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3 years ago

Which sign makes the statement true 7 ? 7 2/5

Mathematics

1 answer:

kipiarov [429]3 years ago

7 0

The answer would be < because that’s greater than

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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 PLEASE HELP 50 POINTS

Crank

Answer:

The claim is " oreos are the most popular cookie at my house". The evidence is because you said that " oreos run out twice as fast as snickerdoodles." The reasoning is because my family eats twice as many oreos than snickerdoodles.

8 0

3 years ago

Write a proportion for 56% of a number is 244

Misha Larkins [42]

$\frac{56}{100} = \frac{244}{x}$ So, You cross multiply and get 56x=244(100). Simplify and you get 56x=24400. Divide each side by 56 and you get 435.71. 56% of about 435.71 is 244.

6 0

3 years ago

Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 2?

Genrish500 [490]

Answer: The correct answer is x^2=-4(y-1)

Step-by-step explanation:

Just took the test

7 0

3 years ago

30 points need help. WILL MARK BRAINLIEST. Identify the initial amount a and the rate of growth r (as a percent) of the exponent

weqwewe [10]

Answer:

A=6.72

R=2%

g(5)=215.04

Step-by-step explanation:

explanation is the picture.

HOPE THIS HELPED!!! HAVE A GREAT DAY!!!

4 0

3 years ago