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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.
5/2
Find ( 1 β + 2ΒΌ) x 1β΅β
Say, find the reciprocal of 2 = 1/2 Reciprocal of 1/2 = 2
f(2) = 24.
25
x = 24
-6/y=5/-2 5y=12 y=12/5
2
4
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.
The statement " y varies inversely as x means that when x increases, y decreases by the same factor.In other words, the expression xy is constant:xy = kwhere k is the constant of variation.We can also express the relationship between x and yas:y = k / xwhere k is the constant of variation.Example 1: If y varies inversely as x , and y = 6 when x = , write an equation describing this inverse variation.k = (6) = 8xy = 8 or y = 8 / ZThat's an example of an inverse variation!Example 2: If y varies inversely as x , and the constant of variation is k = , what is y when x = 10 ?xy =10y =y = × = × =k is constant. Thus, given any two points ( x 1, y 1 ) and ( x 2, y 2 ) which satisfy the inverse variation, x 1 y 1 = k and x 2 y 2 = k . Consequently, x 1 y 1 = x 2 y 2 for any two points that satisfy the inverse variation.Example 3: If y varies inversely as x , and y = 10 when x = 6 , then what is y when x = 15 ?x 1 y 1 = x 2 y 26(10) = 15y60 = 15yy = 4Thus, when x = 6 , y = 4 .Hope I helped!
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.
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
xy = 8 or y = 8/x
2=8/4 the constant is 8 y-k/x i think.
k = 2 Explanation: when z varies directly proportional to x means a division c = z x where c is a constant of proportionality when z varies inversely proportional to x it means a product z y = c now with both k = z y x z = 8 ; x = 12 and y = 3 k = 8.3 12 k = 2