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goldfiish [28.3K]
3 years ago
10

Compute the missing data in the table for the following exponential function f(x)=(3)^x

Mathematics
1 answer:
slega [8]3 years ago
4 0
ANSWER

The correct answer is B.

27


EXPLANATION

The give function is
f(x) =  {3}^{x}


The missing data occurs at
x = 3

We substitute
x = 3
into the given function and simplify.


This implies that,
f(3) =  {3}^{3}


This gives us,

f(3) =  3 \times 3 \times 3


This simplifies to,

f(3) =  27
Therefore the missing data is 27
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I need algebra help.....
Lubov Fominskaja [6]

Answer:

y=4(3)^x

Step-by-step explanation:

From the table given in the question,

x            y              Difference                  Ratio

1            12                     -                             -

2           36              36-12 = 24              \frac{36}{12}=3

3          108            108-36 = 72             \frac{108}{36}=3

4          324            324-108 = 216        \frac{324}{108}=3

5          972            972-324 = 648      \frac{648}{216}=3

There is a common ratio of 3 in each successive term.

Therefore, data given in the table will represent an exponential function.

y=a(b)^x

For a point (1, 12),

12=a(b)^1

ab=12 ------(1)

For another point of the table (2,36),

36=a(b)^2

ab^2=36 --------(2)

Equation (2) divided by equation (1)

\frac{ab^2}{ab}=\frac{36}{12}

b=3

From equation (1),

3a=12

a=4

Therefore, exponential function will be,

y=4(3)^x

7 0
3 years ago
Which expression equals 6x − 5y + 2 − 8x + 3( y + 5)? A) 3x − 2y + 17 B) −3x + 2y + 17 C) −2x − 2y + 17 D) −2x − 2y − 17
inysia [295]

Answer:

<u>C) −2x − 2y + 17</u>

Step-by-step explanation (PEMDAS):

First, we do <u>3 (y + 5)</u> because of the parenthesis:

6x − 5y + 2 − 8x + 3y + 15

Since there are no exponents, multiplication ,or division, we will add and subtract. But we have to make sure we <u>combine like terms</u>. X with X's, Y with Y's and constants with constants. And ALWAYS go from left to right

6x − 5y + 2 − 8x + 3y + 15

<u>−2x</u> − 5y + 2 + 3y + 15

−2x <u>− 2y</u> + 2 + 15

<em>−2x − 2y</em><em> </em><em>+ </em><em><u>17</u></em><em>.</em>

8 0
3 years ago
There are 5 people in Edgar's family. They have 3 loaves of pumpkin bread to share equally. Edgar wants to know how much pumpkin
kvv77 [185]

Answer:

15 because 3 x  5 equals 15

Step-by-step explanation:

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The answer is B!!!!!
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