Answer:
The solution of system of equation is (-2,0)
Step-by-step explanation:
Given system of equation are
Equation 1 : 2x+y=(-4)
Equation 2 : y+x=(-1)
To plot the equation of line, we need at least two points
For Equation 1 : 2x+y=(-4)
Let x=0
2x+y=(-4)
2(0)+y=(-4)
y=(-4)
Let x=1
2x+y=(-4)
2(1)+y=(-4)
y=(-6)
Therefore,
The required points for equation is (0,-4) and (1,-6)
For Equation 2 : y+x=(-1)
Let x=0
y+x=(-1)
y+(0)=(-1)
y=(-1)
Let x=2
y+x=(-1)
y+(2)=(-1)
y=(-2)
The required points for equation is (0,-1) and (2,-2)
Now, plot the graph using this points
From the graph,
The red line is equation 1 and blue line is equation 2
Since. The point of intersection is solution of system of equations
The solution of system of equation is (-2,0)
18?
-18 divided by [-1/6]
is 18
hopefully that's what you were looking for.?!!
The function is decreasing on the interval (- infinity, + infinity).
Answer:
5.6 gallons.
Step-by-step explanation:
If we take x gallons of 25% grape juice then it will contain gallons of pure grape juice.
Again, if we take y gallons of 75% grape juice then it will contain gallons of pure grape juice.
If we mix them then the total volume will become x + y = 7 gallons ...... (1)
Again the mixture will become 35% juice.
So,
⇒ 0.25x + 0.75y = 0.35x + 0.35y
⇒0.1x = 0.4y
⇒x = 4y........ (2)
Now, solving equations (1) and (2) we get, 5y = 7, ⇒ y = 1.4 gallons
Hence, x = 4y = 5.6 gallons
Therefore, the 25% grape juice was mixed by 5.6 gallons. (Answer)
Answer:
(13,-23)
Step-by-step explanation:
Comparing the image coordinates to the transformation rule, you see that ...
(x -4, y +15) = (9, -8)
Adding (4, -15) to these coordinates, we get ...
(x -4, y +15) +(4, -15) = (9, -8) +(4, -15)
(x-4+4, y+15-15) = (9+4, -8-15)
(x, y) = (13, -23) . . . . coordinates of D