Answer:
- 2
Step-by-step explanation:
Note that the values of x represent the input, while the values of f(x) represent the output.
From the column for f(x)
The only value on the list that is an output is - 2
A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.
We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule
f(n + 1) = -4 f(n) + 3
We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)
f(1 + 1) = -4 f(1) + 3
f(2) = -4 • 1 + 3
f(2) = -1
We do the same thing to find the next term f(3) :
f(2 + 1) = -4 f(2) + 3
f(3) = -4 • (-1) + 3
f(3) = 7
One more time to find the next term f(4) :
f(3 + 1) = -4 f(3) + 3
f(4) = -4 • 7 + 3
f(4) = -25
Answer:
13x + 7 + 4x + 15 = 90
17x + 22 = 90
17x = 68
x = 4
4(4) + 15= 16 + 15= 31
13(4) + 7 = 52 + 7 = 59
Step-by-step explanation:
Answer: 63.3
Step-by-step explanation:
9.5v + 8.7w
v = 3
w = 4
9.5(3) + 8.7(4)
28.5 + 34.8
63.3
When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.
x-coordinate: (2 - 9) / 3 = -7/3
y-coordinate: (6 - 3 ) / 3 = 1
Adding them to the coordinates of a,
x - coordinate: (9 - 7/3) = 20/3
y - coordinate: (3 + 1) = 4
Thus, the coordinates are (20/3, 4).
