2 years ago

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]2 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 answer this question for me

Paul [167]

I GOT THIS ANSWER

IS THIS RIGHT?

8 0

3 years ago

Classify the number 1/2 into as many categories as it belongs: Natural number, whole number, integer, or rational number.

Pachacha [2.7K]

Answer:

1/2 is a rational number.

Step-by-step explanation:

A rational number can be expressed as a ratio of two numbers. 1/2 is a ratio.

It is also a real number, however you do not list that as a category, so from what you listed, it is only a rational number.

6 0

2 years ago

I dont understand???????????

love history [14]

Answer:

Step-by-step explanation:

We can obtain that the dimensions of the rectangle are 7 by 5.

Since A = lw, the total area is 35.

5 0

2 years ago

Hello, please help me with this as well, but show me example how you worked it out?<br><br> 33 + - 5

ANTONII [103]

Answer: 28

Step-by-step explanation: A positive (+) and a negative (-) together make it a negative (-) which takes the positive away (+) making it 33 - 5 = 28

4 0

2 years ago

Read 2 more answers

144 is what percent of 260

Aleks04 [339]

144 divided by 260 is 60%

3 0

2 years ago