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.
17 quarts is greater. 4 gallons is equal to 16 quarts, right?
So 17 quarts would be greater than 4 gallons or 4.25 gallons
17 QUARTS IS GREATER.
Answer:
Zeros are x = −2, −3 .
Step-by-step explanation:
Given : f(x) = x² + 5x + 6.
To find : What are the zeroes of f(x).
Solution : We have given that
f(x) = x² + 5x + 6.
To find the zeros of the function we need to set f(x) = 0.
x² + 5x + 6 = 0.
On factoring
x² + 3x +2x + 6 = 0.
Taking common x from first two term and 2 from last two terms
x ( x + 3) +2 ( x +3) = 0.
On grouping
(x + 3) (x + 2) = 0
Now, x + 3 = 0 and x + 2 = 0
x = -3 and x = -2
Therefore, Zeros are x = −2, −3 .
