if y varies jointly as the square of x and the cube of z and inversely as the square root of w. When x = 2, z = 2, and w = 64, then y = 12. Find y when x = 1, z = 3, and w = 4.

40.5

Step-by-step explanation:

if y varies jointly as the square of x and the cube of z and inversely as the square root of w, this is expressed as;

y ∝ x²z³/√w

y = kx²z³/√w

If x = 2, z = 2, y = 12 and w = 64

Substitute;

12 = k (2)²(2)³/√64

12 = 32k/8

12 = 4k

k = 12/4

k = 3

To get y when x = 1, z = 3, and w = 4.

y = 3 (1)²(3)³/√4

y = (3*27)/2

y = 81/2

y = 40.5

Hence the value of y is 40.5

i got 86 for this

hope this !

if you need an explanation just ask

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0