Suppose that y varies directly with x. Write the equation that represents this relationship if x is -7 and yis - 42 ? Find the value of y when x is 6.

36

Step-by-step explanation:

if y varies directly as x;

       y ∝ x

mathematically,

        y  = kx

k is the constant of proportionality;

     if x = -7, y = -42

          -42  = k x -7

               k  = 6

Now,

        x = 6;

  y  = kx

  y = 6x 6 = 36

step-by-step explanation:

3024 rhe base is what up in worry about

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