A pumpkin is launched from a giant slingshot. Its path can be modeled by h=-16t^2+176t, where h(t) is the height in feet after "t" seconds. Answer the following questions algebraically. *Enter number values ONLY*

1. At what height did the pumpkin start? (Hint: Set t=0)

2. When did it hit the ground? (Hint: Set h(t)=0, use quadratic formula)

3. When did it reach its maximum height? (Hint: x= -b/2a)

4. What was the maximum height? (Hint: Plug in value from question #3 as 't' in equation)

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0