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Natasha_Volkova [10]
2 years ago
7

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1),

(1, 3), (2, negative 3). Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function? (–4, 2) (–1, 4) (1, 3) (2, –3)
Mathematics
2 answers:
Elenna [48]2 years ago
5 0

Answer:

(1, 3)

Step-by-step explanation:

Given:

A circle with the following points on it-

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

A function is just like a machine that gives an output for a given unique input.  No two outputs can have the same input.

The input to a function is called the domain of a given function. The output of a function is called its range.

The domain is represented by the 'x' coordinate and the range is represented by the 'y' coordinate.

So, the domain is the independent variable and range depends on the values of the domain.

Now, a relation of set of points represents a function only if all the 'x' coordinates of the set of ordered pairs are different.

Now, in the relation above, the ordered pairs (1, 1) and (1, 3) have the same input. So removing either of the two will make the relation a function.

So, the correct option is (1, 3).

serg [7]2 years ago
4 0

Answer:

c

Step-by-step explanation:

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LuckyWell [14K]

Answer:

The required proportion is \frac{p}{100}=\frac{24.50-17.95}{24.50}.

Step-by-step explanation:

Consider the provided information.

The price of a recipe-book was reduced from $24.50 to$17.95.

The original price is 24.50

Reduced price is 17.95.

Let p represents the percent decrease in price of the book.

\text{Percent decrease}=\frac{\text{Original price-Reduced price}}{\text{Original price}}\times 100

Now substitute the respective values in the above formula.

p=\frac{24.50-17.95}{24.50}\times 100

\frac{p}{100}=\frac{24.50-17.95}{24.50}

Hence, the required proportion is \frac{p}{100}=\frac{24.50-17.95}{24.50}.

4 0
2 years ago
Consider the roles of the moderator and the participants in a discussion. Who performs each task listed below?
jonny [76]

Answer:

Moderator, participant, moderator, and moderator

4 0
2 years ago
Read 2 more answers
3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.
lorasvet [3.4K]

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

4 0
2 years ago
Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1
sergiy2304 [10]

The height of statue is 12.2 inches in Troy's drawing.

Step-by-step explanation:

Given,

Actual height of statue = 305 feet

Scale used by Troy;

25 feet = 1 inch

1 feet = \frac{1}{25}\ inches

305 feet = \frac{1}{25}*305 \ inches

305 feet = \frac{305}{25}\ inches\\

305 feet = 12.2 inches

The height of statue is 12.2 inches in Troy's drawing.

Keywords: unit rate, division

Learn more about unit rate at:

  • brainly.com/question/884169
  • brainly.com/question/902892

#LearnwithBrainly

3 0
2 years ago
Craig Campanella and Edie Hall both have night jobs. Craig has every thirteenth night and Edie has every Fifth night off. How of
Andrews [41]

Craig has every 13th night and Edie has every 5th night off.

You have to find LCM - the Least Common Multiple that is the smallest ("least") number that both 13 and 5 will divide into.

Since numbers 13 and 5 are both prime, then LCM(13,5)=13·5=65.

This means, they will have the same every 65th night off.  

6 0
2 years ago
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