Answer:
-3
Step-by-step explanation:
f(x)=-2x+7
f(5)=-2×5+7
=-10+7
=-3
In generation 8 it would have 34 relatives, and in generation 9 it would have 55 relatives.
In the Fibonacci sequence, each term is found by adding the two previous terms together. For generation 8, we would add generation 7 (21) and generation 6 (13); 21+13 = 34. For generation 9, we would add generation 8 (34) and generation 7 (21); 34 + 21 = 55.
A
this is a geometric sequence since there exists a common ratio r between the terms
r = 
= 
= 
= 3
B
to obtain the next term in the sequence multiply the previous term by 3
= 3 
← recursive rule
C
the n th term of a geometric sequence is
= 
where is the first term in the sequence
= 7 × 
← explicit rule
9514 1404 393
Answer:
D. 5 < x < 9
Step-by-step explanation:
The third side cannot be any shorter than the difference of the other two sides: 7 -2 = 5. It cannot be any longer than the sum of the other two sides: 7+2 = 9. It cannot be equal to either of those values. So, we must have ...
5 < x < 9
Answer:
B&C: tan F=0.0833 & tan H=12.0000
Step-by-step explanation:
The tangent relationship is always opposite/adjacent.
When F is the reference angle, side GH (1) is the opposite side and side FG (12) is the adjacent.
1/12 is 0.0833
When H is the reference angle, FG (12) is the opposite and GH (1) is the adjacent.
12/1 is 12.
