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densk [106]
2 years ago
13

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 <br> 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)]}
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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:

<h2><u><em>18 tons </em></u></h2>

Step-by-step explanation:

<em>To convert a pound measurement to a ton measurement, divide the weight by the conversion ratio.</em>

<em />

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

<em />

<em>tons = pounds ÷ 2,000</em>

<em>The weight in tons is equal to the pounds divided by 2,000.</em>

<em />

<em>And you could multiply 2,000 by 18 and get the answer 36,000</em>

<em />

<em />

Hope This Helps you!

Have an Amazing day!

<h2><u>If you have any questions please ask! :]</u></h2>
8 0
2 years ago
Read 2 more answers
SHOW YOUR WORK<br><br> Can someone help?<br> (no files or links)<br> (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
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