Graph the function by making a table of values which table is correct
1 answer:
It is often more convenient to evaluate a polynomial when it is written is "Horner form."
... f(x) = (((10x -4)x -8)x +3)x -6
The graphs offered can be distinguished by their values of f(1) and f(2), so our table can be a short one.
... f(1) = (((10·1 -4)1 -8)1 +3)1 -6 = -5 . . . . . . . eliminates graph d
... f(2) = (((10·2 -4)2 -8)2 +3)2 -6 = 96 . . . . eliminates graphs a and c
The appropriate choice is b.
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Step-by-step explanation:
(a)
Using the definition given from the problem
Therefore it is true for intersection. Now for union, we have that
Therefore, for this case, it would be true that .
(b)
1 is not a set.
(c)
To begin with
Therefore
Now, given an element of it will belong to both sets, therefore it also belongs to
, and you would have that
, therefore
.
(d)
To begin with , therefore
Answer:
This is a radioactive decay / half-life problem.
Initial amount of C 14 = 100% Present Amount = 57%
k = .0001 (that value should be negative)
Nt = No * e^ (k*t)
You need to solve that equation for "time" (equation attached)
time = natural log (Ending amount / Starting Amount) / k
time = natural log (57% / 100%) / -.0001
time = ln (.57) / -.0001
time = -.56211891815 / -.0001
time = 5,621.2 years (age of the bird skeleton)
These problems are quite complicated but I think I know this pretty well.
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Step-by-step explanation:
