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Pavel [41]
3 years ago
15

The graphs of y = –7x + 12 and y = 2/3x –2/3 are shown. Which region describes the solution of the system of inequalities y ≤ –7

x + 12 and y ≤ –2/3x –2/3 ?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0
You can draw both lines y=-7x+12 and y=-2/3x –2/3 and define which part of the plane satisfies the unequalities y ≤ –7x + 12 and y ≤ –2/3x –2/3. For example, choosing point (0,0) you can see that
0 ≤ –7·0 + 12 (is true) and 0 ≤ –2/3·0 –2/3 (is false). This means that (0,0) is a solution of the first unequality and isn't a solution of the second unequality, hence (0,0) belongs to the shaded part of the plane defined by the first unequality and doesn't belong to the shaded part defined by the second unequality. Both (black on the image) parts intersect and the common area (red on the picture) is the <span>region that describes the solutions of the system of inequalities.</span>

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Based on the fact that the radius of the snowball increases by 0.36 inches every second, the linear function can be found to be y = 0.36x + 1.66

<h3>How to find the linear function?</h3>

The linear function is the function that shows how to change in the rate of the independent variable would affect the rate of change in the dependent variable.

The linear function takes the form:

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3 0
1 year ago
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