1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MariettaO [177]
4 years ago
11

Find two positive numbers whose product is 25 and whose sum is a minimum. (if both values are the same number, enter it into bot

h blanks.)
Mathematics
1 answer:
pshichka [43]4 years ago
4 0
Let xy = 25, x and y > 0.

y = \frac{25}{x}
\text{Denote S as: } x + y
S(x) = x + \frac{25}{x}

\text{Minimum: }S'(x) = 0, S''(x) > 0
S'(x) = 1 - \frac{25}{x^{2}}
1 - \frac{25}{x^{2}} = 0
x^{2} = 25
x = 5 (x > 0)

S''(x) = \frac{50}{x^{3}} > 0, (x > 0)

Thus, at x = 5, there lies a minimum summation, and this forms a square with side length of 5.
You might be interested in
Answer always, sometimes, or never.
vagabundo [1.1K]

Answer:

  • See below

Step-by-step explanation:

A) The diagonals of a parallelogram are perpendicular

  • Sometimes (rhombus)

B) The diagonals of a kite bisect each other

  • Sometimes (one of the diagonals is bisected)

C) A polygon is a quadrilateral

  • Sometimes (when it has 4 sides)

D) Thé diagonals of a rectangle are equal

  • Always (definition of rectangle)

E) Thé opposite angles of a parallelogram are equal

  • Always (definition of parallelogram)

F) A rhombus is a rectangle

  • Never (when all interior angles are equal it becomes a square)
3 0
2 years ago
Write an equation of a line that passes through the point (2,0) and is perpendicular to the line y = − 1/2 x + 3.
tatyana61 [14]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the quotient 5,433 divided by 8
masya89 [10]

Answer:

679.125

Step-by-step explanation:

I believe that quotient means divide. So you divide. put 5,433 in the box. then on the side put 8

3 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!! A spinner is divided into eight equal sections. Each section is labeled with one number, from 1-8. Maggie
miv72 [106K]

Answer:

d

Step-by-step explanation:

explanation- I think there a dent or something like the surface of the number seven being slightly high blocking the pointer and causing it to stop.

8 0
3 years ago
Read 2 more answers
Misha practices the guitar for 3 hours every day.
kakasveta [241]

Answer:

It is B. H = 3d

Step-by-step explanation:

I got it right :)

4 0
3 years ago
Read 2 more answers
Other questions:
  • Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes 2 poems by Shakespeare, 3
    7·1 answer
  • Three fourths as a decimal
    10·2 answers
  • Point N lies on the line segment MP . The distance between points M and P is 24 cm, and the distance between points N and M is t
    10·1 answer
  • The diameter of the base is the cone measured 8 units. The height measures 6 units.
    13·1 answer
  • 17/3= Improper fraction to a mix number
    14·1 answer
  • HELPPPPPPPP MEEEEEEEE
    6·2 answers
  • Solve -72 = 8 (y - 3) pls
    10·2 answers
  • Simplify 3 whole number 1/6 + 1 whole number 1/4 -2 whole number 2/3​
    13·2 answers
  • Bruvvv help ill give u brainlest
    15·2 answers
  • The sum of the interior angles of any triangle is equal to:
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!