F(x) = x2. What is g(x)?

Please answer this question now

Kaylis [27]

Answer:

JK= 3 in

Step-by-step explanation:

There is a theorem that says that the angle of a tangent and the radius is of 90°

so we can use the pythagora's theorem

$JK^2+JH^2=HK^2\\JK^2+(4)^2=(5)^2\\JK^2+16=25\\JK^2=9\\JK=3$

5 0

3 years ago

Read 2 more answers

Two trains leave the station at the same time one heading east and one heading west the eastbound train travels 80 miles per hou

k0ka [10]

100*2.2=220
80*2=176
220+176=396

So the two trains will take 2.2 hours so that they are 396 miles apart.

5 0

3 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

1 year ago

A particular bacterial colony doubles its population every 15 hours. A scientist running an experiment is starting with 100

masya89 [10]

Answer:

d

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

I NEED HELP ASAP!!!!!

MAXImum [283]

Answer:

Part A)

The observation from the the table indicates that if the value of variable $x$ increases, the value of variable $y$ also increases.

Part B)

$y=6x+10$ is the function that bets fits the data.

Part C)

The slope defines that a single worker is able to produces 6 units.Thus, for a given number of workers x, the units produced would be $6x$ .

The y-intercept defines that for the total number of units produced $y$ by $x$ number of workers, $10$ units would be added.

Step-by-step explanation:

Part A)

We know that

Negative correlation means when one variable decreases, then the other variable also decreases.

Positive correlation means when one variable increases, then the other variable also increases.

Given the table data

Number of employees (x)

(x) 0 25 50 75 100 125 150 175 200

Number of Products (y)

(y) 10 160 310 460 610 760 910 1060 1210

The observation from the the table indicates that if the value of variable $x$ increases, the value of variable $y$ also increases.

Thus, the two variables i.e. Number of employees (x) and Number of Products (y) will have positive correlation.

Please check the attached graph in figure a to determine that the positive correlation as the value of variable $x$ increases when the value of variable $y$ also increases.

Part B)

Given the table data

Number of employees (x)

(x) 0 25 50 75 100 125 150 175 200

Number of Products (y)

(y) 10 160 310 460 610 760 910 1060 1210

As we know that the point slope form

$y=mx+b$