Aroller coaster moves along an inclined linear path before it reaches its maximum height . the car moves at a constant speed and gains 4 metes in height every 3 seconds . the slope of the line that represents the height of the car in meters in terms of seconds is

A roller coaster moves along an inclined linear path before it reaches its maximum height. The car moves at a constant speed and gains 4 meters in height every 3 seconds.

The slope of the line that represents the height of the car in meters in terms of time in seconds is 4/3 If the car takes 54 seconds to reach the maximum height, then the maximum height above the ground is 72 meters.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: