Find two positive numbers whose product is 36 and whose sum is a minimum.

Question

17-10-2017
Mathematics

contestada

Find two positive numbers whose product is 36 and whose sum is a minimum.

Respuesta :

ACCESS MORE

Otras preguntas

The standards established by the _______________ require that programs provide curricular and experiential offerings in multicultural and pluralistic trends, in

Which of the following specialized structures/inclusions would aquatic photoautotrophic bacteria likely possess? 1. Thylakoids 2. PHB Granules 3. Carboxysomes 4

Consider a constant volume process involving heat addition to a closed system consisting of an ideal gas with no changes in kinetic or potential energy. Is the

How did the depression give rise to conditions that made the election of 1896 important?

Match each workplace scenario with the skill or behavior the individual displays in that scenario. diversity awareness note-taking skills problem-solving ski

A large manufacturing company needs to upgrade its computer system to include more up-to-date software for its production line scheduling. Which type of buying

For each parallelogram, determine the most precise name AND find the measures of the numbered angles, showing all the work and stating the postulates used. Prec

A 100. mL solution of NaOH has a pH of 13.51. If you add 110 mL of water to the original solution, what will the resulting pH be?

The newspaper article praised the actions of Ponyboy, Johnny, and Dally; however, something in the column about him, Soda, and Darry disturbed him. Explain.

PLEASE HELP ME ANSWER 1. 2. 3. I will mark as brainliest

johnsonjessica2 johnsonjessica2 · Answer 1 · 2017-10-17T22:01:13+02:00

Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2

The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.

If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,

ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-04-08T10:44:00+02:00

Two positive numbers whose product is 36 and whose sum is a minimum are 6 and 6.

When the sum of the numbers will be the minimum?

The sum of the numbers will be the minimum when numbers will be equal to each other.

36 can be written as:

(1)36 = 1*36

Sum of the numbers= 1 +36 =37

(2)36 = 2*18

Sum of the numbers = 2+18 =20

(3)36 = 3*12

Sum of the numbers= 3+12 = 15

(4)36 = 4*9

Sum of the numbers= 4+9 =13

(5)36 = 6*6

Sum of the numbers= 6+6 =12.....Minimum

We can see that when we write 36 =6*6, the sum of the numbers is 12 which is the minimum.

Therefore, two positive numbers whose product is 36 and whose sum is a minimum are 6 and 6.

To get more about numbers visit:

https://brainly.com/question/1746829