Factor completely 3x4 − 30x3 + 75x2
2 answers:
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Given:
The table of values of an exponential function.
To find:
The function for the given table of values.
Solution:
The general exponential function is:
...(i)
Where, a is the initial value and b is growth factor.
From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.
...(ii)
...(iii)
On dividing (iii) by (ii), we get
Putting in (ii), we get
Putting in (i), we get
The function notation with variable n is:
Therefore, the correct option is D.
Answer:
the value of such that there is no solution to the equation is
.
Step-by-step explanation:
Let first simplify the expression presented on statement. The equation has no solution if and only if is eliminated in the process and an absurd is the result (i.e.
).
To obtain an absurd, we need that . Hence, the value of
such that there is no solution to the equation is:
Let prove the certainty of the result. We find that an absurd exist: ()