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lyudmila [28]
3 years ago
10

A Venn diagram is shown below: a venn diagram showing two categories, A and B. In the A only circle is 3 and 4, in the B circle

is 5 and 6, in the intersection is 1 and 2, and in outside the circles is U What are the elements of (A ∩ B) ' ?
Mathematics
1 answer:
Alenkinab [10]3 years ago
4 0
I would have wished to see Venn Diagram, however I will try to answer this problem:
A={1,2,3,4}

B={1,2,5,6}

(A∩B) ={1,2}

The complement of (A∩B) is (A∩B)'

(A∩B)' = A'∪B' (De Morgan's law)

A' ={5,6} and B'={3,4}

A'∪B' = {5,6} ∪ {3,4}

A'∪B' = (A∩B)' = {3,4,5,6}

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if P(x)=1+6x-5x^2 represents the profit in selling x thousand Boombotix speakers, how many speakers should be sold to maximize p
Rashid [163]

Answer:

600

Step-by-step explanation:

p(x) = 1 + 6x - 5x^2

x max = -b/2a

a = -5

b = 6

-6/2(-5) = 6/10 = 3/5 = .6

.6 thousand = 600

600 speakers should be sold.

Alternatively, you can check the vertex of the parabola formed.

8 0
3 years ago
The floor of Aisha’s rectangular bedroom has an area of 144. Which are possible dimensions of her bedroom? Check all that apply.
jeka57 [31]
14.4 by 10, 8x18, 9x16 and 12x12
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wolverine [178]

Step-by-step explanation:

2x+98=180° (angles in straight line )

2x=180-98

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x=1

6 0
2 years ago
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Which expression represents a<br> positive integer?<br> F. – 6²<br> H. (-5)<br> G. (-3)<br> 1.-23
marta [7]
F -6*-6 = 36 which is a positive interger
3 0
3 years ago
The horizontal line segment at the top of the polygon on the grid below is how many units long?​
Ymorist [56]

Answer:

6 units long.

Step-by-step explanation:

Given:

A polygon drawn on a graph.

In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.

Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.

Coordinates of A are (x_1,y_1)=(-3, 4) as seen in the graph.

Coordinates of B are (x_2,y_2)=( 3, 4) as seen in the graph.

Now, distance formula  for two points (x_1,y_1)\ and\ (x_2,y_2) is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d_{AB}=\sqrt{(3-(-3))^2+(4-4)^2}\\d_{AB}=\sqrt{(3+3)^2+0}\\d_{AB}=\sqrt{36}=6\ units

Therefore, the horizontal line at the top is 6 units long.

4 0
4 years ago
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