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:
5 kmph
Step-by-step explanation:
Given: Greg swam 4 kilometers against the current.
Greg swam 16 kilometers with the current.
Rate of the current was 3kmph.
Lets assume the speed of greg swimming with no current be "x".
∴ Speed of swimming against current= 
Speed of swimming with current= 
As given, it took same amount of time to swim both with current and against current.
∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.
We know, 
⇒ 
Multiplying both side by (x+3) and (x-3)
⇒
Using distributive property of multiplication.
⇒ 
Subtracting both side by 4x and adding by 48.
⇒
Dividing both side by 12
⇒
Hence, Greg can swim at the rate of 5kmph with no current.
Answer:
58.678
Step-by-step explanation:
Just make the answer reach 3 numbers after the decimal point.
Answer:
yes
Step-by-step explanation:
I am pretty sure. sorry if I'm wrong
