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Masteriza [31]
3 years ago
10

For the function, f(x)=2x+1, which outputs match the inputs​

Mathematics
1 answer:
Ghella [55]3 years ago
6 0

See the explanation

<h2>Explanation:</h2>

Here you haven't provided any options, so I'll give you some inputs and outputs. Remember that the input of a function is called the domain, that is, all the x-values for which the function is defined while the output is called the range, that are all the y-values for which the functions is defined. Therefore, this table shows some inputs and outputs for the function:

Input (x)           Output f(x)

-3                            -5

-2                            -3

-1                             -1

0                              1

1                               3

2                              5

3                              7

For finding each output, just replace x by the corresponding value and you'll get f(x). For instance:

For \ x=0: \\ \\  f(x=0)=2(0)+1=1

<h2>Learn more:</h2>

Linear functions: brainly.com/question/12903636

#LearnWithBrainly

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4 0
3 years ago
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marysya [2.9K]

Answer:

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Then just combine like terms

-2x^2+12x-7

Also ^ followed by the number is the exponent

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Which explicit formula generates the infinite sequence 2, 9, 28, 65, 126, ...?
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1. The terms of a sequence are denoted by u_{1} ,  u_{2}, u_{3}, u_{4}, u_{5},...

2.
 u_{1}  = 2  = 2*1&#10;&#10;  u_{2} = 9 = 3*3&#10; &#10;u_{3} = 28 = 4*7&#10;&#10;u_{4} = 65 = 5*13&#10;&#10;u_{5} = 126 = 6*21&#10;

3. so it is clear that the first columns add each time by one, and the second column add by 2, then by 4, by 6, by 8 and so on.

4. consider only the second column and how we get the terms, which we will call t_{1} , t_{2}, t_{3}, t_{4}, t_{5},...:

t_{1}=1&#10;&#10;t_{2}=1+2&#10;&#10;t_{3}=1+2+4=1+2+2*2&#10;&#10;t_{4}=1+2+4+6=1+2+2*2+2*3=1+2(1+2+3)

t_{5}=1+2+2*2+2*3+2*4=1+2(1+2+3+4)

5.
So

u_{n}=(n+1)(1+2{1+2+3+....(n-1)})&#10;        &#10;         =(n+1)(1+2 [(n-1)n/2])&#10;&#10;         = (n+1)(1+(n-1)n)&#10;       &#10;         =(n+1)( n^{2}-n+1 )&#10;

6. We can check: u_{3} = (3+1)( 3^{2}-3+1 )=4*(9-3+1)=4*7=28

7. Remark: Gauss addition formula: 1+2+3+....+n=n(n+1)/2


6 0
4 years ago
Read 2 more answers
Determine which numbers the equations can be multiplied by to create opposite terms of the x-variable. 1 2 x − 1 4 y = −3 − 1 3
Julli [10]

In the elimination method one variable is eliminated from the system of equation to find the value of other.

To create the opposite terms of the <em>x</em><em>-</em>variable-

  • First equation be multiplied by the number 12.
  • Second equation be multiplied by the number 13.

<h3>What is elimination method?</h3>

To solve the system of equation and find the value of the variables, the elimination method is used.

In this method one variable is eliminated from the system of equation to find the value of other.

Given information-

The system of equation given in the problem is,

12x-14y=-3         ......1

Let the above equation as equation 1.

The second equation given in the problem is,

-13x+23y=5             ......2

Let the above equation as equation 2.

To eliminate the <em>x</em> term, make the coefficient of <em>x</em> of both the equation equal.

It can be done by multiply the coefficient of <em>x</em> term of first equation to second equation and coefficient of <em>x </em>term of second equation to first equation.

As the coefficient of <em>x</em> of the equation 1 is 12.  Thus multiply second equation with 12. Thus,

12\times(-13x+23y)=12\times5

-156x+276y=60                     ........3

Multiply  equation 1 with -13 to make the coefficient of <em>x</em> opposite. Thus,

13\times(12x-14y)=13\times(-3)\\156x-182y=-39         .......4

Hence, to create the opposite terms of the <em>x</em><em>-</em>variable-

  • First equation be multiplied by the number 12.
  • Second equation be multiplied by the number 13.

Learn more about the elimination method here;

brainly.com/question/7013345

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