Which of the relationships below is a function?

1 answer:

8 0

First: a function is an input connected to one and only one output.

I would say that C, (<span>4,3), (3,0), (-1,3), (2,7), would be correct. You see, no inputs are repeating, unlike A, B, and D, which repeat</span>

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Line A passes through the points (-5, 1) and (5, 11).

11111nata11111 [884]

Line A: $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{11 - 1}{5 - (-5)} = \frac{10}{5 + 5} = \frac{10}{10} = 1$
y - y₁ = m(x - x₁)
y - 1 = 1(x - (-5))
y - 1 = 1(x + 5)
y - 1 = 1(x) + 1(5)
y - 1 = x + 5
   + 1    + 1
   y = x + 6

Line B: $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{20 - (-1)}{-3 - 4} = \frac{20 + 1}{-7} = \frac{21}{-7} = -3$
   y - y₁ = m(x - x₁)
y - (-1) = -3(x - 4)
   y + 1 = -3(x) + 3(4)
   y + 1 = -3x + 12
   - 1 - 1
   y = -3x + 11

y = x + 6
y = -3x + 11

   x + 6 = -3x + 11
+ 3x     + 3x
   4x + 6 = 11
       - 6   - 6
   4x = 5
      4   4
       x = 1¹/₄
   y = x + 6
   y = 1¹/₄ + 6
   y = 7¹/₄
     (x, y) = (1¹/₄, 7¹/₄)

The answer is B.

4 0

4 years ago

What is the y-intercept of line?

pav-90 [236]

Answer:

You're answer is 1

Step-by-step explanation:

You're y-interpent is where the line goes through the y axis

7 0

3 years ago

The area of the continent of Susan America is about 6,888,000 square miles. Write 6,888,000 in expanded form using multiplicatio

Ilia_Sergeevich [38]

The area of the continent of Susan America which is 6,888,000 square miles can be written as 688* $10^{3}$ .

Given that the area of the continent of Susan America be 6888000 square miles.

We are required to express the area in the multiplication form by using the place values.

Area is basically quantity that expresses the extent of a region on the plane or on a curved surface.

Multiplication is basically finding the number which is product of two numbers.

6888000 can be written as 6888* $10^{3}$ which can be found out by the cube of 10 and multiply that by 6888.

Hence the area of the continent of Susan America which is 6,888,000 square miles can be written as 6888* $10^{3}$ .

Learn more about area at brainly.com/question/25292087

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7 0

2 years ago

If you earn $5.50 per day plus a commission of 12% on all shoes you sell, which equation can you use to determine your daily ear

iren [92.7K]

12% = 0.12

x - Number of shoes sold

f(x) = 0.12x + 5.50

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4 years ago

A farming council takes a large random survey of US adults in which they ask how many times they ate a

Lady_Fox [76]

Answer:

Histogram A

Step-by-step explanation:

Because I was trying to find the answer but I got it wrong and it told me the answer <3

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3 years ago