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Zigmanuir [339]
3 years ago
6

Simplify by using factoring: (2a+6b)(6b−2a)−(2a+6b)^2

Mathematics
1 answer:
GrogVix [38]3 years ago
8 0

Answer:

-8a(a+3b)

Step-by-step explanation:

(2a+6b)(6b−2a)−(2a+6b)^2

(2a+6b) {(6b−2a)−(2a+6b)(2a+6b)}

2(a+3b) (6b-2a-2a-6b)

2(a+3b) (-4a)

-2(a+3b) x 4a

-2 x 4a (a+3b)

-8a(a+3b)

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A) The variable on the horizontal axis of the graph (the independent variable) is "pounds of rice". That is what the first number in the ordered pair (6, 18) represents.

The variable on the vertical axis of the graph (the dependent variable) is "total cost in dollars". That is what the second number in the ordered pair represents.

(6, 18) represents that the total cost of purchasing 6 lbs of rice is $18.

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C) You would have to buy 4 lbs of rice for the total cost to be $12. There are at least two ways to find the answer.

  1. Draw a horizontal line on the graph at cost = $12. It intersects the graph at lbs = 4.
  2. Divide the total cost by the unit price. $12/($3/lb) = 4 lb.
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