Answer:
x = 4 and -10
Step-by-step explanation:
Given the equation
x²+6x-40= 0
The common factors to use for the factorisation are +10 and -4
x²+(10x-4x)-40=0
(x²+10x)-(4x-40) = 0
x(x+10)-4(x+10) = 0
(x-4)(x+10) = 0
x-4 =0 and x+10 = 0
x = 4 and x = -10
Green is 4 and Purple is 6 so you put it in a fraction by adding all of them and the just green and purple so 10/30 simplified is 1/3.
Answer:
1) 
2) 
3) 
Step-by-step explanation:
So we have the two functions:

And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).
1)
(f+g)(x) is the same to f(x)+g(x). Substitute:

Combine like terms:

Add:

So:

2)
(f-g)(x) is the same to f(x)-g(x). So:

Distribute:

Combine like terms:

Simplify:

So:

3)
(f*g)(x) is the same to f(x)*g(x). Thus:

Distribute:

Distribute:

Combine like terms:

Simplify:

So:
