The region is in the first quadrant, and the axis are continuous lines, then x>=0 and y>=0
The region from x=0 to x=1 is below a dashed line that goes through the points:
P1=(0,2)=(x1,y1)→x1=0, y1=2
P2=(1,3)=(x2,y2)→x2=1, y2=3
We can find the equation of this line using the point-slope equation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(3-2)/(1-0)
m=1/1
m=1
y-2=1(x-0)
y-2=1(x)
y-2=x
y-2+2=x+2
y=x+2
The region is below this line, and the line is dashed, then the region from x=0 to x=1 is:
y<x+2 (Options A or B)
The region from x=2 to x=4 is below the line that goes through the points:
P2=(1,3)=(x2,y2)→x2=1, y2=3
P3=(4,0)=(x3,y3)→x3=4, y3=0
We can find the equation of this line using the point-slope equation:
y-y3=m(x-x3)
m=(y3-y2)/(x3-x2)
m=(0-3)/(4-1)
m=(-3)/3
m=-1
y-0=-1(x-4)
y=-x+4
The region is below this line, and the line is continuos, then the region from x=1 to x=4 is:
y<=-x+2 (Option B)
Answer: The system of inequalities would produce the region indicated on the graph is Option B
Answer:
I think it would be b
Step-by-step explanation:
He doesn't want to spend more than 50 and he needs 8 for lunch so the 8 dollars and the book can't go over 50.
Its either a or b im just not sure if its plus 8 or minus 8. sorry
I’m not sure what your teacher wants you to do but I would do 110-50=60
It would have to be like 4/6
Answer:
-sin(u)
Step-by-step explanation:
This is a Trig identity. The best way to understand this is to start at zero degrees. +u would move counterclockwise, while -u moves clockwise. The sine function gives you how far in the y-direction you are from the x-axis. Since you're moving the same amount by going u degrees (or u radians) around the circle as you would going -u degrees (or -u radians), your distance from the x-axis is the same. But it reflects over the x-axis, so the two outcomes are inverses of each other.
