Type the correct answer in the box. round your answer to the nearest whole number. calculate the man’s mass. (use pe = m × g × h, where g = 9.8 n/kg.) a man climbs a wall that has a height of 8.4 meters and gains a potential energy of 4,620 joules. his mass is about kilograms.

56 kg

Explanation:

The change in potential energy of the man is given by:

where

m is the man's mass

g is the gravitational acceleration

is the change in height of the man

In this problem, we have:

is the gain in potential energy

g = 9.8 m/s^2 is the gravitational acceleration

is the change in height

Re-arranging the equation and substituting the numbers, we find the mass:

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .