Answer:
A ∩ B = {1, 3, 5}
A - B = {2, 4}
Step-by-step explanation:
The given problem regards sets and set notation, a set can simply be defined as a collection of values. One is given the following information:
A = {1, 2, 3, 4, 5}
B = {1, 3, 5, 6, 9}
One is asked to find the following:
A ∩ B,
A - B
1. Solving problem 1
A ∩ B,
The symbol (∩) in set notation refers to the intersection between the two sets. It essentially asks one to find all of the terms that two sets have in common. The given sets (A) and (B) have the values ({1, 3, 5}) in common thus, the following statement can be made,
A ∩ B = {1, 3, 5}
2. Solving problem 2
A - B
Subtracting two sets is essentially taking one set, and removing the values that are shared in common with the other set. Sets (A) and (B) have the following values in common ({1, 3, 5}). Thus, when doing (A - B), one will omit the values ({1, 3, 5}) from set (A).
A - B = {2, 4}
Answer:
1.What is the y intercept of the function?
y-coordinate when x = 0, take from the table.
2.What is the first difference?
Difference of y-values. This is the slope
3.Write an equation to represent the function given in the table
Use the first difference and the y-intercept: b = 5, m = 2
<u>Answer
</u>
-1 x + 2y = 4
<u>Explanation
</u>
The first step is to get the gradient of the line.
The two points in the line are; (4,0) and (0,2).
slope = (2 - 0)/(0 - 4)
= 2/-4
= -1/2
To get the function we use one of the point (0,2) and a general point (x,y).
1/2 = (y - 2)/(x - 0)
1/2 = (y - 2)/x
(1/2)x = y -2
x = 2y - 4
x - 2y = -4
-1 x + 2y = 4
Answer:
Step-by-step explanation: x^2-10x+21=0
(x-7)(x-3)
x = 3,7
Answer is C.
The sample is selected at tandon from the population, but it was done on a particular day of the week. So the sample is not random.
More data should be taken, distributed on every day of the week, probably in different months.
