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3 years ago

The set of ordered pairs represents a function. Write a rule that represents the function.

Mathematics

1 answer:

Furkat [3]3 years ago

7 0

Answer:

y = 3x^3 is the rule representing the function.

Step-by-step explanation:

There are 4 points given.

(0,0), (1,3), (2,24), (3,81), (4,192)

We are asked to find the function or rule connecting x and y

On seeing the pair, first let us find y/x

We observe that y is a multiple of 3. Let us find the values of y/3

y/3 = 0, 1, 4, 9, 16

= 0^2,1^2,3^2,4^2,....

i.e. y/3 is the square of x.

Hence relation is y = 3x^2

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Which expression represents the circumference of a circle when r is the radius and d is the diameter of the circle?

Serhud [2]

Circumference = 2πr or πd

The formula for circumference is 2πr (2 times pi times the radius)
2r = d (The radius x 2 = the diameter), so the circumference also = πd (pi times the diameter)

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3 years ago

Hi, can someone please help me? explain it, please!

alexdok [17]

Answer:

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3 years ago

Read 2 more answers

Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325.

erastova [34]

Y=mx+b

m=(325-180)/(9-4)

m=145/5

m=29

y=29x+b, using point (4,180) we can solve for b

180=29(4)+b

180=116+b

64=b, so the line is:

y=29x+64

Now the standard form of a line is ax+by=c so:

-29x+y=64 (by convention the coefficient of x should be positive so)

29x-y=-64

...

We can use the point-slope form we found earlier...

f(x)=29x+64

...

This is just a line so you can use any two points to graph it.

Connect (1,93) to (2,122) and extend upward and to the right as far as you please. The x-axis should be labeled "days" and the y-axis as "dollars".

7 0

4 years ago

Please Help Me On These Questions!!!!!! I need Help!!!!!

melisa1 [442]

1. This is one confusing question... But here is what I did
x = 2y + 1
y = $3y^{2}$ + 2x

So plug in Y to solve for X
x = 2 ( $3y^{2}$ + 2x) + 1
x = $-2y^{2}$ - $\frac{1}{3}$
Not sure if that's completely correct, but I'm positive I didn't make any mistakes...

5. You have to find the multiples of 60 so...

1 60
2 30
3 20
4 15
<span>5 12 <---

7 = 12 - 5</span>

4 0

3 years ago

Please answer ASAP. The question is down below.

Butoxors [25]

Answer: 1) c 2) d

<u>Step-by-step explanation:</u>

Use Pythagorean Theorem to find the hypotenuse (r): x² + y² = r²

Given: x = 2, y = 6

2² + 6² = r²

4 + 36 = r²

40 = r²

$\sqrt{40}=r$

$\sin \theta=\dfrac{y}{r}\quad =\large\boxed{\dfrac{6}{\sqrt{40}}}\quad \rightarrow \dfrac{6}{2\sqrt{10}}\quad \rightarrow \dfrac{3}{\sqrt{10}}$

*******************************************************************************************

$\sin \theta = \dfrac{opposite(y)}{hypotenuse(r)}\quad =\dfrac{12}{20}\quad \rightarrow \dfrac{3}{5}\quad \rightarrow \large\boxed{0.6}\\\\\\\cos \theta = \dfrac{adjacent(x)}{hypotenuse(r)}\quad =\dfrac{16}{20}\quad \rightarrow \dfrac{4}{5}\quad \rightarrow \large\boxed{0.8}$

5 0

3 years ago