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3 years ago

Need math help ASAP:)

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

5 0

Answer:

f(-2) = 4

Step-by-step explanation:

The function has three definitions depending on the value of x.

You are looking for the value of the function at x = -2.

-2 is in the interval x <= -1, which is the first line of the definition of the function.

We use the first line of the definition of the function.

f(x) = -2x for x <= -1

f(-2) = -2(-2) = 4

Answer: f(-2) = 4

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3 years ago

Absolute value to show the distance between -60 and 13

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Answer:

Step-by-step explanation:

The Ruler Postulate:

A distance between a number A and a number B:

AB = |B - A|

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4 years ago

Consider a set of one-dimensional points: 6, 12, 18, 24, 30, 42, 48.

Vinvika [58]

Answer:

1) With initial centroids 10-40, final clusters are

first cluster (6,12,18,24,30)

second cluster (42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 378

2) With initial centroids 10-20, final clusters are

first cluster (6,12,18,24)

second cluster (30,42,48)

And the Sum of Squared Errors (SSE) for the clustering result is 348

Step-by-step explanation:

K-means works as follows

the points will be clustered according to their distance to the centroids.
Then centroids are updated as the cluster means.
This process continues until clusters doesn't change anymore

1) initial centroids 10-40

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

new centroids 15-40

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

final centroids 18-45

first cluster (6,12,18,24,30) mean:18

second cluster (42,48) mean:45

Sum of Squared errors = $(18-6)^{2}$ + $(18-12)^{2}$ + $(18-18)^{2}$ + $(18-24)^{2}$ + $(18-30)^{2}$ + $(45-42)^{2}$ + $(45-48)^{2}$ =378

2)initial centroids 10-20

first cluster (6,12) mean:9

second cluster (18,24,30,42,48) mean:32.4

new centroids 9-32.4

first cluster (6,12,18) mean:12

second cluster (24,30,42,48) mean:36

new centroids 12-36

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

final centroids 15-40

first cluster (6,12,18,24) mean:15

second cluster (30,42,48) mean:40

Sum of Squared errors = $(15-6)^{2}$ + $(15-12)^{2}$ + $(15-18)^{2}$ + $(15-24)^{2}$ + $(40-30)^{2}$ + $(40-42)^{2}$ + $(40-48)^{2}$ =348

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3 years ago

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Answer:

The answer would be -a

Step-by-step explanation:

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5 + (-5) = 0

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THat means there will be a negative then a positive, or a positive then a negative.

INVERSE is the key word in this problem.

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3 years ago

MariettaO [177]

Answer:

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Step-by-step explanation:

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3 years ago

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