If the relationships below are given in the form (input, output), which pairing always describes a function? (a person’s age in years, that same person’s height in inches) (a person’s weight in pounds, that same person’s height in inches) (a person’s height in centimeters, that same person’s height in inches) (a person’s telephone number, that same person’s height in inches)

A person’s height in centimeters, that same person’s height in inches would be a function.

Step-by-step explanation:

A relation is said to be a function if it has one single output for each input.

A relation is not said to be a function if any single input has two outputs.

First option is not a function as two person with same age can have two different heights.

Second option is not a function as two person with same weight can have different height .

Third option is a function as If two persons height is same in centimeters then it will same in inches too. Therefore here is only one output for each input.

Fourth option is not a function as it can happen that two persons using same telephone number can have different height.

A person’s height in centimeters, that same person’s height in inches.

Step-by-step explanation:

For a function to be a well-behaved relation, we must know the point that we are starting from and the next point that we have to move to.

(a person’s age in years, that same person’s height in inches) - these two values telling about a person's age and height are not co-related so it is not a function.

(a person’s weight in pounds, that same person’s height in inches) - these two values telling about a person's weight and height are not co-related so it is not a function.

(a person’s telephone number, that same person’s height in inches) - again a person's phone number does not tell us anything about his height so this is not a function either.

While a person’s height in centimeters can tell us that same person’s height in inches as well so this describes a function.

51

step-by-step explanation:

73-22=51 the   mass number minus the amount of protons gives you the amount of neutrons

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.