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kompoz [17]
3 years ago
5

Suppose the number 1155 is written as the product of three positive integers. What is the smallest possible value of the sum of

those three integers?
Mathematics
2 answers:
ipn [44]3 years ago
7 0
3. the equation I used is: 3×5×77
alisha [4.7K]3 years ago
3 0
My first thought when I read this problem was "11 is a factor of 1155."  Indeed,
1155 equals 11 times 105.  Next, determine factors of 105.  I see that 5 is a divisor of both 10 and 5, so that 105 equals 5 times 21.

Adding together these three integers:  11+5+21 = 37

But wait!  21 can be factored (e. g., into 7 times 3).

You'll need to identify all of the several sets of 3 positive integers each and find the sum of each set.  Only after you've done this can you choose the set whose sum of the three integers is the smallest.  Please show your work, so that others can give you feedback on it.
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3 years ago
What is the Domain and Range of the function f(x)<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx-7%7D%20%2B9" id="TexFormula1" tit
omeli [17]

For the given function, the domain is D : { x ≥ 7} and the range is R: { y ≥ 9}

<h3>How to get the domain and range?</h3>

Here we have a square root, remember that the argument of the square root must be equal or larger than zero, so the domain is such that:

x - 7 ≥ 0.

Solving for x we get:

x ≥ 0 + 7

Then the domain is:

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To get the range, we evaluate in the minimum of the domain:

f(7) = √(7 - 7) + 9 = 9

Then the range is the set of all values larger than 9, because the function is increasing.

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If you want to learn more about domain and range:

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2 years ago
The perimeter of triangle ABC is 32 find the lengths of AC and AB​
Nutka1998 [239]

The lengths of AC and AB​ are each 10.6 units.

<u>Step-by-step explanation</u>:

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  • Perimeter = 3a
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⇒ 32 = 3a

⇒ a = 32/3

⇒ a = 10.6

6 0
3 years ago
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