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vagabundo [1.1K]
3 years ago
12

1. Which of the following relations are functions?

Mathematics
1 answer:
klasskru [66]3 years ago
8 0

Answer:

R1 = {(1, 7) (2, 7) (4, 7) (6, 7)}

R3 = {(x, y) (y, z) (z, t) (t, v)}

R1 and R3 are functions because first element in the ordered pair is not repeating, i.e they have unique images

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Write the equation of the parabola in vertex form vertex (0,0) passes through (2,1)
satela [25.4K]

Answer:

f(x)=\frac{1}{4}x^2

Step-by-step explanation:

Recall the vertex form of a quadratic equation:

f(x)=a(x-h)^2+k

Where (h,k) is the vertex.

We are told that the vertex is (0,0). Therefore:

f(x)=a(x-0)^2+(0)

Simplify:

f(x)=ax^2

So, to finish the equation, we need to find a.

We know that a point is (2,1). Thus, substitute 1 for f(x) and 2 for x:

1=a(2)^2

Square:

1=4a

Divide both sides by 4:

a=\frac{1}{4}

So, our a value is 1/4.

And we can thus complete our equation:

f(x)=\frac{1}{4}x^2

And we are done :)

6 0
3 years ago
Roberta stood on a 36 in. high chair, then jumped into a
Kamila [148]
36-18=18
ANSWER : C
good luck :)))
8 0
3 years ago
A parking lot is 4/5 full. There are currently 80 cars in the parking lot. How many cars need to leave the parking lot to make t
yulyashka [42]

Answer:

60

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which of the following is required by k-means clustering ? a. defined distance metric b. number of clusters c. initial guess of
mestny [16]

Answer:

d. all of the above

Step-by-step explanation:

K-means clustering is a term used to describe a technique of vector quantization, that attempts to partition "n" observations into "k" clusters whereby each observation refers to the cluster with the closest mean which represents a model of the cluster.

This implies that the K-means algorithm recognizes the "k" number of centroids, and then assigns every data point to the closest cluster while the centroids remain as small as possible.

Hence, the following is required of K-means clustering:

1. defined distance metric

2. number of clusters

3. initial guess of centroids

Therefore, in this case, the correct answer is option D: All of the above.

6 0
3 years ago
Which answer explains whether the table of value represents a function?
Wittaler [7]
The answer is A,

In a function, an x value can only be paired with one y value.
However, a y value and have multiple different x values, for example when you graph a constant/horizontal line.
8 0
3 years ago
Read 2 more answers
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