Answer + Step-by-step explanation:
the inequality by finding the boundary line, then shading the appropriate area.
y > − 5/2x − 5
(anything in shaded region)
Divide. (2x^3 - 5x^2 + 7) / (x-2)
1 answer:
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So in this case, we have to replace the known value.
y=3
y=-2x+3
3=-2x+3
Then we leave our unknown value alone.
= x
In this case, our x value would be 0.
We check it...
3=-2(0)+3
3=0+3
3=3
So y=3 x=0
For the second one we have...
y=3x+2
y=-3x-4
For this we substitute the y in any of the equation...
3x+2=-3x-4
We move the unknown values to one side and the ones without unlown values to the other side...
3x+3x=-4-2
Then we solve
6x=-6
Then we leave the unknown value alone.
x=
Then solve for x.
x= -1
Then for our y value we return to one of the original equations and substitute the x value.
y=3x+2
y=3(-1)+2
y=-3+2
y=-1
y=-3x-4
y=-3(-1)-4
y=3-4
y=-1
So in this case we got that x= -1 and y= -1
y=3
y=-2x+3
3=-2x+3
Then we leave our unknown value alone.
In this case, our x value would be 0.
We check it...
3=-2(0)+3
3=0+3
3=3
So y=3 x=0
For the second one we have...
y=3x+2
y=-3x-4
For this we substitute the y in any of the equation...
3x+2=-3x-4
We move the unknown values to one side and the ones without unlown values to the other side...
3x+3x=-4-2
Then we solve
6x=-6
Then we leave the unknown value alone.
x=
Then solve for x.
x= -1
Then for our y value we return to one of the original equations and substitute the x value.
y=3x+2
y=3(-1)+2
y=-3+2
y=-1
y=-3x-4
y=-3(-1)-4
y=3-4
y=-1
So in this case we got that x= -1 and y= -1
Answer:
The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²
Step-by-step explanation:
The picture below is what you are referring to .
The whole area of the shape forms a rectangle. A triangle and a rectangle has been cut off from the whole carpet rectangle. The square ft or area of the carpet is the subtraction of the area of the rectangle and triangle cut off from the whole area of the rectangle .
Area of the rectangle = Lb
where
L = 12 ft
b = 5 ft
area = 12 × 5 = 60 ft²
The cut off triangle area
area = 1/2 × base × height
area = 1/2 × 4 × 3
area = 12/2 = 6 ft²
The cut off rectangle area
area = Lb
area = 3 × 2
area = 6 ft²
The area of the outdoor carpet = 60 - 6 - 6 = 48 ft²
