Given: F(x) = 2x 2 + 1, G(x) = 2x - 1, H(x) = x

F(x) + G(x) =

 2x(x+1)

Step-by-step explanation:

F(x) + G(x) =2x^2+1+2x-1

                 =2x^2+2x

                =2x(x+1)

6x

Step-by-step explanation:

i am not quite sure why you have provided H(x), and i am assuming f(x) = 2x * 2 + 1

with that into consideration we can simplify f(x)

f(x) = 2x*2+1

= 4x+1

question -> f(x) + g(x)

= (4x+1) + (2x -1)

1 and -1 can get cancelled and 4x + 2x = 6x

thus the answer is 6x

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .