Ana has 1/2 hour of free time. she divides the time equally between walking her dog and playing her favorite song on the piano. if she plays the song 3 times, how long is the song? give your answer as a fraction of an hour. write division equations to represent the problem.

Amount of free time Ana has =

If she divides the time equally  between walking her dog and playing her favorite song on the piano, then time she spends on playing her favorite song on the piano =  (Free time) ÷ 2

hour

i.e. Time she spends on playing her favorite song on the piano = hour

If she plays the song 3 times , then the length of each song (x) =

Hence , the length of the song is hour.

step-by-step explanation:

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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: