Answer:


Step-by-step explanation:
step 1
Find the equation of the solid line
From the graph take the points (0,3) and (4,11)
Find the slope

The equation of the solid line in slope intercept form is equal to

we have

----> the y-intercept is the point (0,3)
substitute

therefore
The inequality is

step 2
Find the equation of the dashed line
The slope is given

From the graph take the y-intercept (0,-5)
The equation of the solid line in slope intercept form is equal to
we have

substitute

therefore
The inequality is

because the shaded region is below the dashed line
therefore
The system of inequalities is


Answer:
y=-3/4x+3
Step-by-step explanation:
subtract 3x from both sides: 4y=-3x+12
Divide both sides by 4: y=-3/4y+3
You could use simple factoring to solve this. You would factor out a 7 and then have
7(3+4m) = A
l x w = A
w= 3 +4m
Answer:
-x^2 - 11x -30
Step-by-step explanation:
Solve using foiling. Ignore the -1 to begin with and just look at the part in parenthesis. Do x from the first parenthesis times the stuff in the second parenthesis.
ie: x(x) and x(6)
ie: x^2 + 6x
Then do the 5 times the things in the second parenthesis.
ie: 5(x) and 5(6)
ie: 5x + 30
Then add what you got from multiplying the first value to what you got from multiplying the second.
ie: x^2 + 11x + 30
This is a trinomial because it has three different variables. Now change all the signs to negative because of the -1 out front.
ie: -x^2 - 11x -30
Answer: (7/2)^2
Step-by-step explanation: