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:
About 158 times
Step-by-step explanation:
Represent the rate of human heart with H and sparrow's heart with S
Required
Determine how many times faster is S than H
To do this, we simply divide S by H i.e.
--- approximated
<em>Hence, the sparrow's heart beats about 158 times faster than the human hearts</em>
Answer:
Small can
Step-by-step explanation:
Price per liter for Small can = 2.20 /4 = 0.55
Price per liter for Large can = 3.24 / 6 = 0.54
0.55>0.54
small can > large can
I hope im right!!!
Answer:
x < -3
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
Step 2: Divide both sides by 4.
Therefore, the answer is x < -3.
