jenny planned to solve 2/3 of her homework problems on saturday. however she got home late and had less time than planned. as a result she solved only 7/8 of the problems she planned to solve. how many problems are in jenny's notebook if she solved 28 problems on saturday

48 problems

Step-by-step explanation:

Jenny planned to solve 2/3 of homework

On Saturday she solved 28 problems, which is 7/8 of the planned number

Planned number is:

28 : 7/8 = 28 * 8/7 = 32 problems

Jenny's homework was:

32 : 2/3 = 32 * 3/2 = 48 problems

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: