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Eva8 [605]
3 years ago
10

Given the function f(x) = 2x + 5, what would the input be with an output of 21

Mathematics
2 answers:
Pepsi [2]3 years ago
8 0

<u>Given</u><u> </u><u>:</u><u>-</u>

  • f(x) = 2x + 5

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • The input when output is 21 .

<u>Answer </u><u>:</u><u>-</u>

The given function is ,

  • f(x) = 2x + 5

Substitute f(x) = 21 ,

  • 21 = 2x + 5
  • 21 - 5 = 2x
  • 16 = 2x
  • 16/2=x
  • x = 8
REY [17]3 years ago
6 0

Answer:

input = 8

Step-by-step explanation:

x is the input and f(x) is the output

Given f(x) = 2x + 5 and f(x) = 21 , then equating gives

2x + 5 = 21 ( subtract 5 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

That is the input is 8

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nignag [31]

Answer:

We can now write this is a function of time in years leading to

f

(

x

)

=

200

(

.94

)

x

f

(

5

)

≈

147

Explanation:

Firs you should consider that if its exponential then it has some form similar to

3

x

. Where we have some known part (3) and the unknown part (

x

) that we are trying to find out. Mathematically we can say it has the form

a

x

. In this case we know what the

a

is and that is the entire population that was given to us. We know over time it will change but why are we even using the exponential model.

Well it turns out that if you multiply some value over and over again it has this form. Example we multiply

2

⋅

2

⋅

2

⋅

2

=

2

4

. So if something doubled over time then this is what would happen.

Now the problem is that it will continue to decrease at the same rate leading to

a

⋅

(

.94

)

because only

94

%

of the population remains each year. After two years

a

⋅

(

.94

)

⋅

(

.94

)

. We can now write this is a function of time in years leading to

f

(

x

)

=

200

⋅

(

.94

)

x

f

(

5

)

≈

147

Step-by-step explanation:

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2 years ago
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gayaneshka [121]

Answer:

- 19 = x - 19 \\ x =  - 19 + 19 \\ x = 0 \\ thank \: you

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3 years ago
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