The set of ordered pairs represent a function. Write a rule that represent the function. (0,0), (1,6),(2,24), (3,54),(4,96)

Answers

Answer 1

Answer:

The required function would be f(x) = 6x² which represents the set of ordered pairs.

What is a function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

We have been given that function as sets of ordered pairs :

(0,0), (1,6), (2,24), (3,54), (4,96)

First, we must identify a pattern. It appears that all yₓ values are multiples of 6.

We can divide yₓ by 6x since it is a multiple of 6 and a multiple of x:

y₁/ 6×1 = 1

y₂/ 6 ×2 = 2

y₃/ 6 ×3= 3

y₄/6×4 = 4

We can clearly see a pattern here ;

y/ 6×x = x

y = x × x × 6

y = 6x² = f(x)

Therefore, the required function would be f(x) = 6x² which represents the set of ordered pairs.

Learn more about the functions here:

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Answer 2

Answer: All y coordinates are divisable by 6. What you then get is the square of x, so the function is:

f(x) = 6x²

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Answers

Answer:

squareroot 18, 9, 4pi, 14

b - squareroot of 4 is 2and the squareroot of 9 is 3. 5 is between 4 and 9, meaning it must be between 2 and 3. Also a negative so on the left of the 0.

c - sqrt of 1 is 1 and sqrt of 4 is 2. between 1 and 2. closer to 2 (because 3 is closer to 4) than to 1.

j=irrational cant be in fraction form

k=rational is in raction form

l= rational it equals 4 which is an integer

m=irrational because it has pi in it

for the graph...

j=3.46

k=1.88

l=4

m=4.71

Step-by-step explanation:

Use a calculator or think about perfect squares to determine answers.

rational can be a fraction or integer, irrational has pi or a decimal.

Can you help me with these please

Answers

Hello

1)
$(2x(x-3))/((x-1)(x+1))*(x(x-1))/((x-3))*(3(x+1))/(1)$
$=(6x(x+1))/(x+1)=6x$

2)
$(2(x-1)-(x+1)-(x+2))/((x-1)(x+1)(x+2))=(-5)/((x-1)(x+1)(x+2))$

74 students were chosen from a local university to participate in a study. Every student attending the university had an equal possibility of being chosen. Which sampling method was used?sample

census

random selection

voluntary response

Answers

Answer: random selection

Step-by-step explanation:

Given: 74 students were chosen from a local university to participate in a study. Every student attending the university had an equal possibility of being chosen.

Since we know that only in random selection the participants have the equal probability to get selected.

Hence, the sampling method used her is random sampling.

Random sampling is a method of selecting a sample of individuals from a population where the chances of each individual of getting selected is equal.

The answer is : Random Selection

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