Find the values of y: 3y^3(y^2+ 2/3y)=0

Step-by-step explanation:

The product is zero if one of the factors is equal to zero. Therefore

y =0   y = -2/3

Step-by-step explanation:

3y^3(y^2+ 2/3y)=0

Factor out a y

3y^3 *y (y+2/3) =0

3y^4 (y+2/3) =0

Using the zero product property

3y^4 =0    y+2/3 =0

y^4 = 0  y+2/3-2/3 =0

y =0   y = -2/3

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2