Step-by-step explanation:
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Answer:
0.078125.
Step-by-step explanation:
This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.
nth term = a1 r^(n -1) so here:
9th term = 20(0.5)^(9-1)
= 20(0.5)^8
= 0.078125.
Solve first for the solution of the inequalities. This can be done by replacing first the inequalities sign with the equal sign.
x + y = 1
2y = x - 4
The values of x and y from the system of linear equation are 2 and -1. This means that the intersection of the lines should be at point (2, -1).
Substitute 3 to x and determine the value of y from the second inequality.
2y ≥ x - 4
Substituting,
2y ≥ 3 - 4, y ≥ -1/2
Hence, the solution to this item should be the fourth one.