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
Distribute.<br><br> 1/2 (8x - 16)
Kitty [74]

Answer:

b. 4x-8

Step-by-step explanation:

1/2 x(8x-16)

= 1/2(8x) - 1/2 (16)

=4x - 8

Hope this helped

6 0
3 years ago
Read 2 more answers
How many terms are in the expression 5x^2-3x+2?
Jlenok [28]

There are 3 terms, 5x^2, -3x, and 2

6 0
3 years ago
Read 2 more answers
Can you help me please?
Daniel [21]

59pounds * 5days = 295pounds

6.95pounds * 3breakfasts = 20.85pounds

12.50pounds * 1eveningmeal = 12.50pounds

295pounds + 20.85pounds + 12.50pounds = 328.35pounds

Wrote out the units just for clarity! Liz payed 328.25 pounds altogether.

4 0
3 years ago
John accepted a reduction of 15% on his salary when his company was not doing well. Now his company's financial position has imp
o-na [289]
To reverse a percentage decrease you divide it by the decrease (+ 100%)
For example we will pick the number, 100, which is decreased by 15% to 85.

To make 85 back to 100 we divide it by the decrease (1-0.15):
85 / 0.85 = 100

To find out how much 85 increased to get back to 100, we do:
15 / 85 = 0.1765 = %17.65

15 is the reduction/difference, and 85 is the with reduction total.

Because percentages stay the same, this is applicable to any numbers, from this, we know that whenever something is reduced by 15% - when restored to it's original is increased by %17.65

The answer is %17.65


6 0
3 years ago
Create a system of equations to represent the word problem. Then solve using the linear combination/elimination method. Show all
Leno4ka [110]

Answer:

Solution given:

model A printers [a] prints=80books per day

model B printers [b] prints=55books per day

total no of printers =9

no of model A printers be x

and

no of model B printers be [9-x]

According to the question;

ax+(9-x)b=670 books

substituting value of a and b; we get

80x+(9-x)55=670

80x-55x+495=670

25x=670-495=175

x=\frac{175}{25}=7

So;

no of model A printers =x=<u>7</u>

no of model B printers =9-x=9-7=<u>2</u>

<u>is</u><u> </u><u>your</u><u> </u><u>answer</u><u>.</u>

8 0
3 years ago
Read 2 more answers
Other questions:
  • The length of a rectangle is 8 cm longer than twice the width. If the perimeter is 34 cm, find the dimensions of the rectangle.
    7·1 answer
  • The frequency table shows the number of times some people visited a movie theater last year . which set could the frequency tabl
    7·1 answer
  • What is the amplitude, period, and phase shift of f(x) = −2 sin(3x − π) − 1?
    11·1 answer
  • (6x +19x² + 17x+8)/(2x+3)​
    7·1 answer
  • What is the equation for the situation? [The number of pizza meals sold by the concession stand was three times the number of ho
    8·1 answer
  • Find the slope of the line that passes through the points (-2, 3 ) and (5, 7) .
    11·2 answers
  • Loris makes 20 bracelets in 50 minutes. Doris makes 44 bracelets in 2 hours. Who makes more bracelets per hour? How many more?
    13·1 answer
  • Extra Credit: Place the numbers in order from least to greatest {23%, -1/3,5/6,
    10·2 answers
  • Are the pink arcs congruent?
    14·2 answers
  • Strings with 4 factors to get to 840
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!