A company distributes its product by train and by truck. The cost of distributing by train can be modeled as −0.07x^2 + 34x − 140, and the cost of distributing by truck can be modeled as −0.03x^2 + 29x − 150, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by truck.

Find and classify the slope of the line through each pair of points. (2,,-16)

Multiply. −2x(6 x 4 −7 x 2 +x−5) express the answer in standard form. enter your answer in the box.

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?