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Mekhanik [1.2K]
3 years ago
11

Suppose that x and y vary inversely, and x = 10 when y = 8. Write the function that models the inverse variation.

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer:

c. y=\frac{80}{x}

Step-by-step explanation:

Given:

x and y vary inversely.

Therefore, we can express y in terms of x as:

y=\frac{k}{x}

Where, k is a constant of proportionality.

Now, at x=10,y=8

Plug in 10 for x and 8 for y in the above equation and solve for k.

This gives,

8=\frac{k}{10}\\k=8\times 10=80

Therefore, the function that models the inverse variation is :

y=\frac{k}{x}\\y=\frac{80}{x}.

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Answer:

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Step-by-step explanation:

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2 years ago
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When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
stiks02 [169]

Answer:

<h2>35x - 35y + 21</h2>

solution,

0.5(20x - 50y + 36) - 0.25( - 100x + 40y - 12) \\  = 10x - 25y + 18  + 25x - 10y + 3 \\

Combine the like terms:

= 10x + 25x - 25y - 10y + 18 + 3 \\

Simplify:

35x - 35y + 21

Hope this helps...

Good luck on your assignment...

6 0
3 years ago
3-(-6/7)(3/8) what will it equal?
kompoz [17]
This is equals 3 and 18/56 which reduces to 3 and 9/28 all you have to do is plug it the calculator like it is shown and then you will get this answer
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3 years ago
What algebraic expression must be added to the sum of 3x2 +4x+8 and 2x2−6x+3 to give 9x2−2x−5 as the result?
vesna_86 [32]

Answer:

4x^2-16

Step-by-step explanation:

-This is an addition/subtraction problem.

#We subtract the sum of the first two expression from the third expression:

\#Add \ first \ two\\\\=3x^2 +4x+8 +2x^2-6x+3\\\\=5x^2-2x+11\\\\\# Subtract\ from \ the \ third\\=(9x^2-2x-5)-(5x^2-2x+11)\\\\=9x^2-2x-5-5x^2+2x-11\\\\=4x^2-16

Hence, the expression 4x^2-16 must be added to the first two.

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Answer:

There are many ways you can write this as an equation:

d=p-20 %%

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3 years ago
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