Answer:
Student B is correct
Student A failed to distribute -4 and -6 when opening the brackets in the first step
Step-by-step explanation:
The solution Student A gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x + 6 = -12x + 1 - 4
-10x + 6 = -12x - 3
2x = -9
x = -4 _1 2 ( -4 1/2)
The solution Student B gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x - 24 = -12x - 6 - 4
-10x - 24 = -12x - 10
2x = 14
x = 7
Student B is correct.
Explanation of the error:
Student A failed to distribute -4 and -6 when opening the brackets in the first step.
That is,
2x - 4(3x + 6) = -6(2x + 1) - 4
To open this bracket, we will distribute, -4 and -6 so that we get
2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4
Then we will get
2x -12x -24 = -12x -6 -4
Adding the like terms
-10x - 24 = -12x - 10
Collecting like terms
-10x + 12x = -10 + 24
∴ 2x = 14
x = 14 / 2
Hence,
x = 7
Answer:
Translate A, 5 to the right and then 5 downwards.
Translate B, 6 downwards and then 5 to the right.
If you move then in this way it will make it so that A is in the exact same spot as A' or overlapping showing that they are congruent. The same can be said with B and B'.
In economics and investments, opportunity cost is the amount of money that a company could have gained, but lost because they took another course of action. This is especially applicable to situations wherein a company decides on which of the two events they would choose.
In other words, opportunity cost can be the net gain or loss that a company obtains when upon getting to the decision. Suppose, we chose a spending of 4.5%, the opportunity cost would be:
Opportunity cost = <span>$7 trillion (4.5% - 4.1%)
Opportunity cost = $7 trillion(0.004)
Opportunity cost = $0.028 trillion or $28 billion
Therefore, the opportunity cost is $28 billion.</span>
If we assume the club membership includes
then the blanks in the Juniors circle must be filled in with 6 and 8 (with the 8 going in the overlap with girls). The remaining blank in the Girls circle must be filled in with 12, the number of senior girls. The blank outside both circles is the number of senior boys (members who are not juniors and not girls), 16.