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MatroZZZ [7]
2 years ago
6

Which graph represents the solution set of the system y ≤ x2 – 1 and x > y2 – 6?

Mathematics
2 answers:
Free_Kalibri [48]2 years ago
4 0

The fourth option is indeed correct on Edge 2021.

mario62 [17]2 years ago
3 0

Answer:

The answer is the fourth option.

Step-by-step explanation:

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What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?
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we have

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we know that

To find the zeros of the quadratic equation equate to zero

2x^{2}-10x-3=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

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2(x^{2}-5x)=3

Complete the square. Remember to balance the equation by adding the same constants to each side.

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Rewrite as perfect squares

2(x-2.5)^{2}=15.5

(x-2.5)^{2}=7.75

(x-2.5)=(+/-)\sqrt{7.75}

(x-2.5)=(+/-)2.78

x1=(+)2.78+2.5=5.284  or  x1=\frac{\sqrt{31}}{2} +2.5

x2=(-)2.78+2.5=-0.284  or  x2=-\frac{\sqrt{31}}{2} +2.5

therefore

<u>the answer is</u>

x1=5.284  or  x1=\frac{\sqrt{31}}{2} +2.5

x2=-0.284  or   x2=-\frac{\sqrt{31}}{2} +2.5

see the attached figure to verify

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3 years ago
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