The leading coefficients are opposites.
For instance
f(x) = 2x^2 + 5x + 6
g(x) = -2x^2 + 8x - 3
here the leading coefficients 2 and -2 are opposites
Adding function f(x) and g(x) gets us
f(x) + g(x) = (2x^2+5x+6) + (-2x^2+8x-3)
f(x) + g(x) = (2x^2-2x^2) + (5x+8x) + (6-3)
f(x) + g(x) = 0x^2 + 13x + 3
f(x) + g(x) = 13x + 3
The two quadratics add up to a linear equation
Answer:
0.61
Step-by-step explanation:
Answer:
the rate of change is -4
Step-by-step explanation:
it's set up as y=mx+b
m is the rate of change
b is the y-intercept
m= -4
b=9
The perimeter of the rectangle is the sum of its dimensions
The dimensions that minimize the perimeter are 
The area is given as:

Let the dimension be x and y.
So, we have:

Make x the subject

The perimeter is calculated as:

Substitute 

Expand

Differentiate

Set to 0

Rewrite as:

Divide both sides by -1

Multiply y^2

Divide by 2

Take square roots of both sides


Substitute
in 



Hence, the dimensions that minimize the perimeter are 
Read more about perimeters at:
brainly.com/question/6465134