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
abruzzese [7]
3 years ago
10

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

Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0
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,
You might be interested in
What is the total amount and the amount of interest earned on $5,000 at 8% for 20 years? Total Amount Interest Amount compounded
Lina20 [59]

Answer:

final balance = 24,634.02

compound interest = 19,634.02

Step-by-step explanation:

3 0
3 years ago
3x -4y = 13 y = -3x-7
Yuki888 [10]

Step-by-step explanation:

3x-4y=13

y=-3x-7

3x-4(-3x-7)=13

3x+12x+28=13

15x=-15

x= -1

y= -3x-7 = 3-7= -4

( -1, -4)

8 0
3 years ago
Samantha sends her son, barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo
Ipatiy [6.2K]
45d+70=$880. $880-70=$810. 810/45=18
5 0
3 years ago
Read 2 more answers
A tennis ball machine can launch 60 tennis balls in 12 minutes.
Leokris [45]

It's 300 because you divide 60 by 12 which gives you 5, then multiply 60 and 5.

8 0
2 years ago
F it costs $90 to feed a family of 3 for one week. (3 points)
Nataly [62]
Given:
$90 good for 3 pax for 1 week.

a) $90 / 3 = $30 cost to feed each person in a week
b) $30 cost to feed each person * 5 persons = $150
c) $30 cost to feed each person * 6 persons in a family = $180 

The formula derived from the above facts is:

Total cost = cost per person * no. of person * no. of weeks.

Assuming = 6 persons for 2 weeks
Total cost = 30 x 6 x 2
Total cost = 180 x 2
Total cost = 360 cost to feed a family of 6 in 2 weeks.

8 0
3 years ago
Other questions:
  • Both circle A and circle B have a central angle measuring 50°. The area of circle A's sector is 36π cm2, and the area of circle
    13·1 answer
  • What is the solution of the following system?<br> -2x-y=1<br> -4x-2y=-1
    5·1 answer
  • Triangle DEF is a right triangle and angles D and F are equal but are not right angles. What is the measure of angle E?
    7·1 answer
  • A pair of snow boots at an equipment store in Big Bear that originally cost $60 is on sale for 40% off. Then, you have a coupon
    12·1 answer
  • Overdraft protection means the bank will loan you the money needed to cover the check that cannot be covered by funds in the acc
    14·1 answer
  • 7) Will you ever get 100% red M&amp;M's in a packet? Explain your answer.
    14·1 answer
  • The sides lenghths of a triangle are 9, 12, and 18 is this a right triangle?​
    9·1 answer
  • Write the equation of the line in slope-intercept form.
    15·2 answers
  • Write and expression for the senqence of operations described below.
    14·1 answer
  • Determine the measure of angle ACD
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!