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harina [27]
3 years ago
11

The graph below shows the solution to a system of inequalities: Solid line joining ordered pairs 0, 3.75 and 15, 0. Shade the po

rtion 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
Mathematics
2 answers:
gulaghasi [49]3 years ago
7 0

Answer:

x + 4y ≤ 15; y ≥ 0

Step-by-step explanation:

it works

algol [13]3 years ago
4 0
(0,3.75)(15,0)
slope(m) = (0 - 3.75) / (15 - 0) = -3.75/15 = - 0.25 or -1/4

y = mx + b
slope(m) = -1/4
(15,0)...x = 15 and y = 0
now we sub
0 = -1/4(15) + b
0 = -15/4 + b
15/4 = b

y = -1/4x + 15/4
1/4x + y = 15/4....multiply by 4
x + 4y = 15.....and since it is a solid line, it contains an equal sign...and since it is shaded above the line, it is greater.
so ur inequality is : x + 4y > = 15 (thats greater then or equal)
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Answer:

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Step-by-step explanation:

In order to find the slope of a line you must find where the points intersect, use the formula for slope, substitute values, and simplify if needed.

In this case we were already given the points for slope:

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Slope formula:

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Now substitute:

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Solve using KCC: (Keep, Change, Change)

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Because the slope isn't a negative you do not need to simplify the answer.

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Step-by-step explanation:

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