Hanai invested $20,000, part at 3% interest and part at 5% interest. the
investment returned $800.

a. what is the system of equations that represents this situation?

b. how was the original $20,000 investment split between the two interest
rates?

c. how would the investment need to be split to make more than $800?
how do you know?

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

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: