Answer:
Line of east wedge is: 2x - y = 96
So, Option 1 is correct.
Step-by-step explanation:
The east edge cannot intersect with the west edge means that two lines are parallel.
If the two lines are parallel then they have same slope. We need to find the slopes of given lines and check which line has slope same as slope of west edge.
Slope of west edge.
y = 2x + 5
The standard equation for slope intercept form is:
y = mx+b
where m is the slope. So, m= 2
Now finding line for east edge.
Option 1.
Convert each given equation to standard slope intercept form and find the slope.
2x -y =96
-y = -2x +96
Multiply with -1
y = 2x -96
m = 2
Option 2.
-2x -y = 96
-y = 2x +96
y = -2x-96
m = -2
Option 3
-y-2x =48
-y = 2x +48
y = -2x -48
m = -2
Option 4.
y+2x = 48
y = -2x+48
m = -2
So, only line of Option 1 has slope = 2 which is equal to the slope of west edge.
Line of east wedge is: 2x - y = 96
So, Option 1 is correct.
400 x .25 = x
Change the 25% into a decimal
400 x .25 = 100
Answer:
She has enough but too much, if she uses 214 plus the 1 cup she borrowed out of 412 cups of oats for a recipe that calls for 212 then she'll have 413 or 3 cups left separately, she won't need any more
If you are asking about the x-intercepts, then
x=-3, x=-2, and x=2; this is because these numbers make the equation equal to 0 (or make y=0)
(3,0), (-2,0), and (2,0)
If you are asking about the y-intercept, then you make x=0, which makes the equation (3) times (2) times (-2) which equals -12.
So, the y-intercept is -12.
(0,-12)
Answer:
see explanation
Step-by-step explanation:
1
6 = 3x - 9 ( add 9 to both sides )
15 = 3x ( divide both sides by 3 )
5 = x
2
x + 4 < 1 ( subtract 4 from both sides )
x < - 3
3
+ 3 = - 5
Multiply terms on both sides by 2
x + 6 = - 10 ( subtract 6 from both sides )
x = - 16