How to solve problem kathy spent 3 fifths of her money on a necklace and 2 thirds of the remainder on a bracelet. If the bracelet costs $17.00, how much money did she have at first.

she had $63.75 at first.

Step-by-step explanation:

Let x represent the amount of money that she had at first.

kathy spent 3 fifths of her money on a necklace. This means that the amount of money that she spent on the necklace is

3/5 × x = 3x/5

The amount of money remaining would be

x - 3x/5 = 2x/5

She used 2 thirds of the remainder on a bracelet. This means that the amount of money that she spent on the bracelet is 2/3 × 2x/5 = 4x/15

If the bracelet costs $17.00, then

4x/15 = 17

4x = 15 × 17

4x = 255

x = 225/4

x = 63.75

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this