The answer is A (x-3)(x-4)
3x +6= 2y-6+6. 6x-7=-7+7-5y
3x +6=2y. 6x -7=5y
÷2 = ÷2. ÷5 = ÷5
3/2x + 3= y. 6/5x - 7/5 = y
Answer:
Option C.
Step-by-step explanation:
If a line passes through two points
and
, then the equation of line is
![y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
The line passes through the points (1,0) and (0,-2). So, the equation of line is
![y-0=\frac{-2-0}{0-1}(x-1)](https://tex.z-dn.net/?f=y-0%3D%5Cfrac%7B-2-0%7D%7B0-1%7D%28x-1%29)
![y=2(x-1)](https://tex.z-dn.net/?f=y%3D2%28x-1%29)
![y=2x-2](https://tex.z-dn.net/?f=y%3D2x-2)
It is a solid line and the shaded region lies below the line, so the sign of inequality must be "≤".
First inequality is
.
The parabola intersect the x-axis at 0 and 3, so the equation of of parabola is
![y=(x-0)(x-3)](https://tex.z-dn.net/?f=y%3D%28x-0%29%28x-3%29)
![y=x(x-3)](https://tex.z-dn.net/?f=y%3Dx%28x-3%29)
![y=x^2-3x](https://tex.z-dn.net/?f=y%3Dx%5E2-3x)
It is a solid curve and the shaded region lies above the curve, so the sign of inequality must be "≥".
Second inequality is
.
Therefore, the correct option is C.