Answer:
(d) f(x) = (x − 3)^2(x − 2)(x − 1)
Step-by-step explanation:
In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.
A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...
f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice
9514 1404 393
Answer:
5x -y = -37
Step-by-step explanation:
One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:
A = Δy = y2 -y1 = 2 -(-3) = 5
B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1
Then the constant C can be found using either point.
5x -y = 5(-7) -2 = -37
The equation of the line is ...
5x -y = -37
_____
<em>Additional comment</em>
This approach comes from the fact that the slope of a line is the same everywhere.
The "standard form" requires that A be positive, so we chose point 1 and point 2 to make sure that was the case.
Answer:
76.75
Step-by-step explanation:
83.5 + 70= 153.5
153.5 / 2 = 76.75
Your grade would be 76.75.
HOPE THIS HELPED
Answer:
The type of sampling used is the Cluster sampling technique.
Step-by-step explanation:
- Random Sampling
In random sampling, each passenger would have an equal chance of being surveyed. If this particular scenario wanted to use random sampling, they would have used computer generated random passenger numbers and surveyed them, not just passengers all on the same bus picked randomly.
- Systematic sampling is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth passengers is picked to be sampled.
- Convenience Sampling
This is the worst sampling technique. It is also the easiest. In Convenience sampling, the surveyor just surveys the first set of passengers that they find.
- Stratified Sampling
Stratified sampling divides the population into groups called strata. A sample is taken from each of these strata using either random, systematic, or convenience sampling.
- Cluster sampling
Cluster Sampling divides the population into groups which are called clusters or blocks (the different buses). The clusters are selected randomly, and every element in the selected clusters is surveyed (each passenger on the selected buses, is surveyed!). Evidently the answer to the question!
