In mathematics, the process of uncovering the intersection (and) is about pinpointing the shared elements within two or several sets. This concept is represented by the ∩ symbol in set theory. When dealing with equations or graphical representations, the intersection point(s) are the locations where the lines or curves intersect.
| Topic | Problem | Solution |
|---|---|---|
| None | Use the graph that shows the solution to $f(x)=g(… | The question is asking for the solution to the equation \(f(x) = g(x)\). This means we need to find… |
| None | Where do the lines $x+y=1$ and $6 x-2 y=6$ inters… | The problem is asking for the intersection point of the lines \(x+y=1\) and \(6x-2y=6\). |
| None | In this question you must show all stages of your… | Set the equations of the line and the curve equal to each other and solve for x: \(x + y = 6\) and … |
| None | $\begin{array}{l}y=x^{2}-2 x+1 \\ y=-x^{2}+3 x+4\… | Given the two equations: \(y=x^{2}-2 x+1\) and \(y=-x^{2}+3 x+4\) |
| None | $\begin{array}{c}y=\frac{3}{2} x+3 \\ x=-4\end{ar… | Substitute x = -4 into the equation y = \(\frac{3}{2}\)x + 3 |
| None | Use the diagram to work out the solution to these… | Since both equations are already in the form of y, we can set them equal to each other: \(-2x + 7 =… |
| None | $\begin{array}{l}y=-x+3 \\ y=6 x-4\end{array}$ | Set the two equations equal to each other: \(-x + 3 = 6x - 4\) |