Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expr

Question

svlad2 [7]

3 years ago

5

Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expr

essions equal to y and graphs the equations. What is the greatest possible number of intersections for these graphs?

Mathematics

1 answer:

Jlenok [28] · Answer 1 · 2022-09-15T02:45:40+03:00

Answer:

2 intersections

Step-by-step explanation:

The greatest possible number of intersections of these graphs is 2 intersections. This is because a quadratic equation always appears on a graph as a parabola, either facing up or down. a Linear expression is a straight line, when placed in the same graph as a parabola only three things can happen. It can completely miss the parabola. It can pass through only one half of the parabola (thus intersecting at one point only), or lastly it can go through both halves of the parabola (intersecting at 2 points) as shown in the picture below.