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2 years ago

What’s the domain, range, and is it a function?

Mathematics

1 answer:

Mrrafil [7]2 years ago

6 0

The Domain is the set of x coordinates in a relation; the independent variable

The Range is the set of y coordinates in a relation; the dependent variable

Function- a relation is a function of each number in the domain appears only once

*Its Only A Function If The Numbers In The Domain DO NOT Repeat*

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Ira Lisetskai [31]

Whats the question??

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2 years ago

What is the greatest common factor of 73 and 30

sergij07 [2.7K]

Answer:1

Step-by-step explanation:

they have no other common factors

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3 years ago

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Write 3.16 as a mixed number in lowest terms

Yakvenalex [24]

$3.16=3 { \frac {16}{100} }== \gt mixed\ number \\ \ \ \ \ \ \ \ \ =3 { \frac {\ 4\ }{\ 25\ } } == \gt lowest\ term$

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2 years ago

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Consider the equality xy k. Write the following inverse proportion: y is inversely proportional to x. When y = 12, x=5.

skelet666 [1.2K]

Answer:

$y=\dfrac {60} {x}$ or $xy=60$ (depending on your teacher's format preference)

Step-by-step explanation:

<h3><u>Proportionality background</u></h3>

Proportionality is sometimes called "variation". (ex. " 'y' varies inversely as 'x' ")

There are two main types of proportionality/variation:

Direct
Inverse.

Every proportionality, regardless of whether it is direct or inverse, will have a constant of proportionality (I'm going to call it "k").

Below are several different examples of both types of proportionality, and how they might be stated in words:

$y=kx$ y is directly proportional to x
$y=kx^2$ y is directly proportional to x squared
$y=kx^3$ y is directly proportional to x cubed
$y=k\sqrt{x}}$ y is directly proportional to the square root of x
$y=\dfrac {k} {x}$ y is inversely proportional to x
$y=\dfrac {k} {x^2}$ y is inversely proportional to x squared

From these examples, we see that two things:

things that are <u>directly proportional</u> -- the thing is <u>multipli</u>ed to the constant of proportionality "k"
things that are <u>inversely proportional</u> -- the thing is <u>divide</u>d from the constant of proportionality "k".

<h3><u>Looking at our question</u></h3>

In our question, y is inversely proportional to x, so the equation we're looking at is the following $y=\dfrac {k} {x}$ .

It isn't yet clear what the constant of proportionality "k" is for this situation, but we are given enough information to solve for it: "When y=12, x=5."

We can substitute this known relationship pair, and find the "k" that relates this pair of numbers:

<h3><u>Solving for k, and finding the general equation</u></h3>

General Inverse variation equation...

$y=\dfrac {k} {x}$

Substituting known values...

$(12)=\dfrac {k} {(5)}$

Multiplying both sides by 5...

$(12)*5= \left ( \dfrac {k} {5} \right ) *5$

Simplifying/arithmetic...

$60=k$

So, for our situation, k=60. So the inverse proportionality relationship equation for this situation is $y=\dfrac {60} {x}$ .

The way your question is phrased, they may prefer the form: $xy=60$

7 0

1 year ago

the length of a rectangle is 7 inches greater than three times its width write an expression to represent its area

icang [17]

Step-by-step explanation:

Let the length be L.

Let the breath be B.

So, we are given that

length of a rectangle is 7 inches greater than three times its width .

So, according to the Question,

L = 7+ 3B.

So, we know that:-

Area = Length× Breadth.

So, it will be

B × (7 + 3B) = Area.

So,

3B² + 7 is an expression to represent its area.

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3 years ago