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:
32.6
Step-by-step explanation:
Look at the decimal in the hundredths place in 32.62
If the number is 0-4, round down. If the number is 5-9, round up.
In 32.62, the number in the hundredths place is 2. So, we round down to 32.6
Sum of n terms in a geometric progression is given by Sn = a1 (1 - r^n) / (1 -r)
3( 1 - 4^6) / (1-4)
= 4,095
Answer:
y = -2x + 12
Step-by-step explanation:
Step 1: find the slope
y = 1/2x + 5
The equation of the line is
y = mx + c
m - slope
m = 1/2
Note : if two lines are perpendicular to the other, both lines are negative reciprocal of each other
m = -2
Step 2 : using a point slope form
y - y1 = m( x - x1)
( 2 , 5)
x1 = 2
y1 = 5
y - 2 = -2( x - 5)
y - 2 = -2x + 10
y = -2x + 10 + 2
y = -2x + 12
The equation of the line is
y = -2x + 12
I dunno the answer so I just found another answer I found in here for this question:P
Sorry- it’s useless
Answer:
(See explanation for further details).
Step-by-step explanation:
(1-x) represents the portion of the price that remains after applying the discount.
