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
viva [34]
3 years ago
9

Of all the numbers whose difference is 36​, find the two that have the minimum product

Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer:

54,18

Step-by-step explanation:

Let one of the numbers be x. The other number be represented as 36-x

(x-(36-x ) = 36

open brackets

x - 36 + x  =  36

x + x = 36+ 36 = 72

2x = 72

x = 72/2 = 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 differentiate by 36, the other number is 18 + 36 = 54

So the 2 numbers are 18 and 54 and the minimum product is 972

You might be interested in
Why is it necessary to learn how to factor if you can just use the quadratic formula to solve quadratic equations?
xxTIMURxx [149]
Because u might need it in the real world.
4 0
3 years ago
What is 578 x 6,937, please
kati45 [8]
<span>400,958,6 Hope this helps!</span>
7 0
3 years ago
Read 2 more answers
5 positive integers are arranged in ascending order, as follows:
Olegator [25]

Answer:

x = 16

Step-by-step explanation:

Since the numbers are in ascending order, x is the number with the highest value here.

From the arrangement, we can see that the median (the middle number) is the third number which is 9

The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median

We have this as;

(1 + 9 + 9 + 10 + x)/5 = 9

29 + x = 5(9)

29 + x = 45

x = 45-29

x = 16

5 0
3 years ago
Which of these expressions is equivalent to 3 ( x - 2)?
Mumz [18]

Answer:

3x-6

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help
zheka24 [161]

Answer:

5x<29-4

5x<25

x<25÷5

x<5

3 0
3 years ago
Other questions:
  • Does 15/25 x 25/15 = 0?
    11·1 answer
  • Tim measures the length of four grasshoppers in his backyard: 5/4 cm, 7/4 cm, 9/4 cm, and 3/4 cm. What is the average length.​
    15·1 answer
  • What numbers can go into 81 and 200
    9·1 answer
  • Explain how to find the central angle of a circle?
    12·1 answer
  • Which fraction is equal to 0.5 7
    14·1 answer
  • PLEASE HELP ASAP
    9·2 answers
  • Help me asap need it
    13·1 answer
  • A flower arrangement was marked down 12.5%. if the flowers originally cost $20, what is the amount of the discount?
    13·2 answers
  • What kind of angle is​
    13·2 answers
  • The perimeter of a triangle is 26 feet. One side of the triangle is 3 times the second side. The third side is 6 feet longer tha
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!