0.25(x+40)=4+0.75(x-8)

0.25(x+40)=4+0.75(x-8)

0.25x +(40*0.25)=4+0.75x -0.75(8)

0.25x + 10=4+0.75x-6

0.25x+10=0.75x-2

10+2=0.75x-0.25x

12=0.5x

x=24

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

its an acute right triangle

step-by-step explanation: