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Anna007 [38]
3 years ago
11

There are 12

Mathematics
1 answer:
notka56 [123]3 years ago
6 0

Answer:

just split them into six groups and two students on each groups

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Find a positive number for which the sum of it and its reciprocal is the smallest​ (least) possible. Let x be the number and let
Allisa [31]

Answer:

S(x) = x + \frac{1}{x} --- Objective function

Interval = \{x:x=1\}

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

x + \frac{1}{x}

Hence, the objective function is:

S(x) = x + \frac{1}{x}

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

S'(x) = 1 - \frac{1}{x^2}

Equate S'(x) to 0 in order to solve for x

0 = 1 - \frac{1}{x^2}

Subtract 1 from both sides

0 -1 = 1 -1 - \frac{1}{x^2}

-1 = - \frac{1}{x^2}

Multiply both sides by -1

1 = \frac{1}{x^2}

Cross Multiply

x^2 * 1 = 1

x^2  = 1

Take positive square root of both sides because x is positive

\sqrt{x^2} = \sqrt{1

x = 1

Representing x using interval notation, we have

Interval = \{x:x=1\}

To get the smallest sum, we substitute 1 for x in S(x) = x + \frac{1}{x}

S(1) = 1 + \frac{1}{1}

S(1) = 1 + 1

S(1) = 2

<em>Hence, the smallest sum is 2</em>

3 0
4 years ago
What is the greatest common factor of the polynomial​
timofeeve [1]

Answer:

2

Step-by-step explanation:

it is the largest polynomial that divides evenly into the other polynomials

3 0
3 years ago
Read the proof.
Eva8 [605]

Answer:

Its B kiddos

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid? “Look at the gra
IgorC [24]

Answer:  The correct answer is: [A]:

__________________________________________________

       " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

__________________________________________________

Step-by-step explanation:

__________________________________________________

Note that the "unit rate" is the term that refers to:

a "quantity" / or "quantitative value" ;  

       →  of some type of "countable units"

{e.g. "currency"  — [such as:  dollars, cents,  pounds] ; "distance/length/ width/ height" — [such as:  miles, kilometers, meters, centimeters, yards, feet, inches] ;  pieces of fruits — [such as:  number of apples;  cans of soda, number of red dresses] ;  

__________________________________________________

 per "single unit" of something — {e.g. per hour; per minute; per mile; per ounce; per hour; per dollar, per kilometer, per day, per week.

   {e.g.

             →    " 3 apples eaten  per [single] apricot eaten" ;

             →  " 46 miles per hour.

             →   " 8.3 cents per oz."  ;

             →  " 5 Liters of soda per dollar " ;

             →   " 2.3 grams per mole " ;

             →  " 4.6 mg solute / kg of solvent " ;  

             →  " 5 km / hr " ;  {that is:  " 5 km per hr " } .

             →  " 3 yds. per [single] square inch."

             →  " 35 parts per hundred" ; {that is:  " 35 percent" ; or: " 35 % " . } .

             →    " ... The cilantro is on sale for 33 cents per bundle ...} ."

   →  ... to provide a few examples.  

__________________________________________________

     On on Cartesian plane graph,  the  "x-axis" is located on the "horizontal axis" that represents the "independent variable" (or, at times, the "experimental value" — which can be manipulated — or "controlled" —or  be subjected to being "manipulated" / "controlled" / or, "selected".

   The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

   So, if the "unit rate" represents the "single unit rate" ;  we look at "x = 1 " ;  since we are "choosing" this particular "single" rate of per "single" (i.e. "1" ) ; so we do not have a choice in what "y-value" of the particular graph to select.  We can control the fact that we are "choosing" to find the "unit" rate, so we select the "independent variable" , "x = 1 " . We then examine the "corresponding y-value" that happens to exist when "x = 1 " .

 {Note that we have "no control" over what that "y-value" is ; at the: "[point which:  " x = 1 .] . "

_________________________________________________  

→  As such, that "y-value" [insert that numeric "y-value" ;                        followed by the units represented by the "y-axis" ] ;

            per  " 1 " [insert "single unit" represented by the "x-axis" ] ;

_________________________________________________    

           →   is the:  "unit rate" .

__________________________________________________

So:  

    The correct answer is:    [A]:  

__________________________________________________

     " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

__________________________________________________

Hope this answer is helpful to you!

    Best wishes to you in your academic endeavors —

            and within the "Brainly" community!

__________________________________________________

6 0
3 years ago
Read 2 more answers
You have set a goal to drink more water every day. Your water bottle holds 0.5 liters of water. In the equation below, b is the
Helen [10]
The liter is dependent and how much u drink is independent
7 0
3 years ago
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