y varies directly as x and inversely as the square of z. y equals 36 when x equals 75 and z equals 5. Find y when x equals 3 and z equals 9.
Added by Mariano C.
Step 1
- y varies directly as x, which means \( y = kx \) for some constant \( k \). - y varies inversely as the square of z, which means \( y = \frac{k}{z^2} \). Combining these two relationships, we get: \[ y = \frac{kx}{z^2} \] Show more…
Show all steps
Close
Your feedback will help us improve your experience
Steven Clarke and 86 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
y varies directly as x and inversely as the square of z.y=24 when x =50 and z= 5. find y when x=3 and z =12.
Steven C.
y varies directly as x and inversely as the square of z. y = 36 when x = 48 and z = 2. Find y when x = 63 and z = 3.
Gregory H.
y varies directly as x and inversely as the square of z. y = 27 when x = 75 and z = 5. Find y when x = 54 and z = 3.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD