(y+4)3 – бу = 2(4 - 2y)​

y=-4

Step-by-step explanation:

(y+4)3-6y=2(4-2y)

(y)(3)+(4)(3)+-6y=(2)(4)+(2)(-2y)

3y+12+-6y=8+-4y

(3y-6y)+12=-4y+8

-3y+12=-4y+8

-3y+12+4y=-4y+8+4y

y+12=8

y+12-12=8-12

y=-4

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

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