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3 years ago

Explain how graphs are used and what their advantages are

2 answers:

6 0

Graphs are used to put numbers in a visual form, like a bar graph showing population growth over time. Their advantage is that it helps the viewer understand the situation by seeing it in a easier way.

Liono4ka [1.6K]3 years ago

6 0

Graphs are great way of seeing the relationships between data and give great visuals of data

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Eya is 5 years younger than 3 times Bills age. If Eya is 28 how old is Bill?

Sedaia [141]

Bill's age = x

Eya's age = 3x - 5

Eya is 28

28 = 3x - 5

28 (+5) = 3x -5 (+5)

33 = 3x

33/3 = 3x/3

x = 11

Bill = x

x = 11

Bill is 11 years old

hope this helps

4 0

4 years ago

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

2 years ago

What concepts do you think belong in Geometry of mathematics?

dezoksy [38]

Fractions Area Volume length h

5 0

4 years ago

Determine the sum of the following arithmetic series: 3, 10, 17, 24,<br> 498

shepuryov [24]

Answer:

552

Step-by-step explanation:

when the sum of 3+10+17+24+498 is done it becomes 552

6 0

3 years ago

PLEASE HELP ME!!<br> .<br> . Not sure how to do thisssss

tino4ka555 [31]

√72 = √4 * √18 = 2√18. Therefore her answer is incorrect.

√72 = √4 * √9 * √2 = 6√2.

Since √2 is approximately 1.41,

6 * 1.41 = 8.46 = 8.5 (nearest tenth).

4 0

3 years ago