I REALLY NEED HELP!! PLEASE HELP ME!

x^2 - 3x - 40 = 114.

Step-by-step explanation:

They offered x styles and x colours last year.

After increasing by 5 and decreasing by 8 they offered

(x + 5)(x - 8) and this equals 114.

So (x + 5)(x - 8) = 114

x^2 - 3x - 40 = 114.

This works out to 14 styles.

We can check the result  as follows

Last year the number of combinations of color and style was 14*14 = 196.

This year it is 14+ 5 = 19 styles and 14 - 8 = 6 colors.

This comes to 19 * 6 = 114.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3