A nonlinear system of equation is a system of equation that has at list one nonlinear equation
A nonlinear system of equations that has one linear function that never intersects the quadratic function has; <u>No solution</u>
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The reason the option selected for the number of solutions is correct is as follows;
Required:
The number of solutions a system of nonlinear equations that do not intersect have
Solution:
The given system of equation is presented as follows;
Linear function: f(x) = m·x + c
Quadratic function: f(x) = a·x² + b·x + c
Given that the linear function never touches the quadratic function, we have;
a·x² + b·x + c ≠ m·x + c
Therefore, the equations are never equal hand they have no common solution
Therefore, the correct option is <u>No solution</u>
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