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Dmitry_Shevchenko [17]
2 years ago
11

Which graph shows the solution to this system of inequalities? y>-1/3x+1 y>2x-3

Mathematics
1 answer:
Mademuasel [1]2 years ago
6 0

Given:

The system of inequalities is:

y>-\dfrac{1}{3}x+1

y>2x-3

To find:

The graph of the given system of inequalities.

Solution:

We have,

y>-\dfrac{1}{3}x+1

y>2x-3

The related equations are:

y=-\dfrac{1}{3}x+1

y=2x-3

Table of values for the given equations is:

    x                   y=-\dfrac{1}{3}x+1             y=2x-3

   0                             1                              -3

   3                             0                              3

Plot (0,1) and (3,0) and connect them by a straight line to get the graph of y=-\dfrac{1}{3}x+1.

Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of y=2x-3.

The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.

Therefore, the graph of the given system of inequalities is shown below.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

We could write an equation to make it simpler to figure out, making the number of hours after three months = n, 4 = weeks in a month, 3 = the number of months, and 45 = the number of hours after a week. As an equation, it would look like:

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We know 3 *4 is 12, so the equation becomes 45 * 12 = n.

45 * 12 = 540, therefore the pianist practices an average of approximately 540 hours over a three-month period of time.

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3 years ago
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