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Blababa [14]
3 years ago
11

Which coordinate (g, z) lies in the solution set for the following system of inequalities?

Mathematics
1 answer:
geniusboy [140]3 years ago
7 0

Answer:

B. (6, 1)

Step-by-step explanation:

A graph of the solution space shows that the point (6, 1) is the only one that satisfies both inequalities.

___

<em>Verification</em>

3(6) +4(1) = 18 +4 = 22 < 24

3(6) -4(1) = 18 -4 = 14 > 12

_____

<em>Notes on the Solution</em>

The graphing calculator used here only recognizes variables x and y. Since g is the first variable in the ordered pair (g, z) we use x to represent g in the equations that are graphed. Similarly, y is used to represent z in the graphed equations.

You graph an inequality by graphing it as though it were an equation, then choosing the appropriate half-plane (one side of the line or the other) to shade as the solution space. Where the shadings from the two inequalities overlap, both are satisfied by points in that area.

In the first inequality, x and y values that are less than those on the line will satisfy the inequality, so the shading is below the line.

In the second inequality, x values greater than those on the line will satisfy the inequality, so the shading is to the right of the line.

In both cases, the line is graphed as a dashed line. This is because the points on the line do not satisfy the < or > conditions, so are not part of the solution set. (If one or both conditions were ≤ or ≥, then the corresponding line would be solid, and the points on the line would be part of the solution.)

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Dinesh has been keeping track of his time at work over the past month. Answer the questions below using the information provided
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The total hours that Dinesh worked each week over the past month are as follows:

<h3>Dinesh's Time in Hours</h3>

                Total Hours

                   Worked

Week 1        37.500    

Week 2       36.071

Week 3      35.999

Week 4      34.570

Total          144.140

<h3>Data and Calculations:</h3><h3>Dinesh's Time in Hours</h3>

                Meetings  Administration   Project X -  Project X-  Total Hours

                                                               Design   Deliverables    Worked

Week 1        7¹/₄               4¹/₄                  23¹/₃              2²/₃

Week 2       4²/₃              2⁴/₇                  16¹/₃              12¹/₂

Week 3      3.50             3.83                9.33              19.33

Week 4      6.17                3.40                4.20              20.80

<h3>Conversion into Dinesh's Time in Hours (decimals)</h3>

                Meetings  Administration   Project X -  Project X-  Total Hours

                                                              Design   Deliverables    Worked

Week 1        7.250            4.250           23.333           2.667          37.500    

Week 2       4.667            2.571             16.333         12.500          36.071

Week 3      3.500            3.833              9.333          19.333         35.999

Week 4       6.170            3.400             4.200        20.800          34.570

Total        21.587            14.054            53.199        55.300         144.140

Thus, Dinesh's total hours worked for the past month was <u>144.140 hours</u>.

Learn more about calculating hours worked at brainly.com/question/17054097

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Please answer number 14<br> I already tried but don’t understand
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Step-by-step explanation:

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Generally, when finding the zeros these functions, you are told to factor the equation. Once you have factored the equation, you can set the factors equal to zero to find the points where the function touches the x-intercept.

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