7. find the product (3x + 2)(4x2 – 5x + 7).

12x³ - 7x² + 11x + 14

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x² - 5x + 7) + 2(4x² - 5x + 7) ← distribute both parenthesis

= 12x³ - 15x² + 21x + 8x² - 10x + 14 ← collect like terms

= 12x³ - 7x² + 11x + 14

entering that problem on the tube might get you an answer

- "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."