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QveST [7]
3 years ago
5

If y = 7x – 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

(5 points) {(–5, 0), (9, 2), (–26, –3)} {(2, 7), (1, 6), (3, 13)} {(0, –5), (2, 9), (–3, –26)} {(1, 3), (6, 18), (8, 15)}
Mathematics
2 answers:
Setler79 [48]3 years ago
3 0
The third set, (0, -5) (2,9) (-3,-26)
xeze [42]3 years ago
3 0

Answer:

The third set is the correct option.

Step-by-step explanation:

We have the following function :

y=7x-5

We can also write it as

f(x)=7x-5

  • This means that the function ''f'' depends of the variable x.
  • The possible inputs of the function are the values that the "x" can assume.

Now, given a possible ''x'', if we replace it in the expression of f(x) the result will be a possible output that matches that input.

For example, If x=0 ⇒

y=7.(0)-5=-5

If x = 0 ⇒ y = -5

The pair (x,y)=(0,-5) is a possible input-output pair.

<em />

<u>In this exercise we have 4 sets. In order to find a set of possible input-output pairs, we need to replace them in the equation of the function. </u>

  • The first set is {(-5,0),(9,2),(-26,-3)}

If we replace each pair in the function :

0=7(-5)-5=-40

0=-40

<em>The pair (-5,0) is not a possible pair of input-output. Therefore,we can't say that all the set is a possible pair of input-output for the function. </em>

  • The second set is {(2,7),(1,6),(3,13)}

Replacing each pair in the function :

7=7.(2)-5=9

7=9

<em>Therefore the pair (2,7) is not a possible pair of input-output for the function and we can't say that all the set is a possible input-output set for the function. </em>

  • The third set is {(0,-5),(2,9),(-3,-26)}

If we replace each pair in the function

-5=7.(0)-5

-5=-5

The second pair

9=7.(2)-5=9

9=9

The last pair

-26=7.(-3)-5

-26=-26

<em>All pairs match the function. Therefore the third set of pairs is a possible pair of input-output for the function.</em>

<em> </em>

  • The last set {(1,3),(6,18),(8,15)}

If we replace in the function each pair

3=7(1)-5=2

3=2

<em>The pair (1,3) is not a possible input-output pair for the function. Therefore, we can't say that all the set is a possible input-output set of pairs for the function. </em>

The set {(0,-5),(2,9),(-3,-26)} represents a possible set of input-output pairs for the function.

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evablogger [386]
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In your question Tom is trying to go from feet to yards.  Therefore he has to divide the number of feet by 3feet/yard to get feet to cancel out.  His mistake was that he multiplied by 3feet/yard instead of divide by 3feet/yard.  The correct way do it is divide 379 feet by 3feet/yard to get 126.33 yards.

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7 0
3 years ago
Express the ratio in the simplest form. 20 gallons to 0.75 gallons
expeople1 [14]

ANSWER

The ratio in the simplified form is

80:3

EXPLANATION

We want to express 20 gallons to 0.75 gallons as a ratio in its simplest form.

We obtain the ratio as follows:

20:0.75

This is the same as

20: \frac{3}{4}

We multiply each term in the ratio by 4 to obtain;

20 \times 4:0.75 \times 4

This gives us,

80:3

5 0
2 years ago
A package of 3 pairs of insulated gloves costs $15.57. What is the unit price of the pairs of gloves?
Illusion [34]

Answer:

$5.19

Step-by-step explanation:

→ Write the ratio

3 : 15.57

→ Divide both sides by 3

1 : 5.19

8 0
3 years ago
The temperature changed from 7°F at 6 p.M to -5°F at midnight. What was the difference between the high and low temperatures? Wh
IgorC [24]

Answer:

12 °F

2°F per hour

Step-by-step explanation:

The difference can be found by substracting:

7°F-( -5 °F)

=12 °F

To find the average change in temperature per hour, divide by how many hours between 6 to midnight. Between 6 to midnight is 6 hours.

12°F / 6 hours

= 2°F/ hour

7 0
2 years ago
Please help me asap!!
Bess [88]

Answer:

x = 14

Step-by-step explanation:

The polygon given has 6 sides

Sum of interior angles of a 6-sided polygon = 180(n - 2)

substitute n = 6 into 180(n - 2)

Sum of the polygon = 180(6 - 2) = 720°

Thus:

10x + 8x - 16 + 12x - 8 + 7x + 2 + 9x + 4 + 6x + 10 = 720

Add like terms

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52x = 720 + 8

52x = 728

x = 728/52

x = 14

3 0
2 years ago
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