Determine Whether The Given Is An Exponential Function, An Exponentia…
Determine whether the given is an exponential function, an
exponential equation, an exponential inequality or none of
these.
1.49% = 72
2.3<9*
3.y = 81
4.3(15x) = 45
5.3>9
summing of three cubes”: Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)
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