90-30 divided 6+2 x 5 is equal to: a)95 b) 94 c)75 d)91

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

3 years ago

What is theplace value of the 7 in 775,823,159?

Leokris [45]

Which seven?
070,000,000 would be in the 10 millions
700,000,000 would be in the 100 millions

4 0

3 years ago

Neisha ate 1/3 of her birthday cake. If her 3 younger siblings divided the rest equally, what fraction of the cake did they each

Trava [24]

Answer:

2/9 each

Step-by-step explanation:

2/3 would be left from neisha, therefore 2/3 divided by three = 2/9.

7 0

3 years ago

Find the value of x please!! ASAP

cricket20 [7]

Answer:

x = 10

Step-by-step explanation:

By looking at the picture, I can tell the angle of the 3x is also 30 degrees.

This means 3x = 30.

When you solve for x by dividing each side by 3, you result with the answer of x = 10.

To check you work, plug in 10 for x to recieve 30 degrees again.

3 0

3 years ago

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h. A=h ( a+b ) 2 Solve for b.

Lelu [443]

I believe the right equation for determining the area of a trapezoid is as below,
A = h(a + b)/2

To determine the expression for b which is the length of one of its bases, we multiply the equation by 2.

2A = h(a + b)

Then, divide both sides of the equation by h,

2A/h = a + b

Then, subtract a from both sides of the equation,
2A/h - a = b

Lastly, interchange the sides of the equation to reveal the answer.
 
 b = 2A/h - a 

5 0

4 years ago

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