1. Which expression has a value of 30 when x = -1 and y = 3? A. (x - 3^2) · y - 6 B. (x - 3^2) · (y - 6) C. x - 3^2 · (y - 6) D. x - 3^2 · y - 6

B. (x - 3²)(y-6)

Step-by-step explanation:

 Find the expression with a value of 30;

  when x  = -1 and y = 3:

    A.  (x - 3²).y-6

            (-1 - 9).3-6 = -10 x 3 -6  = -30 - 6 = -36

  B.  (x - 3²)(y-6)

           ( -1 -3²)(3 - 6) = (-1 -9)(-3) = 30

 C.  x - 3² . (y-6) = -1 - 9.(3-6)

                          = -1-9.-3

                          = -1 - 9 x -3

                          = -1 + 27

                          = 26

D. x - 3².y-6 = -1 - 9. 3 - 6

                    = -1 - 27 - 6

                    = -34

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

explanation:

remove parenthesis:

=

apply rule

=

multiply fractions:

=

=

divide:

=

mordancy.