can someone help?
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water:
Graph: -2x^2+ 20x+ 400
What do the x-intercepts of the graph represent?
-There were 20 larvae at 0 degrees Celsius.
-There were 10 larvae at 0 degrees Celsius.
-The water has no larvae at -10 degrees Celsius and 20 degrees Celsius.
-The water has maximum larvae at -10 degrees Celsius and 20 degrees Celsius.

Question

can someone help?
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water:
Graph: -2x^2+ 20x+ 400
What do the x-intercepts of the graph represent?
-There were 20 larvae at 0 degrees Celsius.
-There were 10 larvae at 0 degrees Celsius.
-The water has no larvae at -10 degrees Celsius and 20 degrees Celsius.
-The water has maximum larvae at -10 degrees Celsius and 20 degrees Celsius.

academicgurusinc · Answer

"The water has no larvae at -10 degrees Celsius and 20 degrees Celsius." is correct.  The reason being that at the x intercept, y=o.  Since y represents the number of insect larvae and x is the temperature of water, the water has no larve at -10 degrees and 20 degress because these are the "zeros" of the functions.  you can use the factoring meathod to determine this.

academicgurusinc · Answer

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