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rodikova [14]
3 years ago
6

Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of function i

n your answer. Need help with this I don't know.
Mathematics
1 answer:
777dan777 [17]3 years ago
3 0

Answer:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Step-by-step explanation:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

I attached an Image you can visualize it clearly

P.S I ain't that good at drawing though :P

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Solve 5x + 14 = k for x​
Zepler [3.9K]

Answer:

x = 1/5(k-14)

Step-by-step explanation:

5x + 14 = k

Subtract 14 from each side

5x+14-14 = k-14

5x = k-14

Divide by 5

5x/5 = 1/5(k-14)

x = 1/5(k-14)

7 0
2 years ago
If nico spends $5.76 on tomatoes,how many pounds did he purchase?
tia_tia [17]

The amount of in pound of tomatoes purchased is \frac{5.76}{p}

To obtain the number of pounds of tomatoes purchased :

  • Let the price per pound of tomato = p

The Number of tomatoes purchased equals :

  • Total amount spent ÷ price per pound

Therefore, the Number of tomatoes purchased will be :

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The Number of pounds of tomatoes purchased = \frac{5.76}{p}

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4 0
2 years ago
What two numbers multiply to 54 and add up to 7
k0ka [10]
Xy = 54
x + y = 7

xy = 54
\frac{xy}{x} = \frac{54}{x}
y = \frac{54}{x}

x + y = 7
x + \frac{54}{x} = 7
\frac{x^{2}}{x} + \frac{54}{x} = 7
\frac{x^{2} + 54}{x} = 7
x^{2} + 54 = 7x
x^{2} - 7x + 54 = 0
x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}
x = \frac{7 \± \sqrt{49 - 216}}{2}
x = \frac{7 \± \sqrt{-167}}{2}
x = \frac{7 \± i\sqrt{167}}{2}
x = \frac{7 \± 12.9i}{2}
x = 3.5 \± 6.45i
x = 3.5 + 6.45i    or    3.5 - 6.45i

                  x + y = 7
   3.5 + 6.45i + y = 7
- (3.5 + 6.45i)       - (3.5 + 6.45i)
                        y = 3.5 - 6.45i
                  (x, y) = (3.5 + 6.45i, (3.5 - 6.45i)

                          or

                  x + y = 7
   3.5 - 6.45i + y = 7
- (3.5 - 6.45i)     - (3.5 - 6.45i)
                       y = 3.5 + 6.45i
                 (x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.
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