This is what we call a Fibonacci sequence:
Notice that after the 1,1:
4th term =3 ==> 2+1
5th term =5 ==>3+2
6th term =8==> 5+3
7th term = 13==> 8+5
8th term =...........13+8 =21
9th term = ...........21+13 =34
10t=h term =........34+21 = 55
In short each number equal the sum of the 2 preceding number
Using the second equation, let’s find x
x + 7y = 8
x = 8 - 7y
Substitute x in the other equation
3/8(8 - 7y) + 1/3y = 17/24
3 - 21/8y + 1/3y = 17/24
-55/24y = -55/24
y = 1
Plug in y in any equation
x + 7(1) = 8
x + 7 = 8
x = 1
x = 1 and y = 1
Answer:
g(-12) = -7
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...
(2√3)(2√3) = x(x +4)
12 = x² +4x
16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square
4² = (x +2)² . . . . . . . . write as squares
4 = x +2 . . . . . . . . . . positive square root
2 = x . . . . . . . . . . . . . subtract 2
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<em>Alternate solution</em>
If you believe x to be an integer, you can look for factors of 12 that differ by 4.
12 = 1×12 = 2×6 = 3×4
The factors 2 and 6 differ by 4, so x=2 and x+4=6.
Answer:
The right answer is:
Option OB: f(1) = -9
Common difference: 7
Step-by-step explanation:
Given sequence is:
-9, -2, 5, 12,...
Here the first number is f(1)
Common Difference:
Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.
In the given sequence,
f(1) = -9
f(2) = -2
f(3) = 5
Hence,
The right answer is:
Option OB: f(1) = -9
Common difference: 7
