You approach this by identifying the line that bounds the shaded area and the side of the line the shaded area represents.
The line that has positive slope has a slope of 1 (it goes 1 square up for 1 square to the right), and it has a y-intercept of -2. Thus its equation is
y = x - 2
The shaded area is below this solid line, so corresponds to the solution to
y ≤ x - 2
Only one answer selection includes this inequality—the last one. You answer this by making the selection of that system of inequalities.
y ≤ x - 2
y ≤ -3x -6
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Had there been more choices that included the inequality we found, you would then look at the other line. It has a slope of -3 (down 3 squares for each square to the right) and it intersects the y-axis at y = -6. Thus its equation is
y = -3x - 6
Again, the shaded area is below the line (y values are less than those defined by the line), so the shaded area corresponds to the solution of
y ≤ -3x - 6
Now, you have both of the inequalities in the system of inequalities. The shaded area is the area that belongs to the solution sets of both of them.
Simplifying
6.4n + -10 = 4.4n + 6
Reorder the terms:
-10 + 6.4n = 4.4n + 6
Reorder the terms:
-10 + 6.4n = 6 + 4.4n
Solving
-10 + 6.4n = 6 + 4.4n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-4.4n' to each side of the equation.
-10 + 6.4n + -4.4n = 6 + 4.4n + -4.4n
Combine like terms: 6.4n + -4.4n = 2n
-10 + 2n = 6 + 4.4n + -4.4n
Combine like terms: 4.4n + -4.4n = 0.0
-10 + 2n = 6 + 0.0
-10 + 2n = 6
Add '10' to each side of the equation.
-10 + 10 + 2n = 6 + 10
Combine like terms: -10 + 10 = 0
0 + 2n = 6 + 10
2n = 6 + 10
Combine like terms: 6 + 10 = 16
2n = 16
Divide each side by '2'.
n = 8
Simplifying
n = 8
<em>-ur local skatergirl, Rin:)</em>
Answer:
20%
Step-by-step explanation:
Substitute for the values of x and then, solve the equation so using one another.