The graph of f(x) = |x| is reflected across the y-axis and translated to the left 5 units. Which statement about the
domain and range of each function is correct?
3
2
f(x) =
1
1 2 3
45 x
--5-4-3 -2 -11
-2
-3
4
O Both the domain and range of the transformed
function are the same as those of the parent function.
ONeither the domain nor the range of the transformed
function are the same as those of the parent function.
O The range of the transformed function is the same as
the parent function, but the domains of the functions
are different
O The domain of the transformed function is the same
as the parent function, but the ranges of the functions
are different.
5
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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?

The u-drive rent-a-truck company plans to spend $13 million on 320 new vehicles. each commercial van will cost $25 comma 000, each small truck $50 comma 000, and each large truck  $80 comma 000. past experience shows that they need twice as many vans as small trucks. how many of each type of vehicle can they buy?

Solve the equation below: (x+4)/6x=1/x a. x=2 b. x=0,2 c. x=-2 d. x=0,-2