4) After solving a rational equation you must check your solutions in the original equation. Why? *
To make sure the value does not make the numerator 0.
O
To make sure the value does not make the denominator 1.
O To make sure the value does not make the numerator negative.
To make sure the value does not make the denominator 0.

D) To make sure the value does not make the denominator 0.

We cannot divide by zero. Something like 1/0 is undefined. So it's important to check all potential solutions to make sure you don't get 0 in the denominator.

- "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."

step-by-step explanation:

what does 'mandy have ben 780 bottle caps. ' mean?