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zzz [600]
3 years ago
11

The function f(x)=12,419(1.4)^x represents the number of visitors to a website x years after itbwas launched. Each year, the num

ber of visitors is x the number of years before
Mathematics
2 answers:
jekas [21]3 years ago
8 0
1.4x is the answer to this question
mrs_skeptik [129]3 years ago
8 0

Answer:

Each year, the number of visitors is: 1.4 x the number of years before

Step-by-step explanation:

The function that represents the number of visitors to a website x years after itbwas launched is:

                f(x)=12419(1.4)^x

where 12419 is the number of visitors initially.

Also, we see that the number of visitors are increasing by a constant rate i.e. 1.4 i.e.  it is 1.4 times the number of years before.

        Hence, the answer is:

                        1.4

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3 years ago
identify the graph of 9x^2-25y^2=225 for t(0 5) and write an equation of the translated or rotated graph in general form
tamaranim1 [39]

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The required equation is:

9 {x}^{2}  - 25{y}^{2}  + 250y  - 85 0=0

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The given equation is

9 {x}^{2}  - 25 {y}^{2}  = 225

Dividing through by 225 we obtain;

\frac{ {x}^{2} }{25}  -  \frac{ {y}^{2} }{9}  = 1

This is a hyperbola that has it's centre at the origin.

If this hyperbola is translated so that its center is now at (0,5).

Then its equation becomes:

\frac{ {(x - 0)}^{2} }{25}  -  \frac{ {(y - 5)}^{2} }{9}  = 1

We multiply through by 225 to get;

9 {x}^{2}  - 25( {y - 5})^{2}  = 225

We now expand to get;

9 {x}^{2}  - 25( {y}^{2} - 10y + 25 )= 225

9 {x}^{2}  - 25{y}^{2}  + 250y  - 6 25 = 225

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