shisui666
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

y is inversely proportional to the cube of x. When x = 1/2, y = 24.
(a) Find the formula for y in terms of x

Sagot :

chidichurri

Answer:

y=3/x^3

Step-by-step explanation:

y = k / x^3

24 = k / 1/2^3

Cross Multiply:

24 × 1/2^3 = k

3 = k

Since k is 3, then:

y=3/x^3

Answer:

y = [tex]\frac{3}{x^3}[/tex]

Step-by-step explanation:

Given y is inversely proportional to x³ then the equation relating them is

y = [tex]\frac{k}{x^3}[/tex] ← k is constant of proportion

To find k use the condition when x = [tex]\frac{1}{2}[/tex] , y = 24

24 = [tex]\frac{k}{(\frac{1}{2}) ^{3} }[/tex] = [tex]\frac{k}{\frac{1}{8} }[/tex] = 8k ( divide both sides by 8 )

3 = k

y = [tex]\frac{3}{x^3}[/tex] ← equation of proportion

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.