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ANEK [815]
3 years ago
11

State the domain and range of the given relation. {(-1,2),(1,2),(3,2),(6,2)}

Mathematics
1 answer:
Andru [333]3 years ago
7 0

Step-by-step explanation: In this problem, we're asked to state the domain and range for the following relation {(-1,2), (1,2), (3,2), (6,2)}.

Let's go over a few vocabulary words and

these are <em>domain</em>, <em>range</em>, and <em>relation</em>.

So let's start with the word <em>relation</em>.

A <em>relation</em> is simply a set of ordered pairs like you see here.

The <em>domain</em> is the set of all x-coordinates for those ordered pairs.

So in this case, the domain is -1, 1, 3, and 6.

We can write this as {-1, 1, 3, 6}.

The <em>range</em> is the set of all y-coordinates for those ordered pairs.

So in this case our range is 2, 2, 2, and 2.

Notice that the y-coordinate of 2 is

repeated in three of our ordered pairs.

In this situation, we only need to mention it once in our range.

So our range is {2}.

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Jessica, Chau, and Kareem sent a total of 84 text messages during the weekend. Kareem sent 4 times as many messages as Chau. Jes
swat32

Answer:

Number of messages sent by Chau = 15

Number of messages sent by Kareem = 4 * 15 = 60

Number of messages sent by Jessica = 15 - 6 = 9

Step-by-step explanation:

Let number of messages sent by Chau = c

Number of messages sent by Kareem = 4 times as Chau

                                                                = 4 * c = 4c

Number of messages sent by Jessica = 6 fewer messages than Chau

                                                               = c - 6

Total messages = 84

<u>c + 4c + c</u> - 6 = 84                {Combine like terms}

<u>6c</u> - 6 = 84         {Add 6 to both sides}

6c  = 84 + 6

6c = 90   {Divide both sides by 6}

c = 90/6

c = 15

Number of messages sent by Chau = 15

Number of messages sent by Kareem = 4 * 15 = 60

Number of messages sent by Jessica = 15 - 6 = 9

3 0
3 years ago
Read 2 more answers
An equation and the steps to solve it are shown below: 5x minus one over five times the quantity 20x plus 5 equals 9 Step 1: 5x
gizmo_the_mogwai [7]

Answer:

no error was made

Step-by-step explanation:

5x- 1/5*(20x +5) =9

distribute

5x - 4x-1 = 9

combine like terms

x-1 =9

add 1 to each side

x-1+1 = 9+1

simplify

x = 10


6 0
4 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

6 0
3 years ago
if you are dealt 6 cards from a shuffled deck of 52 cards, find the probability of getting 3 jacks and 3 aces.
steposvetlana [31]
There’s 4 jacks and 4 aces in a deck of cards so the probability would be 8:52 i think
4 0
3 years ago
X2+20x+100 <br><br> it wouldnt hurt if you factor this one ethier hehe..
tia_tia [17]

Answer: (x+10) to the seccond power

Step-by-step explanation: 1

Use the sum-product pattern

x^{2}+{\color{#c92786}{20x}}+100

x^{2}+{\color{#c92786}{10x}}+{\color{#c92786}{10x}}+100

2

Common factor from the two pairs

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3

Rewrite in factored form

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4

Combine to a square

6 0
2 years ago
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