1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OleMash [197]
2 years ago
8

Consider the sets A = {4,6,8} and B = {4,5,6} Find Ax B (b) Find the power set AB)​

Mathematics
1 answer:
katrin [286]2 years ago
7 0

a) A × B is the Cartesian product of A and B, given by the set

A × B = {(a, b) | a ∈ A and b ∈ B}

Then for A = {4, 6, 8} and {4, 5, 6}, we have the product

A × B = {(4, 4), (4, 5), (4, 6), (6, 4), (6, 5), (6, 6), (8, 4), (8, 5), (8, 6)}

b) The power set of a set X is the set containing all subsets of X. I'm not sure what you're asking to find the power set of, though. Hopefully it's not of A × B, since that would contain 2⁹ = 512 elements...

Instead I'll assume you mean a simpler set, such as A ∩ B. The intersection of A and B is

A ∩ B = {4, 6, 8} ∩ {4, 5, 6} = {4, 6}

and has only 2 elements, so its power set has 2² = 4 elements (much more manageable!) and is the set

Pow(A ∩ B) = {{}, {4}, {6}, {4, 6}}

You might be interested in
Which statements are true? Check all that apply.
mariarad [96]

Answer:

A, B, and C

Step-by-step explanation:

A) We can see if this is a horizontal line if its slope is 0. Slope is change in y divided by change in x, so: slope = \frac{7-7}{3-(-2)} =\frac{0}{5} =0 . Thus, this is a horizontal line and the statement is correct.

B) Any equation of the form x = k, where k is a constant, will always be a straight line. Let's see if it goes through (-8, 3) by plugging in the values of -8 in for x and 3 in for y in the equation.

Clearly, we don't have a y, so we just put in the -8 for the x: -8 = -8. Since this is a true statement, we know that x = -8 does go through (-8, 3). So, this is a true statement.

C) We can see if this is a vertical line if its slope is undefined (for example, if the denominator is 0, it's undefined). Slope = \frac{5-(-7)}{0-0} =\frac{12}{0} = undefined. So, this is a vertical line and the statement is true.

D) As a basic fact, any point on a horizontal line will have the same y coordinate. However, their x coordinates may vary. Thus, the statement is false.

So, the answers are A, B, and C.

Hope this helps!

4 0
3 years ago
Read 2 more answers
The table represents the linear function f(x), and the equation represents the linear function g(x).
Eva8 [605]

9514 1404 393

Answer:

  The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

Step-by-step explanation:

The y-intercept is the function value when x=0. The table shows f(0) = 1. The equation shows g(0) = 1, so the y-intercepts are equal.

__

The value of f(x) changes by (11 -1) = 10 when the value of x changes by (2 -0) = 2. That means the slope of f(x) is 10/2 = 5.

The slope of g(x) is the x-coefficient, 4. We note that 5 > 4, so the slope of f(x) is greater than for g(x).

The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

8 0
3 years ago
Read 2 more answers
The factored form of a quadratic equation is y=(2x+1)(x-5), and the standard form is y=2x²-9x-5. Which of the following statemen
podryga [215]

x1= -5 x2=0.5 y= -5

the answer is b as the minuses can be interchanged for the x intercepts

Step-by-step explanation:

As you can see as explained in the pictures

7 0
3 years ago
-1/2 + 2. What is the solution to this problem
andriy [413]
-1/2 + 2 = 1.5 
because if u add 2 to a minus half it goes 0 and then 1.5 (positive half)
8 0
3 years ago
Read 2 more answers
Answers for the 2 boxes please :)​
Lapatulllka [165]

Answer:

-2,3

Step-by-step explanation:

x = -2

y = 3

..........

8 0
3 years ago
Other questions:
  • As Jupiter revolves around the sun, it travels at a rate of approximately miles per second. Convert this rate to kilometers per
    10·1 answer
  • There are 59 boys and 49 girls in this year's baseball league. If the league has nine teams how many players will be on each tea
    8·1 answer
  • What is the perimeter of this pentagon?
    8·1 answer
  • Less expensive and cleaner than power plants that use fossil fuels, why are they not used on a larger scale?
    9·2 answers
  • A rectangle with length of 10 feet and width 6 feet. A diagonal cuts the rectangle into two halves. One of the triangular halves
    13·2 answers
  • At a party, the amount of people who ate chicken wings was 9 less than 3 of the total
    13·1 answer
  • The formula P=0.6x-89 models the profit, P, in dollars, for a shoe shiner when he shines x pairs of shoes.Use the formula to fin
    10·1 answer
  • How many numbers between 1 and 200 are evenly divisible by 7?
    5·1 answer
  • A teacher administers a standardized math test to his class of 75 students. The mean score (out of 300 possible points) is 235.
    5·1 answer
  • The formula for the area of a rhombus is A = ∙ d1 ∙ d2, where A = area, d1 = diagonal 1, and d2 = diagonal 2. For a rhombus with
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!