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gizmo_the_mogwai [7]
3 years ago
14

Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B?

Mathematics
2 answers:
DIA [1.3K]3 years ago
7 0

For this case we have the following sets:

A = {1,2,3,4,5}

B = {2,4}

We must find the intersection of both sets, the symbol ∩ denotes intersection. That is, the numbers in common of both.

We have to:

A∩B = {2,4}

Answer:

The insterseccion of both sets is:

A∩B = {2,4}

Harlamova29_29 [7]3 years ago
3 0

A\cap B=\{x:x\in A \wedge x\in B\}

A\cap B=\{2,4\}

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Hope this helps!
3 0
3 years ago
please solve all of them Elaine bought a total of 15 shirts and pairs of pants She bought 7 more shirts then pants how many of e
mihalych1998 [28]

Answer

Question 1

4 pants

11 shirts

Question 2

Shady has 30 video games.

Preston has 19 video games.

Question 3

1 muffin costs $1.5

1 quart of milk costs $3

Explanation

Question 1

Let the number of shirts be s

Let the number of pants be p

She bought a total of 15 shirts and shirts

s + p = 15

She bought 7 more shirts than pants.

s = 7 + p

So, we can solve the simultaneous equation.

s + p = 15

s = 7 + p

Substitute for s in equation 1

s + p = 15

7 + p + p = 15

7 + 2p = 15

2p = 15 - 7

2p = 8

Divide both sides by 2

(2p/2) = (8/2)

p = 4 pants

s = 7 + p = 7 + 4 = 11 shirts

Question 2

Let the number of games Shady has be s

Let the number of games Preston has be p

Together, they have a total of 49 video games

s + p = 49

Shady has 11 more games than Preston.

s = 11 + p

So, we can solve the simultaneous equation.

s + p = 49

s = 11 + p

Substitute for s in equation 1

s + p = 49

11 + p + p = 49

11 + 2p = 49

2p = 49 - 11

2p = 38

Divide both sides by 2

(2p/2) = (38/2)

p = 19 video games

s = 11 + p = 11 + 19 = 30 video games

Question 3

Let the cost of a muffin be m

Let the cost of a quart of milk be q

The cost of 8 muffins and 2 quarts of milk is $18.

8m + 2q = 18

The cost of 3 muffins and 1 quart of milk is $7.50

3m + q = 7.5

So, we can solve the simultaneous equation

8m + 2q = 18

3m + q = 7.5

Solving this,

m = 1.5 dollars

q = 3 dollars

Hope this Helps!!!

3 0
1 year ago
Let f(x)= x^4 + ax^2 +b. The graph of f has a relative minimum at (0,1) and an inflection point when x=1. The values of a and b
Delvig [45]
f(x)=x^4+ax^2+b\\f'(x)=4x^3+2ax\\f''(x)=12x^2+2a\\f''(1)=12(1)^2+2a\\12(1)=-2a\\a=-6\\\\f(x)=x^4-6x^2+b\\(1)=(0)^4-6(0)^2+b\\b=1

a=-6
b=1
8 0
4 years ago
Solve each system by substitution<br> 2x+y=20<br> 6x-5y=12 <br> what is (x,y)?
Delicious77 [7]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:(7,6)

Equation Form: x=7, y=6

6 0
3 years ago
Read 2 more answers
What sign will the quotient of a negative integer divided by a positive integer have?
Ad libitum [116K]

Answer:

When you divide a negative number by a positive number then the quotient is negative. When you divide a positive number by a negative number then the quotient is also negative.

6 0
3 years ago
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