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Writing Algebraic Expressions

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Match the phrase on the left to the correct algebraic expression on the right

the quotient of eight and

a number increased by two

728

8 - 2n

the difference of eight and

twice a number

+2

eight less than a number squared

8+n

eight more than a number cubed

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)