I think the answer is
domain : (- infinity , infinity )
range : [ -2 , infinity )
i am sorry if my answer was wrong
Answer:

Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation

Mathematically solving for total distance traveled we have


Therefore the total distance traveled by the pendulum after 5 swings

A₆ =12
a₇ = ?? = x
a₈ 27
In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18
You use $25 each week for food from the grocery store how many weeks if you have 145,775
Your answer would be (w+2)(w−10). If you want me to explain please don't hesitate to ask.