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Andreas93 [3]
3 years ago
11

y is inversely proportional to a^3. When a=2, y=10. a is directly proportional to x. When x=4, a=20. Find a formula for y in ter

ms of x. Give your answer in simplest form
Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Answer:

<h2>y = 16/25x³</h2>

Step-by-step explanation:

If y is inversely proportional to a^3, this is expressed as;

y∝1/a³

y = k/a³ where k is the proportionality constant

Given a=2, y=10, then 10 = k/2³

k = 10*2³

k = 80

Substituting k = 80 back into the formula;

y = 80/a³ ............. 1

Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx

If x=4, a=20 then;

20 = 4k

k = 20/4

k = 5

Substituting k = 5 back into the formula;

a = 5x ....... 2

Substitute equation 2 into 1;

y = 80/a³

y = 80/(5x)³

y = 80/125x³

y = 16/25x³

<em>Hence the formula for y in terms of x is y = 16/25x³</em>

<em></em>

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Answer:

4!

Step-by-step explanation:

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Also, the first digit can only be two because other numbers would make it bigger than 300.

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3 years ago
What is the substitution of -6x-8y=-20 and x+6y=-6
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Substitution doesn't work for this, but elimination does.

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the sum of the digits of a two number is 14 .if 36 is substracted from the number,the places of the digits are reversed.find the
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The number in the ones place= X
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y+x=14.
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Original placement of numbers=10y+x
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10(14-x)+ x-36=10x+(14-x)
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Answer:

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Step-by-step explanation:

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