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Brums [2.3K]
3 years ago
9

What is the solution of the equation 2/3 + 5x/3= 9 ?

Mathematics
1 answer:
galben [10]3 years ago
6 0

Answer:

x=5

Step-by-step explanation:

multipy both sides of the equation by 3 to remove the denominator becomes

2+5x=27

subtract 2 from both sides since it's positive

5x=25

divide 5 from both sides

x=5

Please mark Brainlist!!!

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Answer:

29

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find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximu
topjm [15]

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

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

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4 0
1 year ago
Two boys divided $3.36 so that one boy received 12 cents less than three times as much as the other. How was the money divided?
Fed [463]
Let's first convert that amount of money into cents, which makes 336 cents. Then, let's denote the amount of money one of the boys has with x. The other boy has got 3x-12 amount of money. We can construct an equation. 3x-12+x=336. Solving it we find that x=87 cents or $ 0.87 and the other boy holds $2.49 amount of money.
7 0
3 years ago
Hey can you please help me posted picture of question
nirvana33 [79]
(8x^2+2x+8)+(3x^3+7x+4)=
8x^2+2x+8+3x^3+7x+4
3x^3+8x^2+(2+7)x+12=
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Answer: Option A. 3x^3+8x^2+9x+12
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