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:
9
in²
Step-by-step explanation:
The area (A) of an equilateral triangle is calculated as
A =
( s is the length of a side )
Here s = 6, thus
A =
=
= 9
in²
Answer:
C
Step-by-step explanation:
substitute -1 into all of the formulas, if both sides are equal, then it is correct, for C:
2(x-2)+6 = 0, sub -1
2(-1-2)+6=0, simplify and work out
2(-3)+6=0
-6+6=0
0=0
Answer:
Is this even math
Step-by-step explanation:
No it isn’t
Just ask a forum or something and not an education site lol
Answer:
(x−2)(x−4)
Step-by-step explanation:
Let's factor x2−6x+8
x2−6x+8
The middle number is -6 and the last number is 8.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -6
Multiply together to get 8
Can you think of the two numbers?
Try -2 and -4:
-2+-4 = -6
-2*-4 = 8
Fill in the blanks in
(x+_)(x+_)
with -2 and -4 to get...
(x-2)(x-4)
Hope this helps! Also, if it's no trouble, can I have brainliest? Thanks! :D