Is the point (-3,-2) a solution of the intersection of the following set of quadratic equations: Y < -X ^ 2X^2 + Y^2< 16
I don't see any set of equations.
All I see is poorly written inequality. What is supposed to follow the first ^ ?
Please write equations on one line
Is the point (-3, -2) a solution of the intersection of the following set of quadratic equations:
Y < - X ^ 2
X^2 + Y^2 < 16
To determine if the point (-3,-2) lies on the intersection of the given set of quadratic equations, we need to substitute the values of x and y into each equation and check if the conditions are satisfied.
The first equation is Y < -X^2. Plugging in x = -3 and y = -2 into this equation, we get -2 < -(-3)^2, which simplifies to -2 < -9. This condition is not satisfied, so (-3,-2) is not a solution of the first equation.
The second equation is X^2 + Y^2 < 16. Substituting x = -3 and y = -2 into this equation, we get (-3)^2 + (-2)^2 < 16, which simplifies to 9 + 4 < 16. This condition is satisfied, so (-3,-2) is a solution of the second equation.
Since (-3,-2) only satisfies one out of the two equations, it is not a solution of the intersection of the given set of quadratic equations.