Calculate the unit rate for Machine A and Machine B. Determine which is the greater rate (Below). Machine A covers 5/8 square feet in 1/4 hour or Machine B covers 2/3 square feet in 1/5 hour.

Unit Rate of Machine A = 2.5 square feet per hour

Unit Rate of Machine B = 3.333 square feet per hour.

The unit rate of Machine B is greater than unit rate of machine A.

Step-by-step explanation:

The unit rates for both machines need to be calculated first.

The unit rate will be calculated as:

For Machine A:

Area Covered = 5/8

Time = 1/4

The unit rate will be:

For Machine B:

Area Covered = 2/3

Time = 1/5

As it can be seen that unit rate for Machine B is greater than Unit Rate of Machine A.

Hence,

Unit Rate of Machine A = 2.5 square feet per hour

Unit Rate of Machine B = 3.333 square feet per hour.

The unit rate of Machine B is greater than unit rate of machine A.

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:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: