Ask Your Teacher What does a Lorenz curve measure? property values adult literacy tax rates income distribution What does a GINI index measure? birth rate participation in national elections income inequality military power Which of the following statements about a Lorenz curve y = L(x) are true? (Select all that apply.) L(0) = 0. The Gini index equals . y = L(x) is an increasing function. L(1) = 0. x ≥ L(x) for all x.

Correct options are given below.

Step-by-step explanation:

For the statement 1,

1. Correct option is income distribution

For the statement 2,

2. Correct option is income inequality

For the statement 3,

3. Correct answers are: option 2,3 and 5

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1