In Exercises 11-20, write an equation that expresses each relationship. Then solve the equation for y. 11. x varies jointly as y and z. 12. x varies jointly as y and the square of z. 13. x varies directly as the cube of z and inversely as y. 14. x varies directly as the cube root of z and inversely as y. 15. x varies jointly as y and z and inversely as the square root of w. 16. x varies jointly as y and z and inversely as the square of w. 17. x varies jointly as z and the sum of y and w. 18. x varies jointly as z and the difference between y and w. 19. x varies directly as z and inversely as the difference between y and w. 20. x varies directly as z and inversely as the sum of y and w.
In Exercises 11-20, write an equation that expresses each relationship. Then solve the equation for y. 11. x varies jointly as y and z. 12. x varies jointly as y and the square of z. 13. x varies directly as the cube of z and inversely as y. 14. x varies directly as the cube root of z and inversely as y. 15. x varies jointly as y and z and inversely as the square root of w. 16. x varies jointly as y and z and inversely as the square of w. 17. x varies jointly as z and the sum of y and w. 18. x varies jointly as z and the difference between y and w. 19. x varies directly as z and inversely as the difference between y and w. 20. x varies directly as z and inversely as the sum of y and w.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 3P
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Transcribed Image Text:In Exercises 11-20, write an equation that expresses each
relationship. Then solve the equation for y.
11. x varies jointly as y and z.
12. x varies jointly as y and the square of z.
13. x varies directly as the cube of z and inversely as y.
14. x varies directly as the cube root of z and inversely as y.
15. x varies jointly as y and z and inversely as the square root of w.
16. x varies jointly as y and z and inversely as the square of w.
17. x varies jointly as z and the sum of y and w.
18. x varies jointly as z and the difference between y and w.
19. x varies directly as z and inversely as the difference between
y and w.
20. x varies directly as z and inversely as the sum of y and w.
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