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
Dmitrij [34]
3 years ago
10

Find two positive numbers satisfying the given requirements. the product is 192 and the sum of the first plus three times the se

cond is a minimum. (first number) (second number)
Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0
<h3>Given</h3>

Two positive numbers x and y such that xy = 192

<h3>Find</h3>

The values that minimize x + 3y

<h3>Solution</h3>

y = 192/x . . . . . solve for y

f(x) = x + 3y

f(x) = x + 3(192/x) . . . . . the function we want to minimize

We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.

... f'(x) = 1 - 576/x² = 0

... 576 = x² . . . . . . . . . . . . multiply by x², add 576

... √576 = x = 24 . . . . . . . take the square root

... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y

The first number is 24.

The second number is 8.

You might be interested in
What measurement is equelvent to 3 meters
Lelu [443]

Answer:

The Chi and Zhang were units of length equivalent to approximately 25 centimeters (9.8 inches) and 3 meters (9.8 feet) respectively.

Step-by-step explanation: 300 centimeters if you need metric measurements.

4 0
2 years ago
Guys please please help me I’m begging u guys lol I need help please
Llana [10]

Answer:

What do you need help with?!?XD

Step-by-step explanation:


4 0
3 years ago
What is this equation? Solve for X-2/7=5/7
Anna [14]
<span>x−<span>2/7</span></span>=<span>5/<span>7
so this means x = 1</span></span>
5 0
3 years ago
Read 2 more answers
Adam and his dad share the cost of the meal in the ratio of 2:3.
mel-nik [20]
Given that the meal cost is shared by Adam and his dad is in the ratio 2:3 respectively, and the amount of money paid by Adam's dad was 52.20, thus the
total cost of meal will be:
Total ratio will be (2+3)=5
total cost will be:
5/3*52.20
=87
Thus we conclude that the total cost of food was 87 pounds

7 0
3 years ago
I need help with #7 c and d
Misha Larkins [42]

Answer:

  c. 33.0%

  d. 14.5%

Step-by-step explanation:

For answering questions about percentages in different categories or combinations of categories, it is convenient to find the totals of rows and columns in the table. These totals are shown in the attached.

__

<h3>c.</h3>

Students who surf total 32+65 = 97. Of those, 32 also skateboard. The requested percentage is ...

  32/97 × 100% ≈ 33.0% . . . . surfers who also skateboard

__

<h3>d.</h3>

The total number of students is 166. Of those, the number who neither surf nor skateboard is 24. That percentage is ...

  24/166 × 100% ≈ 14.5% . . . . students who don't surf or skateboard

_____

<em>Additional comment</em>

a. 97/166 ≈ 58.4% surf

b. 89/166 ≈ 53.6% do not skateboard

__

This sort of table is called a "two-way table." One set of categories is represented in rows, another set is represented in columns. This table is filled with <em>frequencies</em>. Such tables can also display <em>relative frequencies</em> by dividing the entire table by the total of totals in the lower right corner.

3 0
2 years ago
Other questions:
  • PLEASE HELP WITH THIS QUESTION. WILL MARK BRAINLIEST! 5 STAR RATING+ THANKS!
    14·1 answer
  • Find the measure of angle A.<br> 1<br> 32<br> 58
    10·1 answer
  • Can someone help me asap! (((#23)))
    11·1 answer
  • 7. If -3 &lt; x &lt; 3, determine c and d for the inequality c &lt; 2x + 1 &lt; d
    6·1 answer
  • Find the circumference of the object. Use $3.14$ or $\frac{22}{7}$
    12·1 answer
  • Find the value for X below <br><br><br><br> stop putting fake answers im reporting them all lol
    6·1 answer
  • I NEED HELP I HAVE BEEN DOING THIS FOR HOURS I ACTUALLY HAD A MENTAL BREAKDOWN PLEASE HELP ME I WILL MARK BRAINLIEST
    7·2 answers
  • Jeremy tracked the temperature as a weather front crossed his region. The temperature rose 12 degrees, fell 27 degrees, and fina
    13·2 answers
  • Which facts could be applied to simplify this expression? Check all that apply.
    10·1 answer
  • 36abc + 54ad i don't know the answer
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!