Which expressions are equivalent to 6 + 12x?
Select each equivalent expression.

2 (3 + 6x), 3 (2 + 4x) and 6 (1 + 2x)

Step-by-step explanation:

Given the expression 6 + 12x.

The following functions are equivalent;

Factoring out common number;

For 2;

2(3) + 2(6x)

2 (3 + 6x)

Factoring out 3;

3(2) + 3(4x)

3 (2 + 4x)

Factoring out 6;

6(1) + 6(2x)

6 (1 + 2x)

Hence the possible equivalent expressions are 2 (3 + 6x), 3 (2 + 4x) and 6 (1 + 2x)

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: