Suppose you have 10 points in the plane with no three collinear. How many di↵erent line segments are formed by joining pairs of of these points? How many di↵erent triangles are formed by these line segments? If A is one of the 10 points, how many of the triangles formed by the line segments have A as a vertex?

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

This is so hard and it’s for a test

If 3x+8=3x+8 is it one solution or no solution