Three quarters of a jug was filled with water. Jyoti poured out half of the water present in the jug into a glass. What part of the jug is filled now?

1/8

Step-by-step explanation:

Initially the jug was filled three quarters that is ¾. And jyoti poured out half of the water present in the jug. We need to find out which part of jug is filled. So since half of water is taken , hence water taken = 3/4 ÷ 2 = 3/4 × 1/2 = 3/8

⇒ Water left = 3/4 - 3/8

⇒ Water left = 6 - 3/8

⇒ Water left = 1/8

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: