A linear relationship exists in a certain city between the number of claims in a given month at a particular insurance company, and the amount of money spent by the insurance company in that month. The equation that models the relationship is = 0. 39 + 2. 31, where is the number of claims for the month, and is money paid in hundreds of thousands of dollars. Interpret the slope in the context of the problem.

Find the value of the variable and the length of each secant segment.

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)

What is the factor form of x^2-9x+14