child is being pushed on a swing by his father spotted at Imus Plaza, reaching a maximum height of 4 feet. The father stops pushing, and the maximum height of the swing decreases by 15% on each successive swing. What is the maximum height during the 5th swing?

1.7748 feet

Step-by-step explanation:

maximum height after 1 swing = 4 feet x (1 - 15%) = 3.4 feet

maximum height after 2 swings = 3.4 feet x (1 - 15%) = 2.89 feet

maximum height after 3 swings = 2.89 feet x (1 - 15%) = 2.4565 feet

maximum height after 4 swings = 2.4565 feet x (1 - 15%) = 2.088025 feet

maximum height after 5 swings = 2.088025 feet x (1 - 15%) = 1.7748 feet

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.

a

step-by-step explanation: