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2 years ago

Juan's family and Ethan's family go to a food stand.

Mathematics

1 answer:

Rasek [7]2 years ago

3 0

Answer:

1 hotdog is $3.5.

1 drink is $2.

Step-by-step explanation:

18.50= 3x+4y(times 5)

25.50=5x+4y(times -3)

92.5=15x+20x

-76.5=-15x+-12y

16=-8y

2=y

18.50=3x+4(2)

10.50=3x+8

10.50=3x

3.5=x

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Find the domain of the function y = 3 tan(23x)

solmaris [256]

Answer:

$\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

In other words, the $x$ in $f(x) = 3\, \tan(23\, x)$ could be any real number as long as $x \ne \displaystyle \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)$ for all integer $k$ (including negative integers.)

Step-by-step explanation:

The tangent function $y = \tan(x)$ has a real value for real inputs $x$ as long as the input $x \ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

Hence, the domain of the original tangent function is $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

On the other hand, in the function $f(x) = 3\, \tan(23\, x)$ , the input to the tangent function is replaced with $(23\, x)$ .

The transformed tangent function $\tan(23\, x)$ would have a real value as long as its input $(23\, x)$ ensures that $23\, x\ne \displaystyle k\, \pi + \frac{\pi}{2}$ for all integer $k$ .

In other words, $\tan(23\, x)$ would have a real value as long as $x\ne \displaystyle \frac{1}{23} \, \left(k\, \pi + \frac{\pi}{2}\right)$ .

Accordingly, the domain of $f(x) = 3\, \tan(23\, x)$ would be $\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) \; \right| k \in \mathbb{Z} \right\rbrace$ .

4 0

2 years ago

Please help me asap :) thank you

Mashutka [201]

Answer:

1 1/2 points

Step-by-step explanation:

3 0

3 years ago

Simplify 1+sinx/cosx+cosx/1+sinx

Dmitry [639]

$\frac{1 + sin(x)}{cos(x)} + \frac{cos(x)}{1 + sin(x)}$
$\frac{[1 + sin(x)][1 +sin(x)]}{cos(x)[1 + sin(x)]} + \frac{cos(x)[cos(x)]}{cos(x)[1 + sin(x)]}$
$\frac{1 + 2sin(x) + sin^{2}(x)}{cos(x)[1 + sin(x)]} + \frac{cos^{2}(x)}{cos(x)[1 + sin(x)]}$
$\frac{1 + 2sin(x) + sin^{2}(x) + cos^{2}(x)}{cos(x)[1 + sin(x)]}$
$\frac{1 + 2sin(x) + 1}{cos(x)[1 + sin(x)]}$
$\frac{1 + 1 + 2sin(x)}{cos(x)[1 + sin(x)]}$
$\frac{2 + 2sin(x)}{cos(x)[1 + sin(x)]}$
$\frac{2[1 + sin(x)]}{cos(x)[1 + sin(x)]}$
$\frac{2}{cos(x)}$
$2sec(x)$

6 0

3 years ago

How many tons are equal to 36,000 pounds?

patriot [66]

Hello There! I'll be glad to help you! :0

Question:

How many tons are equal to 36,000 pounds?

Answer:

Step-by-step explanation:

To convert a pound measurement to a ton measurement, divide the weight by the conversion ratio.

Since one ton is equal to 2,000 pounds, you can use this simple formula to convert:

tons = pounds ÷ 2,000

The weight in tons is equal to the pounds divided by 2,000.

And you could multiply 2,000 by 18 and get the answer 36,000

Hope This Helps you!

Have an Amazing day!

<h2>If you have any questions please ask! :]</h2>

8 0

2 years ago

Read 2 more answers

SHOW YOUR WORK Can someone help? (no files or links) (Will give brainliest)

DanielleElmas [232]

2 1/3
You would do 6 3/4- 1 3/4=5
5-1 1/3= 2 2/3

7 0

2 years ago