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2 years ago

the function f(x)=1/6{2/5}x is reflected across the y axis to create the function g(x). which ordered pair is on g(x)

2 answers:

8 0

When you reflect a function across the y-axis the new function is obtained by changing x for (-x)

So, when you reflect y = (1/6) [2.5]^(x) across the y-axis you create the function g(x) = (1/6) [2.5] ^(-x)

Now, to obtain the ordered pairs, you just give a value to x and calculate g(x).

This table shows some ordered pairs:

x    g(x) = (1/6) * (2.5) ^ (-x)

-10 (1/6) (2.5)^ (10) = 1,589.457

-1     (1/6) (2.5)^(1) = 0.416667

0    (1/6) (2.5)^(0) = 1/6 = 0.166667

1    (1/6) (2.5)^(-1) = 0.066667

10 (1/6)(2.5)^(-10) = 0.000017476

So, you see that to find each pair you give a value to x and then find the image replacing x in the function g(x) = (1/6)*[2.5](^-x).

vladimir1956 [14]2 years ago

6 0

Answer:

THERES NO FEAR.... THE ANSWER IS HERE!!!!

Step-by-step explanation:

ITS A :) <3

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When temperature is zero degree Celsius, the Fahrenheit temperature is 32. When the Celsius temperature is 100, the correspondin

7nadin3 [17]

Answer:

$\\ y = 1.8(x) + 32$ or $\\ y = \frac{9}{5}(x) + 32$

or equivalently:

$\\ F = 1.8(C) + 32$ or $\\ F = \frac{9}{5}(C) + 32$

Step-by-step explanation:

To express the Fahrenheit temperature as a linear function of the Celsius temperature, F(c), we can proceed as follows.

We can use here the two-point form equation of a line:

$\\ y-y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x-x_1)$ [1]

We are asked to express the Fahrenheit temperature as a function of Celsius temperature, so the independent variable, in this case, is x (Celsius temperature) and the dependent variable is y (Fahrenheit temperature).

When temperature is zero degree Celsius ( $\\x_1 = 0$ ), the Fahrenheit temperature is 32 ( $\\y_1 = 32$ ).

When the Celsius temperature is 100 ( $\\x_2 = 100$ ), the corresponding Fahrenheit temperature is 212 ( $\\y_2 = 212$ ).

Then, using [1], we have:

$\\ y-32 = \frac{212 - 32}{100 - 0}(x-0)$

$\\ y-32 = \frac{180}{100}(x)$

$\\ y-32 = 1.8(x)$ .

It could be also be written as:

$\\ y-32 = \frac{18}{10}(x)$ = $\\ y-32 = \frac{9}{5}(x)$ , as it commonly appears in books.

Then the Fahrenheit temperature express as a linear function of the Celsius temperature, F(c) is ( solving the equation for y ) :

$\\ y = 1.8(x) + 32$ or $\\ y = \frac{9}{5}(x) + 32$ .

Or equivalently:

$\\ F = 1.8(C) + 32$ or $\\ F = \frac{9}{5}(C) + 32$

We can check this using the given values from the question:

For 0 Celsius degrees, the Fahrenheit temperature is:

$\\ y = 1.8(0) + 32$ = 32 Fahrenheit degrees.

For 100 Celsius degrees, the Fahrenheit temperature is:

$\\ y = 1.8(100) + 32 = 180 + 32$ = 212 Fahrenheit degrees.

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