The function f(x) = -X² + 16x - 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number of candles sold.
Determine the vertex, and explain what it means in the context of the problem.
(6, 10): The vertex represents the maximum profit.
(6. 10): The vertex represents the minimum profit.
(8. 4): The vertex represents the minimum profit.
(8.4); The vertex represents the maximum profit.

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?

What is the expression in factored form? -x^2 + 3x + 28 a. (x-7)(x-4) b. -(x-7)(x+4) c. (x+4)(x+7) d. -(x-4)(x+7)

Once george got to know adam, they found that they really liked each other. this is an example of what factor in friendship