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:
Domain: {0, 1, 2, 3, 4, 5, 6}
Range: {4, 4.5, 5, 5.5, 6, 6.5, 7}
Answer:
4. Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Step-by-step explanation:
Player 1's position is (-3, 5).
It means that it is 3 units left from the origin and 5 units above the origin.
Player 2's position is (3, 5).
It means that it is 3 units right from the origin and 5 units above the origin.
Hence, the two points are on the same horizontal line bisected by the y-axis.
So, Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
If two events are independent, then P(A and B) = P(A) x P(B).
In your situation, you need to solve 0.185 = 0.25 x P(B).
Can you take it from there?
Answer:
24
Step-by-step explanation:
