Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. At a historical landmark, candles are used to simulate an authentic atmosphere. A volunteer is currently putting new candles in the candle holders. On the east side, he replaced candles in 6 small candle holders and 7 large candle holders, using a total of 54 candles. On the west side, he replaced the candles in 20 small candle holders and 13 large candle holders, for a total of 118 candles. How many candles does each candle holder hold?

Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.

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)

(-y to the power of 2 - 4y- to the power of 2 -6 y +3)