The number of gnats g(x), in millions, in a certain area depends on the may rainfall x, in inches. that relationship can be expressed by the quadratic function g(x) = - x2 + 18x how many inches of rainfall produces the maximum number of gnats?

9 inches of rainfall produces the maximum number of gnats.

Step-by-step explanation:

Given :

To Find :How many inches of rainfall produces the maximum number of gnats?

Solution:

G(x) =The number of gnats in millions.

x denotes the length of rainfall

To Find the maximum length find the mid point of zeroes .Since parabolas are symmetrical, the x value of the max falls 1/2 way between the zeros.

So, x = 0 , x= 18

Now Formula of midpoint :

Hence 9 inches of rainfall produces the maximum number of gnats.

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:  

1- c

2-a

step-by-step explanation:

mark brainliest!

no

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