The path of a volleyball thrown over a net is modeled with the function A(x)=−0.02x^2+0.6x+5, where x is the horizontal distance, in feet, from the starting point, and A is the altitude of the ball in feet. Write an equation that can be solved to find out how far the ball travels horizontally before it hits the ground. Then find the distance to the nearest foot.

the f

last graph i believe

step-by-step explanation:

worked it out i believe

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: