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
garri49 [273]
3 years ago
10

Find two numbers x and y such that their sum is 60 and x2y is maximized.

Mathematics
1 answer:
Elina [12.6K]3 years ago
3 0
X + y = 60
P = x^2 y

From first  equation y = 60 - x

P = x^2(60 - x)
P = 60x^2 - x^3
Finding the derivative of P and equating to zero:-
P' = 120x - 3x^2 = 0
 -3x ( x - 40) = 0
 x = 40 
This makes y = 20
So maximum values of x^2y  = 40^2 * 20 =  32,000.
You might be interested in
There are 24 boys and 16 girls in a hall, each holding coins in their hand.The mean number of coins for the children is 11, The
Karolina [17]

Answer:

14

Step-by-step explanation:

The computation of the mean number of coins for the girls is shown below:

Since there are 24 boys and 16 girls so the total children is 40

So the number of coins for all children is

= 40 × 11

= 440

And, the number of coins for all boys is

= 9 × 24

= 216

Now the mean is

= (440 - 216) ÷ 16 girls

= 14

4 0
3 years ago
A test is worth 100 points. The test is made up of 40 items. Each item is worth either 2 points or 3 points. Which matrix equati
lidiya [134]

Answer:

Total number of points in the test = 100

Total number of items in the test = 40

Let number of items of 2 points be x and number of items of 3 points be y.

Now, using the given information the situation can be represented by using the following equations :

⇒ x + y = 40 .........(1)

⇒ 2x + 3y = 100 .........(2)

The matrix equation is :

\begin{bmatrix}1 & 1\\ 2& 3\end{bmatrix}\cdot \begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}40\\ 100\end{bmatrix}

By solving the equation (1) and equation (2), we get :

Solution : x = 20 and y = 20

4 0
3 years ago
Read 2 more answers
Knitting a scarf. On average she can knit 2 mm in 35 minutes. Express this as a rate in mm/min​
Natali5045456 [20]

Answer:

she can knit 1mm/17.5min or she can knit 1mm in 17 minutes and 30 seconds.

8 0
2 years ago
A number b minus 4.2 is less than −7.5
Kruka [31]
B - 4.2 < -7.5
subtract b and 4.2 
less then sign is <
then <-7.5
5 0
3 years ago
Read 2 more answers
I need help plz plz ​
Reptile [31]
It is 1/3 have a great day !!
8 0
3 years ago
Read 2 more answers
Other questions:
  • The perimeter of a square is 56cm. What is the approximate length of its diagonal?
    5·2 answers
  • The triangles are similar. Find the value of x.
    15·2 answers
  • I’m just tryna pass ‍♂️
    7·1 answer
  • Graph the image of the figure using the transformation given
    14·1 answer
  • Can u help me?<br>3×p + 4 &gt; -2 ​
    12·1 answer
  • What is the range of f(x)?
    12·1 answer
  • Use the substitution method to solve the system of equations: y = x + 2; y =
    15·1 answer
  • A book contains 27 pages with print and 8 pages with print and pictures and 3 blank pages with is the theoretical probability of
    9·1 answer
  • Diane is starting a business selling handmade necklaces. She has decided to invest an initial
    11·1 answer
  • recent ecological survey showed that the ratio of deer to foxes was 7 to 3 in one county in Texas. If there were 210 foxes in th
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!