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luda_lava [24]
3 years ago
5

Question is in the pictures.

Mathematics
1 answer:
Kipish [7]3 years ago
6 0
<h3>Answer:</h3>

x/tan(x) is an even function

sec(x)/x is an odd function

<h3>Explanation:</h3>

<em>x/tan(x)</em>

For f(x) = x/tan(x), consider f(-x).

... f(-x) = -x/tan(-x)

Now, we know that tan(x) is an odd function, so tan(-x) = -tan(x). Using this, we have ...

... f(-x) = -x/(-tan(x)) = x/tan(x) = f(x)

The relation f(-x) = f(x) is characteristic of an even function, one that is symmetrical about the y-axis.

_____

<em>sec(x)/x</em>

For g(x) = sec(x)/x, consider g(-x).

... g(-x) = sec(-x)/(-x)

Now, we know that sec(x) is an even function, so sec(-x) = sec(x). Using this, we have ...

... g(-x) = sec(x)/(-x) = -sec(x)/x = -g(x)

The relation g(-x) = -g(x) is characeristic of an odd function, one that is symmetrical about the origin.

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The dance committee at Jefferson High School decides to charge students different prices for dance tickets depending on whether
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3 years ago
A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph
natima [27]

Answer:

The function is y = 40 * 2^(x/2)

The graph is in the image attached

Step-by-step explanation:

The function that models this growth is an exponencial function, that can be described with the following equation:

y = a * b^(x/n)

Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).

Then, using a = 40, r = 2 and n = 2, we have:

y = 40 * 2^(x/2)

If we plot this function, we have the graph shown in the image attached,

It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.

7 0
3 years ago
I need awnsers please
romanna [79]

y=f(x) =12\sqrt x\\\\\text{Replace x with y and then solve for y:}\\ \\~~~~~~~x = 12\sqrt y\\\\\implies \sqrt y  = \dfrac{x}{12}\\ \\\implies y = \dfrac{x^2}{144}\\\\\implies f^{-1} (x) = \dfrac{x^2}{144} \\\\\text{Hence the inverse of the function is}~ \dfrac{x^2}{144}

5 0
2 years ago
Help ASAP and thank you
Darina [25.2K]

Answer:

behebudbejehenevebehi28

4 0
3 years ago
Classify ∠1 and ∠2 using all names that apply
Vinvika [58]

Step-by-step explanation:

complementry

since the angle 1 and 2 both measures 90⁰

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