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Paha777 [63]
2 years ago
10

Select the correct answer. What is the domain of the function f(x) = 2x + 5?

Mathematics
1 answer:
lawyer [7]2 years ago
4 0

The domain of the function is the complete set of possible values of the independent variable. (−∞,∞),{x|x ∈ R}

<h3>What is the domain function?</h3>

The domain is the set of values for which the given function is defined.

The given function;

f(x) = 2x + 5

The domain of the given function is all real numbers except where the function is undefined.

In this case, there is no real number that makes the function undefined.

The domain of the function is the complete set of possible values of the independent variable.

(−∞,∞),{x|x ∈ R}

The range is the set of all valid y values.

Learn more about appropriate domain here:

brainly.com/question/20073127

#SPJ1

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The length of a rectangle is 2x+1 and the width is 4x-3. Write an expression to calculate the area. (Note: Area= length • width)
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There are 40 people at Drake’s sweet sixteen party. Drake’s only rule is that everyone in the party must meet and shake each oth
Nonamiya [84]

Answer:

Given:

Total Number of people at the Drake’s sweet sixteen party = 40

Everyone in the party must meet and shake each other’s hand

1) How many handshakes are there altogether?

There was total of 780 handshakes in the party.

2. How did you get your solution:

If you have 7 people, person seven shakes six other hands, person  

six shakes five other hands, person five shakes fours other hands,  

person  ,four shakes three other hands, person three shakes two other hands,  and person two shakes one hand.  Another way to see it is,

Person 7  +person 6 + person 5 + person 4 +person 3 + person 2 +  person 1

= 6+5+ 4+3+2+1

=>21

so similairly in case of 40 persons

= 39+38+37+36+37+36+35+34 .................+3+2+1

=>780

3) What’s the quickest way to figure this out if Drake invited 1,000 people?

People at Party               Number of Handshakes

     2                                                     1

     3                              1 + 2              = 3

     4                            1 + 2 + 3          = 6

     5                          1 + 2 + 3 + 4      = 10

     6                        1 + 2 + 3 + 4 + 5  = 15

     .

     .

     .                                          

     n                              1 + 2 + ...+ (n-1) =  --------     \frac{n(n-1)}{2}

Hence for n persons the number of handshakes will be  \frac{n(n-1)}{2}

So for 1000 persons the number of handshakes will be

=>\frac{1000(1000-1)}{2}

=>\frac{1000(999)}{2}

=>\frac{999000}{2}

=>499,500

                                                     

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