If y is directly proportional to x square and y equal 1/8 when x = 1/2 what is the positive value of x when y it was 9/2? a) 3/4
b) 3/2
c) 9/4
d) 3

d

Step-by-step explanation:

Given y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of proportion

To find k use the condition y = when x = , then

= k( )² = k ( multiply both sides by 8 )

1 = 2k ( divide both sides by 2 )

k =

y = x² ← equation of proportion

When y = , then

= x² ( multiply both sides by 2 )

9 = x² ( take the square root of both sides )

x = ± = ± 3

with positive value x = 3 → d

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol