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4 years ago

The function f(x) varies inversely with x and f(x)=1.6 when x=0.5. what is f(x) when x=3.2

Mathematics

1 answer:

balandron [24]4 years ago

5 0

Hello from MrBillDoesMath!

Answer: f2(3.2) = 1.4

Discussion:

f2(x) varies inversely with x means that f2(x) = k\x where "k" is a constant.

As f2(x) = 1.6 when x = 0.5 substitution gives

f2(.5) = 1.6 = k/(.5) = k /(1/2) = 2k

so k = 1.6/2 = .8

(end of part 1)

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Answer:

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3 years ago

4.5x – 2y = 15<br> 3x - y =10<br><br> (answer as a combined pair)

prisoha [69]

Answer:

x = 10/3 , y = 0

Step-by-step explanation:

Solve the following system:

{4.5 x - 2 y = 15

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In the first equation, look to solve for x:

{4.5 x - 2 y = 15

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{x = (4 y)/9 + 10/3

3 ((4 y)/9 + 10/3) - y = 10

3 ((4 y)/9 + 10/3) - y = ((4 y)/3 + 10) - y = y/3 + 10:

{x = (4 y)/9 + 10/3

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In the second equation, look to solve for y:

{x = (4 y)/9 + 10/3

y/3 + 10 = 10

Subtract 10 from both sides:

{x = (4 y)/9 + 10/3

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Multiply both sides by 3:

{x = (4 y)/9 + 10/3

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Substitute y = 0 into the first equation:

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3 years ago

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Answer:

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