Paulo makes a sequence of numbers.
he chooses a starting number and then subtracts equal amounts each time.
the third number in his sequence is 45.
the tenth number is -32.
what is the first number in his sequence.
show your method.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 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)

Solve for x. −3/4(x+2)=6 enter your answer in the box

Find the unit rate. enter your answer as a mixed number. a fertilizer covers 2/3 square foot in 1/2 hour.