If three times a number plus four is no more than four times the number minus one, which of the
following are true? Let z represent the number.
Z>5
Z25
ZS5
The number is at least 5.
The number is at most 5.

Step-by-step explanation:

3z+4≤4z-1

3z-4z≤-1-4

-z≤-5

z≥5

sol.

The number is at least 5

good job you smart son of a gun you are smarter that einstein. 7

- "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."