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
padilas [110]
2 years ago
7

Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced

to lowest terms.
Mathematics
1 answer:
mylen [45]2 years ago
8 0

Answer:

x=119119,\;\;\;y=119119

Step-by-step explanation:

Let the x be the first number, y be the second number and p be the product of the first and second number.

i.e  x+y=238238   \Rightarrow x=238238-y

      p=xy

   \Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2

\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119

Now,

x=238238-119119\\\\ \Rightarrow x=119119

Hence, x=119119,\;\;\;y=119119

   

You might be interested in
Plz help me with this
Marrrta [24]

Answer:  c) 3

<u>Step-by-step explanation:</u>

Plug in y = -9 and the given x-value to see if it makes a true statement.

a) -4.5 falls in the piecewise function x < -3  --> y = -x

y = -x

-9 = -(-4.5)

-9 = 4.5    FALSE

b) -3 falls in the piecewise function -3 ≤ x ≤ -2  --> y = 2x

y = 2x

-9 = 2(-3)

-9 = -6    FALSE

c) 3 falls in the piecewise function x > -2 --> y = -x²

y = -x²

-9 = -(-3)²

-9 = -9   TRUE

d) 9 falls in the piecewise function x > -2 --> y = -x²

y = -x²

-9 = -(9)²

-9 = -81   FALSE

4 0
3 years ago
Esterday 5% of the 120 sixth graders at school were late. How many sixth graders were late?
Vladimir [108]

Answer:6 six graders were late. 10% would be 12, and half of that is 6. You need to divide that in half because 5 is half of 10.

8 0
2 years ago
Read 2 more answers
I don’t get this..please help!
Maslowich

Answer:

OPTION 1

Step-by-step explanation:

You just basically plug in x and y values in all the equations and check if you get the same answer each time.

Option 1 is correct because when you plug in let's say the first coordinates,10 and 4  it does give you 6 which is right.

Or you can test it the other way, just plugging in x values and see if you get the right y value for it shown above in the table.

Hope this helps!

3 0
3 years ago
Jamal dribbled his basketball for 3 minutes how many seconds was that
Scrat [10]
180 seconds hope this helps
4 0
2 years ago
Read 2 more answers
An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 we
aleksandr82 [10.1K]

Answer:

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.

State the hypotheses.

State the critical value(s).

State the test statistics.

State the decision

State the conclusion.

3 0
2 years ago
Other questions:
  • Robert wants to use all ingredients listed in the table to make a trail mix. How many 1/2 pound packages can he make? dried appl
    10·1 answer
  • Find the first term in the pattern with the formula: 40 • 6n – 1.
    11·2 answers
  • How to find 1% of 520
    13·1 answer
  • Please help:( I would really appreciate it
    6·1 answer
  • Simplify.<br> (3.8w+ 4) – 1.5w+8<br> 2.3 w+ 12<br> 5.3 w+ 12<br> 2.3 w-12<br> 5.3 w-12
    13·2 answers
  • Can someone help me with this writing assignment?
    9·1 answer
  • I need help who ever answers first will be given braniest
    5·2 answers
  • Solve 3[-x + (2 x + 1)] = x - 1.<br> x = 2
    5·1 answer
  • How do you simplify a fraction with a denominator of a variable like this <br> 6x/x
    13·1 answer
  • F(x) = 3x-1 , (f of g)(x) = x^2 , Find g(x)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!