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
jeyben [28]
3 years ago
14

Let x and y be two positive numbers whose sum is 175 and (x+3)(y+4) is a maximum

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0

Answer:

Step-by-step explanation:

x+y = 175

y = 175 - x

f(x) = (x+3)(y+4)

= x(175-x) + 3(175-x) + 4x + 12

= 175x - x² + 525 - 3x + 4x + 12

= -x² +176x + 537

f'(x) = -2x + 176

maximum when x = 88

y = 175-x = 87

You might be interested in
Please help if possible :)
n200080 [17]

9514 1404 393

Answer:

  (a) no

  (b) no

Step-by-step explanation:

The two questions are asking essentially the same thing. There is nothing that indicates DC ≅ DB or that AC ≅ AB. One (both) of these conditions is (are) required for ΔBAC to be isosceles, so that AD is both a perpendicular bisector of BC and a bisector of angle BAC.

There is not enough information to answer either question affirmatively.

8 0
3 years ago
Good evening, I am taking an Algebra class for the first time after 50 years, and can not remember how to find the point-slope f
Olin [163]
m=-1/5p x 10.4
m=-1/5p x 52/5
m=-52/25p

8 0
3 years ago
For each of the following vector fields F, decide whether it is conservative or not by computing curl F. Type in a potential fun
Burka [1]

Answer:

1,2 and 4 are conservatives

3 is not conservative

Step-by-step explanation:

We calculate  the Curl F

Remember that:

        Curl F = <\frac{dFz}{dy} - \frac{dFy}{dz}, \frac{dFz}{dx} - \frac{dFx}{dz}, \frac{dFy}{dx} - \frac{dFx}{dy}>

1. Curl F = <0,0,5-5> = <0,0,0>

  The potential function f so that  ∇f=F

  f(x,y,z) = -3x^{2} +5xy + 5y^{2}

  Then F is conservative

2. Curl F = < 0, 0 ,0>

  The potential function f so that  ∇f=F

  f(x,y,z) = -3/2x^{2} -y^{2}+z

  Then F is conservative

3. Curl F = <0 ,0, 10+3xsin(y) - (-cos(y))>

              = <0 ,0 , 10 +3xsin(y) + cos(y)<

 How the field's divergence is not zero the vector field is not conservative

4. Curl F = <0, 0, 0>  

  The potential function f so that  ∇f=F

  f(x,y,z) = x^{3}+(5/3)y^{3}+(5/3)z^{3}    

   Then F is conservative

5 0
3 years ago
Jovani wanted to switch gyms. Fitness 19 charges a one time $39 cleaning fee and $17 per
Alexxx [7]

Answer:

Hi there!

Your answer is:

It will take 2.2 months for both gyms to be the same amount of money!

Step-by-step explanation:

Fitness 19:

39+ 17x

Anytime Fitness:

50+ 12x

Put them equal to each other:

39+17x = 50+12x

-12x

39+5x = 50

-39

5x = 11

/5

x= 2.2 months

39+17(2.2)= 76.4$

50+12(2.2)= 76.4$

Hope this helps!

8 0
3 years ago
Read 2 more answers
Can someone help me out?
Andreyy89

The answer would be around 4.5 or 4.6

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the length of VW?
    8·2 answers
  • Through (1,-6) and perpendicular to y=-3x+3
    11·1 answer
  • 25 points America explain
    11·1 answer
  • Describe a method for writing an exponential equation given a graph
    14·1 answer
  • Marianne chose an integer. She subtracted 7 then multiplied the difference by -5. The product was 60. What integer did she chose
    7·1 answer
  • What is log 1/36 divided by log 6
    5·1 answer
  • Exercise Plus charges a yearly fee of $75 plus $10 a month. Gym and Swim charges a yearly fee of $50 plus $15 a month. When , if
    8·1 answer
  • -0.6 into a fraction
    5·1 answer
  • Question 3<br> Written response<br> Help please
    11·2 answers
  • Simplify expression(5x^2-2x+3)+(-6x^2+4x-7)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!