What is the factored form of the expression 9x^2+24x+16?

This is the product of the square of a binomial expression. Therefore, it will have two factors.

Square of a binomial: a² + 2ab + b² = (a+b)²

The process:

9x² + 24x + 16

= (3x)² +2(3x)(4) + (4)²

= (3x + 4)² or (3x+4)(3x+4)

I hope this helps :)

- "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."

one set of data has more variation than the other. hope this !