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
Roman55 [17]
3 years ago
7

Among all pairs of numbers with a sum of 105 , find the pair whose product is maximum. Write your answers as fractions reduced t

o lowest terms.
Mathematics
1 answer:
Bond [772]3 years ago
8 0

Answer: Hence Pair( x, y) = [ 105/2, 105/2]

Step-by-step explanation:

Given that;

Among all pairs of numbers with a sum of 105;

the pair whose product is maximum = ?

so let pairs of numbers with a sum of 105 be x and y respectively

x + y = 105

let y = 105 - x

now

product = xy =  x( 105 - x ) = 105x - x²

now

p(x) = 105x - x²

for maximum value of p

dp/dx =0

⇒ dp/dx = 105 - 2x = 0

2x = 105

x = 105/2

y + x = 105

y = 105 - x

y = 105 - 105/2 = 105/2

Hence Pair( x, y) = [ 105/2, 105/2]

You might be interested in
What is<br>1/4 - (-1/6)​
scZoUnD [109]

Answer:

1/12

Step-by-step explanation:

1/4 - (-1/6)

1/4 + 1/6 = 3/12 - 2/12 = 1/12

Hope this helped :D

4 0
3 years ago
Hey guys what is point Q on this one??
igomit [66]

Answer:

Letter c is the answer

Step-by-step explanation:

Hope this helped!!

5 0
3 years ago
Every Friday the boss buys pizza for his workers. Last week the workers finished 5 pizzas. This week
Viktor [21]

Answer:

40 : 43

Step-by-step explanation:

5 : 5 3/8

5: 43/8

lets clear out denominator to eliminate the fraction

(8)(5) : <u>(43)(8)</u><--- the 8's cancel

               8  <--- the 8's cancel

40  : 43

40 : 43

5 0
3 years ago
What is the solution to this equation x + 14= -6
Inga [223]

Answer:

This is linear equation you're asked to find C I guess so collect like terms and find X

x=-6-14

x=-20

5 0
3 years ago
-8y^3( 7y^2- 4y - 11)<br><br>How do you Factor this?
marshall27 [118]

-8y^3( 7y^2- 4y - 11)

-8y^3 (7y-11) (y+1)

8 0
3 years ago
Other questions:
  • Given cos A = -.45 find angle A in degrees. Round your answer to the nearest hundredth.
    10·1 answer
  • Similarities and differences between sine and cosine graphs — Algebra 2
    14·1 answer
  • Jane has 2/3 of a lemon pie left over after Easter.she decided to give 1/2 of it to her sister.How much of the whole lemon pie w
    9·1 answer
  • A basketball team is to play two games in a tournament. The probability of winning the first game is .10.1 the first game is won
    7·2 answers
  • What is the slope of the line? Type fractions as y/x).
    15·1 answer
  • Answer this and I’ll give more points!!
    8·1 answer
  • Write the following quadratic expression in standard form: ( 2 x − 1 ) ( 3 x − 1 )
    9·1 answer
  • Factor completely 21x^3+35x^2+9x+15
    5·1 answer
  • Can you help me? PLEASE
    9·1 answer
  • Solve the following question
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!