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2 years ago

How would I solve this?

Mathematics

1 answer:

Taya2010 [7]2 years ago

7 0

All you have to do is insert whatever they give you into <em>x. </em>So for example they give you f(2) all you do is is insert the two where x is.

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The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which order

Gekata [30.6K]

The ordered pair (-3 , $\frac{4}{375}$ ) is on g(x) ⇒ 1st answer

Step-by-step explanation:

Let us revise the reflection across the axes

If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)

∵ $f(x)=\frac{1}{6}(\frac{2}{5})^{x}$

∵ f(x) is reflected across the y-axis to create the function g(x)

- Change the sign of x

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{-x}$

To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it

∵ The coordinates of the point are (-3 , $\frac{4}{375}$ )

∴ x = -3 and y = $\frac{4}{375}$

- Substitute x by -3 in g(x)

∵ $g(x)=\frac{1}{6}(\frac{2}{5})^{-x}$

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{-(-3)}$

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{3}$

∵ $(\frac{2}{5})^{3}=\frac{2^{3}}{5^{3}}=\frac{8}{125}$

∴ $g(x)=\frac{1}{6}(\frac{8}{125})$

∴ $g(x)=\frac{8}{750}$

- Divide up and down by 2

∴ $g(x)=\frac{4}{375}$

∵ The value of g(x) equal to the y-coordinate of the point

∴ The point (-3 , $\frac{4}{375}$ ) lies on g(x)

The ordered pair (-3 , $\frac{4}{375}$ ) is on g(x)

Learn more:

You can learn more about the reflection in brainly.com/question/5017530

#LearnwithBrainly

9 0

2 years ago

Read 2 more answers

What is the quotient of -8x∧6 over 4x∧-3 ??

Allushta [10]

Answer:

$-2x^{9}$ is the quotient

Step-by-step explanation:

We have two expression $-8x^6$ and $4x^{-3}$

We need to find quotient of this expression using exponent law.

First we write as quotient form,

$\Rightarrow -\dfrac{8x^6}{4x^{-3}}$

$\Rightarrow -2x^{6-(-3)}$ $(x^m\div x^n=x^{m-n})$

$\Rightarrow -2x^{6+3}$

$\Rightarrow -2x^{9}$

Thus, $-2x^{9}$ is the quotient of $-8x^6$ and $4x^{-3}$ .

8 0

3 years ago

How do I solve x/2 plus x/5 equals 1

yanalaym [24]

Answer:yeeyyh

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is 1^∞ equal to?

Alex Ar [27]

The result is undefined.

7 0

3 years ago

I NEED HELP (I’m sooo dumb lol)

statuscvo [17]

To make a box and whisker plot, first you write down all of the numbers from least to greatest.

0, 1, 3, 4, 7, 8, 10

The median is 4, so that’s the middle line of the plot.

So now we have:
0, 1, 3, [4,] 7, 8, 10

So next we have to find the 1st and 3rd interquartiles..
0, [1,] 3, [4,] 7, [8,] 10

Those are the next 2 points you put on the plot.

Lastly, the upper and lower extremes. These are the highest and lowest numbers in the data.
[0,] 1, 3, 4, 7, 8, [10]

These are the final points on the plot.

To make the box of a box-and-whisker plot, you plot the 3 Medians of the data: 1, 4, and 8, and connect those to make a box that has a line in the middle at 4.

Next, you plot the upper and lower extremes: 0 and 10, by making “whiskers” that connect to the box. So you draw a line from the extremes to the box.

7 0

3 years ago