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Nataly_w [17]
3 years ago
15

If A = {1, 3, 5, 15}, B = {2, 3, 5, 7}, C = {2, 4, 6, 8} Then what is (A U B) ∩ C?

Mathematics
1 answer:
Firlakuza [10]3 years ago
4 0

Answer:

A\ u\ B\ n\ C = \{2\}

Step-by-step explanation:

Given

A = \{1, 3, 5, 15\}

B = \{2, 3, 5, 7\}

C = \{2, 4, 6, 8\}

Required

Determine (A U B) ∩ C

First, we calculate A u B

A\ u\ B = \{1,3,5,15\} \ u\ \{2,3,5,7\}

This means that we bring A and B together without repetition.

A\ u\ B = \{1,2,3,5,7,15\}

Next:

A\ u\ B\ n\ C = \{1,2,3,5,7,15\}\ n\ \{2,4,6,8\}

This means that we only get the common items

A\ u\ B\ n\ C = \{2\}

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What would you rather earn a 1 million dollars a day or a 1 dollar a day and it doubles every day?
larisa86 [58]

1 millions because the I wold get more and then 1 dollar a day and double will give me less

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Keisha, Miguel, and Pablo sent a total of 69 text messages during the weekend. Miguel sent 5 more messages than Keisha. Pablo se
frutty [35]

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Step-by-step explanation:

Total messages sent = 69

Let,

Messages sent by Keisha = x

Messages sent by Miguel = y

Messages sent by Pablo = z

According to given statement;

x+y+z=69    Eqn 1

y=x+5    Eqn 2

z=2x    Eqn 3

Putting Eqn 2 and 3 in Eqn 1

x+(x+5)+2x=69\\x+x+5+2x=69\\4x=69-5\\4x=64

Dividing both sides by 4;

\frac{4x}{4}=\frac{64}{4}\\x=16

Putting x=16 in Eqn 2

y=16+5=21

Putting x=16 in Eqn 3

z=2(16)=32\\

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Keywords: addition, linear equation

Learn more about addition at:

  • brainly.com/question/10882895
  • brainly.com/question/10883914

#LearnwithBrainly

8 0
3 years ago
Use the zero product property to find the solutions to the equation 2x2 + x - 1 = 2
Firdavs [7]

Answer:

C

Step-by-step explanation:

Given

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2x² + x - 3 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 3 = - 6 and sum = + 1

The factors are - 2 and + 3

Use these factors to split the x- term

2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(2x + 3) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - \frac{3}{2}

8 0
3 years ago
Gourmet Pretzels bakes soft pretzels on an assembly line. It currently bakes 800 pretzels each eight-hour shift. If the producti
Delvig [45]

Answer:

Change in productivity will be 50%

So option (b) will be correct option

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It is given that it takes 8 hour to bake 800 pretzels

And there is a shift of 8 hours

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Now the production is increases to 1200

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So change in productivity  = \frac{150-100}{100}=50 %

So option (b) will be correct answer

6 0
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grigory [225]

Answer:

A.

Step-by-step explanation:

We are given the two points (2,7) and (4,-1).  In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope <em>m.</em> Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4

Thus, the slope is -4.

Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

y-y_1=m(x-x_1)

Where (x1, y1) is a coordinate pair and m is the slope.

Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

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This is also slope-intercept form. The answer is A.

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3 years ago
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