days, put in
(i) To show that a piecewise function is continuous at a point, we need to show that the left hand and right hand limit "agree" with each other. In other words, we want:
Now, since we're given the constraints and the equation of each constraint, we notice that 6061^+ is a number that is slightly bigger than 6061. So we use the second equation. Do you see why?
In much the same way, 6061^- is a number that is slightly smaller than 6061. So we use the first equation. Again, do you see why? (Hint: look at the conditions on x for each equation).
So finally, computing each limit means just "plugging" 6061 into their respective equations. That is:
Since your limits match, we say that, at the point x = 6061, T(x) IS continuous.
(ii) Repeat the process above with x = 32473.
(iii) Find a point of discontinuity just means your right hand and left hand limits do not match -- I'm not an economist, so I may not be of much help with the latter part of the question!