Simplify.<br> - 6x + 8/6 - 3/2x

Recycled CDs, Incorporated, offers a choice of 5 used CDs for $27, with each additional CD costing $5. Write a cost function

notka56 [123]

A function assigns the values. The cost of 6 CDs will be $32.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given that the Recycled CDs. Incorporated, offers a choice of 5 used CDs for $27, with each additional CD costing $5. Therefore, a cost function for purchasing 5 or more CDs, where x represents the number of CDs over 5 can be written as,

C(x) = $27 + $5(x)

Now, if 6 CDs are purchased then the number of CDs that are more than 5 is 1. therefore, the cost of 6 CDs will be,

C(1) = $27 + $5(1)

= $27 + $5

= $32

Hence, the cost of 6 CDs will be $32.

Learn more about Function here:

brainly.com/question/5245372

#SPJ1

8 0

1 year ago

What are the quotient and remainder of (3x^4+ 2x^2 - 6x + 1) /(x + 1)

quester [9]

Answer:

all work is shown and pictured

4 0

3 years ago

What is the rate of change for y=38x+20<br> A. 38<br> B. 20<br> C.1<br> D. it has no term

djverab [1.8K]

Answer:

A

Step-by-step explanation:

8 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...

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