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Marizza181 [45]
2 years ago
10

-3(5x-10)=[?]x + [ ]

Mathematics
1 answer:
Setler [38]2 years ago
7 0

Answer:

-15x + 30

Step-by-step explanation:

-3(5x -10)

-15x + 30

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Write the number 0.0049 in scientific notation.
jeka57 [31]

Answer:

4.9000

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3 years ago
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

#SPJ4

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1 year ago
A flag measures 90<br> feet by 60 feet. What is the perimeter of<br> this flag?
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300 feet you add 90 twice which gets you 180 and then add 60 twice which gets you 120 and 120 plus 180 is 300
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gogolik [260]
False 

because tan^2 45 =  1^2 = 1
and sec^2 x =  1/ cos^2 45  =  (sqrt2)^2 = 2

so the sum = 3
3 0
3 years ago
Read 2 more answers
What is 680.4•453.6???
Schach [20]

Answer:

308629.44

Step-by-step explanation:

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3 years ago
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