In three-dimensional space, two planes can either:* not intersect at all,
* intersect in a line,
* or they can be the same plane; in this case, the intersection is an entire plane.
If it's a line it would only be 1, but if it's a parabola, or something with a curve, it could be multiple times.
The degree is equal to the maximum number of times the graph can cross a horizontal line.
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It would not touch or intersect the x-axis at all.
4 times a number added to 7 times the number equals 33
1
If it's a line it would only be 1, but if it's a parabola, or something with a curve, it could be multiple times.
one
No.
The maximum number of times the keyword "repetition" can be repeated in a single question is three.
"The sum of a number and three times another number is 18. find the numbers if their product is a maximum?"
4 times
In Euclidean planar geometry, not unless they're collinear, in which case they intersect an infinite number of times. In other types of geometry ... maybe.
A quadratic function can intersect the x-axis at most two times. This is because a quadratic function is represented by a polynomial of degree 2, and according to the Fundamental Theorem of Algebra, a polynomial of degree ( n ) can have at most ( n ) real roots. Since the degree is 2 for a quadratic function, it can have either two distinct real roots, one repeated real root, or no real roots at all, leading to a maximum of two x-axis intersections.
The maximum number of times a keyword can be repeated in a single question is typically around 2-3 times before it becomes redundant and repetitive.
parallel lines never intersect.
A line and a plane can intersect in three possible ways: they can be parallel and never intersect, they can intersect at a single point, or the line can lie entirely within the plane, resulting in an infinite number of intersection points. Thus, the possible outcomes are zero, one, or infinitely many intersection points.