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
Answer:
r =29.82
Step-by-step explanation:
r/7.1 = 4.2
Multiply each side by 7.1
r/7.1 *7.1 = 4.2*7.1
r =29.82
Answer:
Area of Garden: 108 feet
The area of the deck, not including the garden: 342 feet
Q3: $1,890
Q4: 151.2
Q5: $2041.2
Step-by-step explanation:
Answer:Dave has 74 and Bill has 37
Explanation:111÷3=37×2=<u>74</u>
111-74=<em>37</em>
B <
C =
D >
E >
F >
G <
I <
J <
K <
L >
M <
