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
Evgen [1.6K]
2 years ago
7

Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the same number, enter it into bot

h blanks.) slader
Mathematics
1 answer:
DedPeter [7]2 years ago
3 0

Answer:

X = 8, y = 8

Step-by-step explanation:

This question is an optimization problem. Two equations are going to be needed here

n = x+y

P = xy

Such that 64 = xy

When we divide through by x we get:

y = 64/x

So that n becomes:

n = x + 64/x

n = x+64x^-1

We take derivative

n' = 1-64x^-2

When n' = 0 then a min|max occurs

0 = 1-64x^-2

Such that:

64/x² = 1

Divide through by x²

64 = x²

x = √64

x = 8

Remember y = 64/x

So,

Y = 64/8

Y = 8.

X = 8, y = 8

Thank you!

You might be interested in
15) In a bakery, 3/4
emmainna [20.7K]

Answer:

3/5 is the answer

Step-by-step explanation:

5/5-2/5=3/5

5 0
2 years ago
A car travels 6 miles north and then turns right and travels 8 miles east to reach the garage. What is the straight line distanc
VMariaS [17]
6^2 + 8^2 = 100

\sqrt(100) = 10

10 miles
6 0
3 years ago
A chain of sports shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a b
Hitman42 [59]

Answer:

47.4 ;

50

Step-by-step explanation:

Given the data :

X ($) : 85 139 161 175 85 133 149 145 136 131 290 235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139

The smallest class interval :

Range / number of classes

Number of classes to use = 5

Range = Maximum - Minimum = (322 - 85) =237

Hence, smallest class interval :

237 / 5 = 47.4

A better class interval would be, one without decimal, rounded to the nearest 10; this will be easier and make more statistical sense

Hence, smallest class interval rounded to the nearest 10 :

47.4 = 50 (nearest 10)

3 0
2 years ago
12 x 4 + 36 ÷ 4 - 37
Anika [276]
The answer is 20 you do multiplication first then the division, add what both the numbers that you got. Then subtract 37 and you get 20
4 0
3 years ago
2x + 8 - 3x = 3 What is x and please show your work
Nitella [24]
So what you will need to do is subtract 2x - 3x = -x, then subtract three from both sides 8 - 3 and the answer will be -x + 5
7 0
3 years ago
Read 2 more answers
Other questions:
  • Three consecutive numbers have a sum of 18. *
    9·1 answer
  • An equilateral triangle of side 14 centimeters is revolved about an altitude to form a cone. What is the number of cubic centime
    11·1 answer
  • Brandon has 1 jill has 3 mark has 2 need Nicole has 4 and steve has 0 what is the mean​
    5·2 answers
  • If the sum of four consecutive numbers is n, what is the first one?
    14·1 answer
  • 7. Using k as the constant of proportionality, write an equation that expresses: Z varies jointly as x and y. If Z = 24 when x =
    12·1 answer
  • A 21-foot ladder is leaning against a building. The base of the ladder is 7 feet from the base of the building.
    13·1 answer
  • Ellen collected 88 empty cans to recycle,and Carl collected 72 cans. They packed an equal number of cans into each of two boxes
    13·1 answer
  • I need help with Geometry
    11·1 answer
  • In right triangle ABC, m B Em C. Let sin B = r and cos B = s.
    6·1 answer
  • Help on math aging sry if this is to much middle school question
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!