Evaluate 6+\dfrac4a+\dfrac b36+ a 4 + 3 b 6, plus, start fraction, 4, divided by, a, end fraction, plus, start fraction, b, divided by, 3, end fraction when a=4a=4a, equals, 4 and b=3b=3b, equals, 3.

8

Step-by-step explanation:

The given expression can be written as :

We need to find the value of the above expression when a = 4 and b = 3

Put a = 4 and b = 3 in the given expression

So, the value of the given expression is 8.

- "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."

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.