The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). if area = length times width, what is the length of the rectangle?

The answer to your question is: x⁵ -5x⁴ + 6x³ - 15x² + 9x - 45

Step-by-step explanation:

Area = lenght times width

           (x³ – 5x² + 3x – 15) x (x² + 3) =

        =  x⁵ - 5x⁴ + 3x³ - 15x² + 3x³ - 15x² + 9x - 45    Simplify like terms

        =  x⁵ -5x⁴ + 6x³ - 15x² + 9x - 45

D.x – 5

Step-by-step explanation:

- "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."