Answer:
The system of inequalities is
y\geq 3x-2
y<-(1/5)x+2
Step-by-step explanation:
step 1
Find the equation of the solid blue line
Let
A(0,-2), B(1,1)
Find the slope of AB
m=(1+2)/(1-0)=3
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=3
b=-2 - ----> the point A is the y-intercept
substitute
y=3x-2 - -----> equation of the solid blue line
The solution of the inequality is the shaded area above the solid line
therefore
The first inequality is
y\geq 3x-2
C(0,2), D(5,1)
step 2
Find the equation of the dashed red line
Let
Find the slope of CD
m=(1-2)/(5-0)=-1/5
The equation of the line into slope intercept form is equal to
y=mx+b
we have
m=-1/5
b=2 ----> the point C is the y-intercept
substitute
y=-(1/5)x+2 -----> equation of the dashed red line
The solution of the inequality is the shaded area below the dashed line
therefore
The second inequality is
y<-(1/5)x+2
The system of inequalities is
y\geq 3x-2
y<-(1/5)x+2
We could put the domain into the x values to get the y values (range).
y = 3(-3) - 4
y = -9 - 4
y = -13
y = 3(-1) - 4
y = -3 - 4
y = -7
y = 3(4) - 4
y = 12 - 4
y = 8
Answer:
Jim had 1/3 of of the pizza
Step-by-step explanation:
He shared a pizza with four friends, each friend had a Piece that was the same size as the other pieces, Jim had TWICE as much pizza as his friends so He had 2 pieces since he has 4 friends and each has 1 piece, so 4 + 2 = 6
2/6 simplify if, 1/3.
To isolate y, subtract 2.
y < 4x - 5The graph will be a dashed line y = 4x - 5 with the area below the line shaded.
