Answer:
Step-by-step explanation:
d = 7%2F2
-2, -2+7%2F2, -2+2%287%2F2%29, -2+3%287%2F2%29, 12
-2, -4%2F2+7%2F2, -4%2F2+14%2F2, --4%2F2+21%2F2, 12
-2, 3%2F2, 10%2F2, 17%2F2, 12
-2, 3%2F2, 5, 17%2F2, 12
A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Answer:
Therefore the third container contains
= 43.23 % acid.
Step-by-step explanation:
Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.
Let the volume of first container be x cubic unit.
Since the volume of second container is 55% larger than the first.
Then the volume of the second container is
cubic unit.
cubic unit.
The amount of acid in first container is
cubic unit.
cubic unit.
The amount of acid in second container is
cubic unit.
cubic unit.
Total amount of acid
cubic unit.
cubic unit.
cubic unit.
Total volume of mixture
cubic unit.
cubic unit.
cubic unit.
The amount of acid in the mixture is



Therefore the third container contains
acid.
Answer:
A
Step-by-step explanation:
Hello There!
The y value of ABC was subtracted by 7 to get to the figure A'B'C'
So the rule for the given transformation would be
(x,y) ---> (x,y-7)
Answer:
B
Step-by-step explanation:
110 / 22 = 5 inches per picket
equation is y = 5x