Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

$\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}$

Now, differentiate P with respect to x, and we get,

$\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}$

Solving the above equation to zero, we get,

$\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}$

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

$\begin{aligned}y&=108-36\\y&=72\end{aligned}$

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

#SPJ4

4 0

1 year ago

In science class, Liz learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen eac

klio [65]

Answer: The answer is 8000 pounds, or 4 tons

Step-by-step explanation:

This is true because each tree makes about 250 pounds of oxygen. She counted 32 so.....

(32)(250)=8000

then convert 8000 pounds to tons and you get 4 tons

5 0

3 years ago

Pl help it’s for a grade

allsm [11]

Answer:

(^6√x^5) (√y)

(The 6 belongs in the left on top of the square root btw)

For x the 6 moves to the front of the square root while the 5 becomes the power of x.

For y, the power to the 1/2 is the same as a square root.

5 0

3 years ago

The school you want to go to has an acceptance rate of 15%15%. That means that 15%15% of the students who apply to the school ge

Mice21 [21]

Let, the number of students who applied for school = x
Then, it would be: x * 15% = 1800
x * 0.15 = 1800
x = 1800 / 0.15
x = 12,000

In short, Your Answer would be 12,000 students applied for that

Hope this helps!

3 0

3 years ago