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.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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