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kow [346]
3 years ago
14

It is known that a certain function is an inverse proportion. Find the formula for this function if it is known that the functio

n is equal to 12 when the independent variable is equal to 2.
Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

Answer:

y=\frac{24}{x}

Step-by-step explanation:

We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.  

We know that two inversely proportional quantities are in form y=\frac{k}{x}, where y is inversely proportional to x and k is constant of variation.

Upon substituting y=12 and x=2 in above equation, we will get:

12=\frac{k}{2}

Let us solve for constant of variation.

12\cdot 2=\frac{k}{2}\cdot 2

24=k

Now, we will substitute k=12 in inversely proportion equation as:

y=\frac{24}{x}

Therefore, the formula for the given scenario would be y=\frac{24}{x}.

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Is 24 the correct LCD to use for subtracting 6 3/4 - 1 2/6 ? Why or why not?
zimovet [89]

Answer:

Step-by-step explanation:

A

No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.

B

Factor each number into it's primes.

24 =<u> 2*2*2</u>*3

32 = <u>2*2*2</u>*2*2

The highest common factor is 2*2*2 = 8

C

9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.

6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2

3 0
2 years ago
Two lines are represented by the equations -1/2y=6x+10 and y=mx for which value of m will the lines be parallel
hjlf

Answer:

-12

Step-by-step explanation:

So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).

Then, we  need to know the slope-intercept form of an equation. The slope intercept form is y=mx+b where m is the slope of the line and b is the y-intercept. In this problem where can see the second equation is already in this form.

Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.

To do this, we know we need to make sure y is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have -\frac{1}{2} y so we have to divide both sides by -\frac{1}{2} to get y=-12x -20

Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or m in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.

8 0
3 years ago
I'll give BRAINIEST<br><br> .............
Andrew [12]
Its 0.25. ez. i hope i helped :)

3 0
3 years ago
The pre–image, A, was dilated about the origin. It was then transformed in another way to get A'.
Elenna [48]

Answer:

reflection over the x-axis

Step-by-step explanation:

i hope this helps

6 0
3 years ago
Read 2 more answers
Which graph represents the solution to the given system? y=5x+4; y=5x-3
Mars2501 [29]

Hello from MrBillDoesMath!

Answer:

The lines do not intersect


Discussion:

Where do the lines intersect?

5x + 4 = 5x - 3     =>                   subtract 5x from both sides

4         =       -3      =>  NO WAY! The lines do not intersect


Thank you,

MrB

3 0
3 years ago
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