Find a mathematical model representing the statement. (Determine the constant of proportionality.)z varies directly as the square of x and inversely as y. (z = 36 when x = 9 and y = 3.)4x2Z= -Зу3x2z =4y3x2z= -4y4x2z =3y4xz =Зу

Topic Algebra: Given: z=36 when x=9 and y=3 Determine the constant of proportionality and find the…

Answered: varies directly as the square of x and…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter3: Graphs And Functions

Section3.3: Find The Equation Of A Line

Problem 3.61TI: Find an equation of a line perpendicular to the line y=3x+1 that contains the point (4,2) . Write...

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Find an equation of a line perpendicular to the line y=3x+1 that contains the point (4,2) . Write the equation in slopeintercept form.
Find an equation of a line parallel to the line y=3x+1 that contains the point (4,2) . Write the equation in slopeintercept form.
Electrical resistance The resistance of a wire varies directly as the length of the wire and inversely as the square of its diameter. A 1000-foot length of wire, 0.05 inch in diameter, has a resistance of 200 ohms. What would be the resistance of a 1500-foot length of wire that is 0.08 inch in diameter.
Automobile collisions The energy dissipated in an auto mobile collision varies directly with the square of the speed. By what factor does the energy increase in a 50-mph collision compared with a 20-mph collision?
Find an equation of a line parallel to the line y=12x3 that contains the point (6,4) .
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Xander’s new business found that the daily demand for its product was inversely proportional to the price, p. When the price is $5, the demand is 700 units. (a) Write the equation of variation. (b) What is the demand if the price is raised to $7?
The cost(c) of transmitting electric power partly varies as the cube of the distance(d)and partly varies inversely as the temperature(t) in which the power is illuminated. When the distance is 5miles at temperature 15`c the cost is GHc1,010 and when distance is 10miles at temperature 25`c the cost is GHc8,006.Find an equation connecting c,d,t. Find the cost of transmission when distance is 40miles and temperature of 30`c
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Translate the statement into an equation. (Use k to represent the constant of variation.) The electrical resistance R of a wire varies directly with the length / of the wire and inversely with the square of its diameter d. Additional Materials

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varies directly as the square of x and inversely as y. (z = 36 when x = 9 and y = 3.) 4x2 Зу 3x2 z = 4y 3x2 Z = - 4y 4x2 z = 3y