The graph below shows the solution to a system of inequalities: solid line joining ordered pairs 0, 3.75 and 15, 0. shade the portion of the graph above the line in the first and second quadrant which of the following inequalities is modeled by the graph? x + 4y ≥ 15; y ≥ 0 x − 4y ≥ 15; y ≥ 0 x + 4y ≤ 15; y ≥ 0 −x − 4y ≥ 15; y ≥ 0

The inequalities that are modeled by the graph are and

The points on the solid line are given as: (0,3.75) and (15,0)

Start by calculating the slope (m)

So, we have:

Simplify

Divide

Assume the linear inequality is a linear equation represented as:

So, we have:

Open brackets

The shaded region is above the solid line; so, the linear equation becomes:

Multiply through by 4

Add x to both sides

Hence, the inequalities that are modeled by the graph are and

Read more about inequalities at:

link

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

x = 12

y = 1

for the points!