BazukaChafa BazukaChafa
  • 26-11-2019
  • Mathematics
contestada

if the sum of two real number is 21, what is the greatest possible value of their product

Respuesta :

surjithayer10otahza surjithayer10otahza
  • 02-12-2019

Answer:

Step-by-step explanation:

let th numbers be x and y.

x+y=21

y=21-x

Product P=xy=x(21-x)=21 x-x^2

P'=21-2x

P'=0 gives 21-2x=0,x=21/2

P"=-2

which is less than 0 at x=21/2

so P is greatest at x=21/2

y=21-21/2=21/2

P=21/2 ×21/2=441/4=110.25

Answer Link

Otras preguntas

What is 2.5 as a percent? 0.25 250 25 2.5(I think this one but idk)
If you know the answer to any of these questions plz help me!!
please help on this one?
The measure of two vertical angles are 8x - 18 and 6x + 14. Find x. a. 16 b. 110 c. 32 4. 70
16 soccer clubs participate in soccer championship. Each club plays against every other one twice: once at home, the second time while away. How many matches ar
in a fit of anger jameel picked up the closest thing to him and flung it at shawnty the glass hit the wall and shatterd into a thousand pieces shawnty let out a
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
how to answer this? TvT
1/7 of the children caught the first train, 2/5 of the children caught the second how much cough the 3rd?
Two years ago a father was four times as old as his son. Three years from now the father will be only three times as old as the son. How old is each now? If x r