We have when or , so we need to check the sign of on 3 intervals:
- Suppose . In particular, let . Then . Since is negative on this interval, we have as .
- Suppose , say . Then , so that as .
- Suppose , say . Then , so that as .
We can summarize this behavior as in the attached plot. The arrows on the -axis indicate the direction of the solution as . We then classify the solutions as follows.
- is an unstable solution because on either side of , does not converge to the same value from both sides.
- is a semi-stable solution because for , solutions tend toward the line , while for solutions diverge to negative infinity.
Answer:
10 i believe
Step-by-step explanation:
Because the polynomial has degree 2, we can assume that there are 2 solutions (roots), whether real or imaginary.
You can subtract 60 in order to put this in standard form
48x^2+44x-60 = 0
From there, just put a,b, and c into the quadratic formula and you're good to solve for your answers.
(-b+-sqrt(b^2-4ac))/2a
(-44+-sqrt(44^2-4(48)(-60)))/2(48)
Then solve.
There is probably a better way, but this should give you the two roots/solutions.
Answer:
60%
Step-by-step explanation:
So, this question is saying the bowls can be between a diameter of 6.95 and 7.05
Box 1, 3 and 5 are in this margin.
Box 2 and 4 are not.
3/5 boxes can be included.
3/5 is 6/10
6/10 is 60%
Answer:
35 dozen cookies
Step-by-step explanation: