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Roman55 [17]
2 years ago
7

Among all pairs of numbers with a sum of 105 , find the pair whose product is maximum. Write your answers as fractions reduced t

o lowest terms.
Mathematics
1 answer:
Bond [772]2 years ago
8 0

Answer: Hence Pair( x, y) = [ 105/2, 105/2]

Step-by-step explanation:

Given that;

Among all pairs of numbers with a sum of 105;

the pair whose product is maximum = ?

so let pairs of numbers with a sum of 105 be x and y respectively

x + y = 105

let y = 105 - x

now

product = xy =  x( 105 - x ) = 105x - x²

now

p(x) = 105x - x²

for maximum value of p

dp/dx =0

⇒ dp/dx = 105 - 2x = 0

2x = 105

x = 105/2

y + x = 105

y = 105 - x

y = 105 - 105/2 = 105/2

Hence Pair( x, y) = [ 105/2, 105/2]

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Please help me first answer gets brainliest please dont play around
Crazy boy [7]

Answer:

8b- 13 6/7

Step-by-step explanation:

A product of 8 and b just means 8 x b or 8b.

13 6/7 less than that product means subtraction.

Therefore, it would be 8b - 13\frac{6}{7}

6 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP
Igoryamba

Answer:

∠1 - 40°

Step-by-step explanation:

∠1 - 40°

b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.

∠2 - 140°

b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.

∠3 - 40°

b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.

∠4 -

b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.

∠5 - 35°

b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.

~~

I hope that helps you out!!

5 0
3 years ago
can someone help me with this question?kinda need help. A table top is made in the shape of a circle with a diameter of 12 inche
Vitek1552 [10]
Circumference is equal to pi•d soo...

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Therefore the circumference is approximately 37.7 inches.
4 0
3 years ago
Read 2 more answers
Solve for x: (4x + 15) = 24
Goshia [24]

Answer:

x=9/4

Step-by-step explanation:

we have:

(4x + 15) = 24

4x=24-15

4x=9

finally: x=9/4

3 0
3 years ago
What is the solution to the linear equation 4b + 6 = 2 - b+ 4
inessss [21]

Final Answer: b = 0

Steps/Reasons/Explanation:

Question: What is the solution to the linear equation 4b + 6 = 2 - b + 4?

<u>Step 1</u>: Simplify 2 - b + 4 to 6 - b.

4b + 6 = 6 - b

<u>Step 2</u>: Cancel 6 on both sides.

4b = -b

<u>Step 3</u>: Subtract -b from both sides.

4b + b = 0

<u>Step 4</u>: Simplify 4b + b to 5b.

5b = 0

<u>Step 5</u>: Divide both sides by 5.

b = 0

~I hope I helped you :)~

5 0
3 years ago
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