Answer:
The initial value is 3.
The range is y greater than 0.
The simplified base is 8.
Step-by-step explanation:
The given function is
......... (1)
Therefore, the initial value of the function at x = 0 is
Now, the domain can be any real value, since for all real value of x, y exists.
But, for no value of x the function has value < 0.
Therefore, y greater than 0 is the range of the function f(x).
Now, simplifying the equation (1) we will have
Therefore, the simplified base is 8. (Answer)
The nth term is 6n^2-11n+16
Answer: A. A(1) = 14; A(n) = (n − 1) −4; A(n) = 14 + (n − 1)(−4)
Step-by-step explanation:
Arithmetic sequence is a sequence that is identified by their common difference. Let a be the first term, n be the number of terms and d be the common difference.
For an arithmetic sequence, common difference 'd' is added to the preceding term to get its succeeding term. For example if a is the first term of a sequence, second term will be a+d, third term will give a+d+d and so on to generate sequence of the form,
a, a+d, a+3d, a+4d...
Notice that each new term keep increasing by a common difference 'd'
The nth term of the sequence Tn will therefore give Tn = a+(n-1)d
If the initial (first) term is 14 and common difference is -4, the nth of the sequence will be gotten by substituting a = 14 and d = -4 in the general formula to give;
Tn = 14+(n-1)-4 (which gives the required answer)
Tn = 14-4n+4
Tn = 18-4n
One possible inequality would be
1999-x<0.
If you subtract any year after he stepped down from 1999, the year he stepped down, the result will be a negative number.
To decrease it by 3% we need to fine 97% of it and 97% is the same as 0.97
16870 times 0.97=16363.9
16870 decreased by 3% is 16363.9
I hope I've helped!