If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for
which f(x) = g(x) is true.

the lines meet at (2/3, 2)

Step-by-step explanation:

f(x) = g(x)

plug equations for f(x) and G(x)

-3x+4 = 2

-3x = -2

x = 2/3

since both equations meet at x = 2/3, it doesn't matter which equation you plug x = 2/3 into to find the y-coordinate

for simplicity purposes since g(x) is easier to solve, I am going to plug x = 2/3 into g(x), but plugging it into f(x) will give you same answer

g(x) = 2

g(2/3) = 2

the lines meet at (2/3, 2)

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

60

step-by-step explanation: