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FromTheMoon [43]
3 years ago
15

I need an answer ASAP!

Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0
50% chance of you landing on heads
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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:

  1. Direct
  2. 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
56 with 75% increase
valina [46]

Answer:133

Step-by-step explanation:

7 0
3 years ago
PLEASE ANSWER QUICKLY AND HELP ME!! THANK YOU SO MUCH!!
coldgirl [10]
Hello there!

To start off this problem, let's replace f(x) with x in the equation. This gives us the following.

x= \dfrac{3}{4} x+12

Subtract 3/4*x from both sides.

x- \dfrac{3}{4} x=12

\dfrac{4}{4} x-\dfrac{3}{4}x=12

\dfrac{1}{4} x=12

Now, multiply both sides by 4 to eliminate the fraction on the left side.

x=12*4=48

Your answer is B. Hope this helps! :)
5 0
3 years ago
PLEASE HELP ASAP!!
Airida [17]

Answer:

C

Step-by-step explanation:

Hey There so the first step of this problem is to find the formula for circumference

C=2\pi r

given some of the values we can form an equation to solve for the radius (r)

31.4=3.14(2)r\\3.14(2)=6.28\\31.4=6.28r\\\frac{31.4}{6.28} =5

so we can conclude that the radius is equal to 5

7 0
3 years ago
Read 2 more answers
Y=1/4x-2 write in standard form
oksian1 [2.3K]

Answer: hvdwc bc3uich3jbf 3ichb3lfbd3piujbvler

ion bro

Step-by-step explanation:

5 0
3 years ago
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