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Sphinxa [80]
3 years ago
7

Given the sequence 12, 9, 6, 3,........ where x = 0, 1, 2......,

Mathematics
1 answer:
Nitella [24]3 years ago
4 0

Answer:

f(x) = -3x + 12

Step-by-step explanation:

The chart could be represented like this:

x             y

0            12

1             9

2            6

3            3

Suppose that f(x) = y

And substitute x values.

y = -3x + 12

"x = 0"

y = -3(0) + 12

y = 0 + 12

y = 12

"x = 3"

y = -3(3) + 12

y = -9 + 12

y = 3

From the results, it corresponds to the function.

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Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = 2^2x
Nookie1986 [14]

Answer:

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Step-by-step explanation:

The given function is f(x) = (2)^{2x} = 4^{x} ........... (1)

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3 years ago
1/(x+1) - 1/(x+2) = 1/2
katen-ka-za [31]
Please include the instructions; I assume your job is to find the value of x.

<span>1/(x+1) - 1/(x+2) = 1/2 would better be written as
   
     1            1            1
</span><span>-------- - ------------ = ----
  x+1           x+2        2

Identify the LCD.  It is (x+1)(x+2)(2).  Mult. all 3 terms of the equation by this LCD:

2(x+2) - 2(x+1) = 2(x+1)(x+2)

We can factor out the 2 from all terms:

x+2 - x - 1 = x^2 + 3x + 2

Let's move all terms from the left to the right side:

 0              = x^2 + 3x + 2 - x - 2 + x + 1

Then x^2 + 3x + 1 = 0.  This is a quadratic with a=1, b=3 and c=1.

What is x?

       -3 plus or minus sqrt( 9-4(1)(1) )        -3 plus or minus sqrt(5)
x = --------------------------------------------- = ---------------------------------
                             2                                                    2

I rather expected to obtain an integer value for x.


Why don't you give this problem a try yourself?  Suggestion:  First mult. every term by 2.  This will give you:

   2          2
------- - ------- = 1   and this may be slightly easier to work with.  Please
 x+1      x+2          give it a try:  try to find x that satisfies this equation. 
                              Important:  note that x cannot equal either -1 or -2.


</span>
8 0
3 years ago
What is 79.623 rounded to the nearest hundred??
kondaur [170]
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8 0
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What is the angle of elevation to the nearest tenth of a degree to the top of a 55ft building from 95ft away? Please help fast.
hammer [34]

Answer:

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A = arctan 55/95

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