Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

2. If x is directly proportional to y^3 and x=32 when y=2, i) Find an equation
connecting x and y, ii) Find the value of x when y=6, iii) Calculate the value
of y when x=108. *

Sagot :

mercy17

Answer:

(i)

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

(ii)

[tex] \frac{x}{y {3}^{} } = \frac{x}{y {3}^{} } \\ \frac{32}{ {2}^{3} } = \frac{x}{6 {}^{3} } \\ \frac{32}{8} = \frac{x}{216} \\ x = 864[/tex]

(iii)

[tex] \frac{32}{8} = \frac{108}{y {}^{3} } \\ {y}^{3 } = 27 \\ y = \sqrt[3]{27 } \\ y = 3[/tex]

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.