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
Subtract 6 from both sides
15x= 195
Divide both sides by 15
x=13
Final answer: x=13
Check:
15(13)+6
195+6
201
201=201
Answer:
$14.08
Step-by-step explanation:
$16.95 * 22% = $3.729
$16.95 - $3.729 = $13.221
^ to find the sale price of the item
$13.221 * 6.5% = $0.859
$13.221 + $0.859 = $14.08
^ to add on sales tax to the sale price
Answer:
CHOOSE A. 48
Step-by-step explanation:
Because its easy just do it.
<em>At x = -3 is located a hole. </em>
<h2>
Explanation:</h2>
In this problem, we have the following function:
A hole will lie at the x-values that makes the function undefined, that is, when the denominator is zero. In a mathematical language:
From this equation, we get two solutions:
At those x-values the function will have a hole. From the choices:
<em>At x = -3 is located a hole. </em>
<h2>Learn more:</h2>
Derivative: brainly.com/question/13419010
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