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The answer is x=10. If: x=20 y=8 z=4 then: y=8/2=4 z=4*2=8 since x varies directly with y, meaning whatever happens to y, happens to x, so if y was divided by 2, then x should be divided by 2. After all, the inverse of division is multiplication.
f(2) = 24.
To find one fourth of 24, you can divide 24 by 4. Since 24 divided by 4 is 6, one fourth of 24 is 6.
1/6 x 24 = 4
(4*3*2)+(4*3*2)+(4*4*2)= 24+24+32=80
y is 12
25
The statement "y varies inversely as the square of x" means that in function form y(x) = k/x2, where k is an (initially) unknown constant. The second condition can be written in algebraic form as 4 = k/32 ; or k = 4 X 9 = 36; Then y(2) = 36/22 = 9.
y varies inversely as x2 so y = c/x2 for some constant c. When x = 5, y = 4 So c = x2y = 100 that is y = 100/x2 Then, when x = 2, y = 100/4 = 25
The answer is x=10. If: x=20 y=8 z=4 then: y=8/2=4 z=4*2=8 since x varies directly with y, meaning whatever happens to y, happens to x, so if y was divided by 2, then x should be divided by 2. After all, the inverse of division is multiplication.
When the resistance is 960 ohms and the current is 2 amperes, we can use the formula for inverse variation: ( current \times resistance = constant ). Thus, ( 2 \times 960 = constant ), which is ( 1920 ). So, if the resistance changes to a new value, we can find the new current by dividing the constant by the new resistance.
E = 24/z or, equivalently, z = 24/E
f(2) = 24.
2=8/4 the constant is 8 y-k/x i think.
z = 8/3.
xy = 8 or y = 8/x
1/4 of 24 = 24/4 = 6