Answer:
-36
Step-by-step explanation:
repeating fraction, nice
2.16161616...=2+0.16161616...
solve the repeating part
let's say x=0.16161616
2 places repeat, multiply x by 10^2 or 100
100x=16.161616
now subtract x from taht
100x-x=16.161616-0.16161616
the repeats cancel and we get
99x=16
divide both sides b 99
x=16/99
so
16/99=0.16161616...
2+16/99 is the fraction
if ya wanted 1 fraction then
2+16/99=
198/99+16/99=
214/99
2.161616=214/99
The answer is D from picture you posted .
As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.
1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
9. -5≤-3; g(-5)=3(-5)-1➞g(-5)=-16
Hope this helps! Good luck!
If you mean 3 more terms in the sequence they could be
64, 32, 16, 8 ...
If you mean any 3 terms then 4096 1024 and 256 qualify.
