What is the value of the expression shown when n = 6? “8 less than the quotient of 42 and a number”
8 minus StartFraction 42 Over n EndFraction; when n = 6 the expression equals 1
StartFraction 42 Over n EndFraction minus 8; when n = 6 the expression equals –1
42 minus 8 n; when n = 6 the expression equals –6
8 n minus 42; when n = 6 the expression equals 6

StartFraction 42 Over n EndFraction minus 8; when n = 6 the expression equals –1

Step-by-step explanation:

Let's put the equation into numbers:

“8 less than the quotient of 42 and a number”

= 42/n - 8

Now, substitute 6 into this expression:

42/6 - 8

= 7 - 8

= -1

- "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."