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
Readme [11.4K]
2 years ago
14

Given A = {x ∈ ℤ : 4|x} and B = {x ∈ ℤ : 2|x}. Prove A ⊆ B.

Mathematics
1 answer:
Rashid [163]2 years ago
4 0

Let a ∈ A. Then a is some integer that is divisible by 4, so we can write a = 4k for some integer k.

We can simultaneously rewrite a as a = 2•2k, so 2 clearly divides a, which means a ∈ B as well.

Therefore A ⊆ B.

You might be interested in
Help me please!!!! The question is in the picture^^^
Aleksandr [31]

Answer:

7,173

x = 7

Step-by-step explanation:

Within the question it gives two examples.

x = 0 corresponds to 2000

x = 1 corresponds to 2001

If you pay close attention the x-value is always the same as the last digits in the year. So with 2007 the last digit is 7, which then leads us to determine that

x = 7

f (x) = -327 (7) + 9462

f (x) = -2289 + 9462 = 7173

6 0
3 years ago
what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin ​
lesya [120]

Answer:(-8,-4)

Step-by-step explanation:

5 0
3 years ago
Simplify −45(30x−40)+(42x+4) . Write your answer in factored form.
kakasveta [241]

solution

-4(327x-451)

5 0
2 years ago
Which graph shows the solution to this system of inequalities?<br> y &lt; 2x + 4<br> y &gt; -X -3
Arturiano [62]

Answer:

The answer is Graph X.

  • Always start by isolating the variable \color{red}y on the left side of the inequality.
  • Change the inequality to equality symbol.
  • Graph the boundary line from step 2 in the XY-plane.
  • The last step is to shade one side or region of the boundary line.

Please Mark Brainliest If This Helped!

3 0
3 years ago
What the factors of 40 with a sum of -22? *
Andru [333]

Answer:

Why is 90 the sum of all factors of 40, including 40? The factors of the number 40 are: 1, 2, 4, 5, 8, 10, 20, 40. If you add them up, you will get the total of 90.

Step-by-step explanation:

2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(c) the median BE of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)​

3 0
3 years ago
Read 2 more answers
Other questions:
  • Y = -6x +2<br> -12x -2y = -4
    14·1 answer
  • Which statement and reason best complete the proof ?
    6·1 answer
  • The area of a rectangle is 30 sq meters. The perimeter is 26 feet. What are the dimensions of the rectangle?
    11·1 answer
  • 7 less than 4 times a number equals 13 ​
    10·1 answer
  • Regina took out a 30-year loan for $110,000 at an APR of 9.6%, compounded
    5·2 answers
  • The upper quartile of a set of data is represented by which of the following?
    5·2 answers
  • briefly explain the process by which you would determine whether or not x-6 a factor of 3x^3-16x^2-72
    11·2 answers
  • There are 12 cookies on the middle shelf. Three-fourths of them have red icing. How many cookies have red icing?
    15·2 answers
  • A 16-fl oz bottle of juice cost $2.00 what is the unit cost
    10·1 answer
  • What is the greatest common factor of 10 and 75?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!