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Brut [27]
4 years ago
12

Find A ∩ B if A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

Mathematics
2 answers:
Gwar [14]4 years ago
8 0

Answer:

<h2>{5}</h2>

Step-by-step explanation:

A=\{2,\ 5,\ 8,\ 11,\ 14\}\\\\B=\{1,\ 3,\ 5,\ 7\}\\\\A\ \cap\ B-\text{the intersection of two sets A and B,}\\\text{ is the set that contains all elements of A that also belong to B.}\\\\\text{Therefore:}\ A\ \cap\ B=\{5\}

LekaFEV [45]4 years ago
7 0

Answer:

Option 2 -  A\cap B=\{5\}

Step-by-step explanation:

Given : A = {2, 5, 8, 11, 14} and B = {1, 3, 5, 7}.

To find : A\cap B ?

Solution :

The intersection of two sets A and B is the set containing all elements of A that also belong to B and nothing else.

A = {2, 5, 8, 11, 14}

B = {1, 3, 5, 7}

The common elements are 5.

So, A\cap B=\{5\}

Therefore, Option 2 is correct.

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Shelby, Allen, and Denise printed their digital photos. Each requested the same size prints. Shelby paid $2.70 for 5 prints. All
tekilochka [14]
Person:    Number of prints      Total Cost
Shelby             5                               2.70
Allen               11                              3.24
Denise            20                             4.05

To solve for the variable cost:
11 - 5 = 6
3.24 - 2.70 = 0.54
0.54 / 6 = 0.09 per print

To solve for the fixed cost
0.09 x 5 = 0.45
2.70 - 0.45 = 2.25 

y = 2.25 + 0.09x

y = 2.25 + 0.09(5) = 2.25 + 0.45 = 2.70
y = 2.25 + 0.09(11) = 2.25 + 0.99 = 3.24
y = 2.25 + 0.09(20) = 2.25 + 1.8 = 4.05
4 0
3 years ago
Read 2 more answers
The answer to the first question
Olenka [21]

The answer of number 4 is 57+36 x 0.001

6 0
3 years ago
Miss Crowe best inmates at 6 math problems are completed for every 13.5 minutes they are online about how many problems would be
Soloha48 [4]
All we need to do for this problem is multiply and divide. Let’s find the problems-per-minute!

6/13.5 = 0.44

Now we multiply this by 44 minutes to get the final answer.

0.44 * 44 ≈ 19 [you can’t solve 0.36 of a problem]

And there you have it! The inmates can solve 19 problems in 44 minutes online.
4 0
4 years ago
If the total cost of z apples is a ​cents, what is the general formula for the​ cost, in​ cents, of w ​apples?
jonny [76]

The total cost of z apples = a cents

The cost of 1 apple = \frac{a}{z} cent

The cost of w apples = \frac{wa}{z} cents

5 0
3 years ago
Find all complex solutions of 3x^2+2x+5=0 . (If there is more than one solution, separate them with commas.)
barxatty [35]

Answer:

\large\boxed{-\dfrac{1}{3}-\dfrac{\sqrt{14}}{3}i,\ -\dfrac{1}{3}+\dfrac{\sqrt{14}}{3}i}

Step-by-step explanation:

Use

ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

3x^2+2x+5=0\\\\a=3,\ b=2,\ c=5\\\\b^2-4ac=2^2-4(3)(5)=4-60=-56\\\\\sqrt{b^2-4ac}=\sqrt{-56}=\sqrt{(4)(-14)}=\sqrt4\cdot\sqrt{-14}=2\sqrt{-14}

Use

i=\sqrt{-1}

\sqrt{-14}=\sqrt{(-1)(14)}=\sqrt{-1}\cdot\sqrt{14}=i\sqrt{14}

Therefore:

x=\dfrac{-2\pm 2i\sqrt{14}}{2(3)}=-\dfrac{2}{6}\pm\dfrac{2i\sqrt{14}}{6}=-\dfrac{1}{3}\pm \dfrac{\sqrt{14}}{3}i

8 0
4 years ago
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