How do i show work for number 1 pls help

The solution of given inequality satisfies the ( -2,-2) , (4 ,0) and (-2,0)

Step-by-step explanation:

Given inequality

                      x - 3y < 5

a) From the graph we will choose point  x=-2 and y=-2

                    x - 3y < 5

                  -2 - 3(-2) < 5

                  -2 + 6 < 5

                    4 < 5

b)  From the graph we will choose point  x= 4 and y= 0

                x - 3y < 5

               4 - 0 < 5

                 4 < 5

c)  From the graph we will choose point  x= -2 and y= 0

                x - 3y < 5

               -2 - 0 < 5

                 -2 < 5

The solution of given inequality satisfies the ( -2,-2) , (4 ,0) and (-2,0)

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."