Which ordered pair is a solution to the following system of inequalities? y ≤ –x2 + 8x y > x2 – 3 (–1, 4) (0, 9) (2, 7) (4, 3
2 answers:
(2, 7) are the coordinate which ordered pair is a solution to the following system of inequalities and
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Inequality is defined as the relation which makes a non-equal comparison between two given functions.
we want to find which ordered pair is a solution to the following system of inequalities.
The solution of a inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the inequality is the graph of all solutions of the system.
Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.
x = 2 and y = 7
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<h2>Steps:</h2>
So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:
Next, divide both sides by 2:
Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:
-8 ÷ 2 = -4, (-4)² = 16
Add 16 to both sides of the equation:
Next, factor the left side:
Next, square root both sides of the equation:
Next, add 4 to both sides of the equation:
Now, while this is your answer, you can further simplify the radical using the product rule of radicals:
- Product rule of radicals: √ab = √a × √b
√12 = √4 × √3 = 2√3.
In exact form, your answer is
In approximate form, your answers are (rounded to the hundreths)