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Natasha2012 [34]
2 years ago
6

Which ordered pair is a solution to the following system of inequalities?

Mathematics
1 answer:
PtichkaEL [24]2 years ago
3 0

Answer: (0,-1)

Step-by-step explanation:

Let's start with the first inequality, y < -x^{2}+x. To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.

  • A) -1 < -0^{2}+0 \longrightarrow -1 < 0 \longrightarrow \text{ True}
  • B) 1 < -1^{2}+1 \longrightarrow 1 < 0 \longrightarrow \text{ False}
  • C) -3 < -2^{2}+2 \longrightarrow -3 < -2 \longrightarrow \text{ True}
  • D) -6 < -3^{2}+3 \longrightarrow -6 < -6 \longrightarrow \text{ False}

Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).

  • A) -1 > 0^{2}-4 \longrightarrow -1 > -4 \longrightarrow \text{ True}
  • C) -3 > 2^{2}-4 \longrightarrow -3 > 0 \longrightarrow \text{ False}

Therefore, the answer is <u>(A) (0, -1)</u>.

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3 years ago
If g(x) = -2x - 2, find g(-2x).​
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Keith_Richards [23]

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3 years ago
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a circle is centered at the point -3,2) and passes through the point (1,5). The radius of the circle is blank units. The point (
lianna [129]
It's important that you share the complete question.  What is your goal here?  Double check to ensure that you have copied the entire problem correctly.

The general equation of a circle is x^2 + y^2 = r^2.  Here we know that the circle passes thru two points:  (-3,2) and (1,5).  Given that a third point on the circle is (-7, ? ), find the y-coordinate of this third point.


Subst. the known values (of the first point) into this equation:  (-3)^2 + (2)^2 = r^2.  Then 9 + 4 = 13 = r^2.

Let's check this.  Assuming that the equation of this specific circle is 
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(1)^2 + (5)^2 = 13 is not true, unfortunately.

(1)^2 + (5)^2 = 1 + 25 = 26 (very different from 13).

Check the original problem.  If it's different from that which you have shared, share the correct version and come back here for further help.



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