The following ordered pairs represent a function. (-2,-1), (-1,0), (0,1), (1,2), (2,3)

Which statement holds true for absolute value functions? •the absolute value determines the direction in which theb.the coefficient determines the line along which the graph,the distance between the left and the right arm is based od.the vertex coordinates and the absolute value determine 111

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?

How many solutions does the nonlinear system of equations graphed below have? a. one b. zero c. four d. two