Abiologist 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 of y equals minus 2 times the square of x plus 20 times x plus 400 what does the peak of the graph represent? the number of larvae is greatest at 450 degrees celsius. the number of larvae is greatest at 5 degrees celsius. the least number of larvae in the water is 450. the least number of larvae in the water is 5.

Answer : The number of larvae is greatest at 5 degrees Celsius.

Given the equation

x is the temperature of water in degrees Celsius, and y is the number of insect larvae in the water

Peak of the graph is the vertex

Now we find out the vertex from the given equation

To find x coordinate of vertex we use formula x=

a= -2, b= 20

So x=

x =

x = 5

Now we find out y

Plug in 5 in the place of x

y= 450

Vertex is (5,450)

It means the number of larvae reaches the maximum of 450 at 5 degree Celsius

Hence , the number of larvae is greatest at 5 degrees Celsius.

answer: 12

step-by-step explanation:

14

step-by-step explanation:

14 x 3 = 42