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8_murik_8 [283]
2 years ago
7

12х - 5 >3х^2 +5 I am confused how to solve this.

Mathematics
1 answer:
Agata [3.3K]2 years ago
6 0

Answer (3 different forms):

<u>1st Form:</u>

2+-\frac{1}{3} \sqrt{6}

<u>2nd Form:</u>

-\sqrt\frac{2}{3}+2

<u>3rd Form:</u>

\frac{6-\sqrt{6}}{3}

Or

(\frac{6-\sqrt{6}}{3}),(\frac{6+\sqrt{6}}{3})

Step-by-step explanation:

You can see that I put three different forms of answers, but they are all still equivalent answers. The reason why I got three different answers is because I put the inequality in three different calculators and they all got me different answers, but all three are still equivalent. The following three attachments are images of the three calculators that I used to solve.

Hope this helps and answers your question! :)

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Answer:

15% of 60 is 9

Step-by-step explanation:

15%= 3/20

3/20*60= 180/20

180/20= 9

15% of 60 is 9

Hope this helps!

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Part A: The solution is (-0.923,5.692)

Part B: The point (3,7) is not in the solution set.

Explanation:

Part A: The given inequalities are 3 x+4 y>20 and x

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

x=3 y-18 and 3 x+4 y=20

Let us substitute x=3 y-18 in the equation 3 x+4 y=20 , we get,

3 (3y-18)+4 y=20

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Substituting y=5.692 in x=3 y-18, we get,

x=3 (5.692)-18

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x=-0.923

Thus, the solution set is (-0.923,5.692)

Part B: Now, we shall determine whether the point (3,7) is in the solution set.

Let us substitute the point (3,7) in the inequalities 3 x+4 y>20 and x, we get,

3 (3)+4 (7)>20

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Also, substituting (3,7) in x, we get,

3

3

3

Since, the point (3,7) does not satisfy one of the inequality x , the solution set does not contain the point (3,7)

Thus, the point (3,7) is not in the solution set.

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