R(x)=f(x)+g(x) where f(x)=2x2+7x−28x2−16 and g(x)=7x+4−x2+16

R(X) = -27x^2 + 14x + 4

Step-by-step explanation:

f(x) = 2x^2 + 7x - 28x^2 - 16

Combine like terms

f(x) = -26x^2 + 7x - 16

now for g(x)

g(x) = 7x + 4 - x^2 + 16

g(x) = -x^2 + 7x + 20

Now to solve the main equation

R(x) = --26x^2 + 7x - 16 - x^2 + 7x + 20

Combine like terms

R(x) = -27x^2 + 14x + 4

Hope this helped!

it would be:

c.parallelogram.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 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.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

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

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.