Find the perimeter of a triangle if the three sides are
4x^2-x+4, 2x^2-2x+1, x^2+8x+3

7x^2+5x+8

Step-by-step explanation:

Perimeter = sum of all sides

Perimeter = 4x^2-x+4+2x^2-2x+1+x^2+8x+3

= 7x^2+5x+8

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is