C.) infinitely many solutions.
Given the equation, x - 2(x -6) = -x + 12:
x - 2(x -6) = -x + 12
Distribute -2 into the terms inside the parenthesis:
x - 2(x -6) = -x + 12
x - 2x + 12 = -x + 12
Combine like terms:
-x + 12 = - x + 12
Subtract 12 from both sides:
-x + 12 - 12 = - x + 12 - 12
- x = - x
Add x to both sides:
- x + x = - x + x
0 = 0 (true statement).
This means that any value of x will satisfy the equation, thereby making it infinitely many solutions.
Answer:
Minimum of 6 squares.
Step-by-step explanation:
The dimension of the rectangular carton = 6 by 4 inches.
The area of the carton = length x width
= 6 x 4
= 24 square inches
Assume that we have a square of side length 2 inches, then;
area of the square = length x length
= 2 x 2
= 4 square inches
So that since all materials is to be used,
the minimum number of squares that it can produce = 
= 6
Year 1 5000 X 1.03 5150
Year 2 5150 X 1.03 5305
Year 3 5305 X 1.03 5464
Year 4 5464 X 1.03 5628
Year 5 5628 X 1.03 5796
Year 6 5796 X 1.03 5970
Year 7 5970 X 1.03 6149
Year 8 6149 X 1.03 6334
Year 9 6334 X 1.03 6524
Year 10 6524 X 1.03 6720
Answer: -2/7
Step-by-step explanation:
To find the slope, you use the formula
.

Now, we know the slope is -2/7.