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the formula f(x + 1) = 2/3(f(x)) defines a geometric sequence where f(1) = 18. which explicit formula can be used to model the same sequence?

f(x) = (18)(2/3)(x – 1)

f (x) = 18 (x-1)2/3

f (x) = 18 (2/3)x-1

f(x) = 2/3 (18)x – 1

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

1: 4 if the wew 35 surfboards at the beach how many were short boards?

Scenario: susan wants to make 2 square flags to sell at a crafts fair. the fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over. what's the least amount of fabric she should buy? question: which equation will susan solve her problem? note: let x represent the length of 1 side of the flag. options: 1) 2x^2 = 4x 2) 8 +2x = 2(4x) 3) 2 * 2 = 4 * 2 4) 4x^2 -2x = 0