Answer:
The mixed number 5 1/4 is equal to the improper fraction 21/4.
Answer:
1.
-2 = x/4 + 1
Subtract 1 from both sides:
-2 - 1 = x/4 + 1 - 1
-3 = x/4
Multiply both sides by 4:
-3 * 4 = x/4 * 4
-12 = x
2.
3x+5
3.
X= 12 or 18
This could be read two different ways.
0=2/3x-12
12=2/3x
12÷2/3=x
12*3/2=x
18=x
—-OR—-
0=2/3(x-12)
0=2/3x-8
8=2/3x
8÷2/3=x
8*3/2=x
12=x
Slope is equal to the change in y over change in x, or rose over run m= 1/3
Answer:
(
−
∞
,
∞
)
Step-by-step explanation:
Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
