Answer:
Option D. No solution
Step-by-step explanation:
<u>We have the equation of a line: </u>
We find their cut points.
<em>Cut point with the y axis. (x = 0) </em>
<em>Cut point with the x axis. (y = 0) </em>
.
The line cuts to the x-axis at and cuts the y-axis at
<u>We have a parabola </u>
We can factor this quadratic equation by looking for 2 numbers that when multiplied give as result -3 and that when adding these numbers as a result -2. These numbers are -3 and 1.
Then the factors are:
The zeros are 3 and -1. So <em>the parabola cuts to the x axis at points </em><em>3</em><em> and</em><em> -1</em><em>. </em>
<em>Now we find the cut points with the y axis. (x = 0) </em>
<em>The parabola cuts to the axis y in y = -3. </em>
Now we can graph the line and the parabola. Observe the attached image.
<em>The system has no solution because the line and the parabola never intersect or touch each other. The answer is the option D</em>
