a nonlinear system of inequalities consists of two or more inequalities. ____ of these is/are nonlinear

Mathematics

2 answers:

GrogVix [38]2 years ago

3 0

Answer:

A nonlinear system of inequalities consists of two or more inequalities. At least one of these is/are nonlinear

Step-by-step explanation:

System of non-linear inequalities--

A system of non-linear inequalities is a system of inequalities consisting of two or more variables such that it contain at least one inequality which is non-linear.

The difference between the system of linear inequalities and a system of non-linear inequalities is it may cover more region of the solution as compared to system of linear inequalities.

katrin2010 [14]2 years ago

3 0

The answer for apex is, one.

You might be interested in

write a linear equation that intersects y=x^2 at two points. Then write a second linear equation that intersects y=x^2 at just o

Liula [17]

We know that $y = x^2$ is a parabola, concave up, with vertex in the origin $(0,0)$

So, we may use three horizontal lines for our purpose: any horizontal line above the x axis will intersect the parabola twice. The x axis itself intersects the parabola once on the vertex, while any horizontal line below the x axis won't intercept the parabola.

Here's the examples:

The horizontal line $y = 4$ intercepts the parabola twice: the system $y = x^2,\ y = 4$ is solved by $x^2=4 \implies x = \pm 2$
The horizontal line $y=0$ intercepts the parabola only once: the system is $y=x^2,\ y=0$ which yields $x^2=0\implies x=0$ which is a repeated solution
The horizontal line $y=-5$ intercepts the parabola only once: the system is $y=x^2,\ y=-5$ which yields $x^2=-5$ which is impossible, because a squared number can't be negative.