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Virty [35]
3 years ago
14

A function includes ordered pairs (−2, 3), (0, −1), (1, 0), (3, 8), and (5, 24). Which point could not be the part of this funct

ion?
Mathematics
1 answer:
madreJ [45]3 years ago
3 0

A relation or an ordered pair may or may not be a function.

An ordered pair will only be a function when the x and y values are unique

<em>The options are not given, so I will provide a general explanation</em>

For an ordered pair to be a function, all the y values must point to different x values.

Take for instance, the given ordered pair

\mathbf{(-2, 3), (0, -1), (1, 0), (3, 8),  (5, 24)}

The above represents a function, because the y-values have different x-values

However, the following ordered pair is not a function

\mathbf{(-2, 3), (0, -1), (1, 0), (3, 8), (3, 9),  (5, 24)}

The reason is that:

y-values 9 and 8 have the same x-value (3)

Read more about ordered pairs and functions at:

brainly.com/question/11482687

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Consider this scaled figure of a swimming pool. The dimensions of the original pool are 24 feet wide by 36 feet long. A rectangl
kozerog [31]

The scale factor used for scaling the actual rectangular pool was 4/15 and the length of the scaled rectangle is 9.6 feet.

<h3>How to calculate the scale factor?</h3>

Suppose the initial measurement of a figure was x units.

And let the figure is scaled and new measurement is of y units.

Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.

Then we have:

s \times x = y\\s = \dfrac{y}{x}

Thus, scale factor is the ratio of the new measurement to the old measurement.


For this case, we're specified that:

Dimensions of the original pool = 24 feet wide by 36 feet long

The scaled rectangle's dimension: 6.4 feet width and L feet length (we assume the length be L units).

So, in scale drawing, 24 feet was converted to 6.4 feet. Let the scale factor be 's', then:

6.4 = s \times 24\\\\s = \dfrac{6.4}{24} = \dfrac{4}{15}

Thus, since length is also scaled by same factor(as the whole figure is scaled by constant scale factor assumingly), we get:

Scaled length = s times original length

L = \dfrac{4}{15} \times 36 = 9.6 \: \rm feet

Thus, the scale factor used for scaling the actual rectangular pool was 4/15 and the length of the scaled rectangle is 9.6 feet.

Learn more about scale factors here :

brainly.com/question/8765466

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