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ycow [4]
3 years ago
14

What is 2.50x + 4x = 39

Mathematics
2 answers:
Artemon [7]3 years ago
4 0

2.5x+4x=39\\6.5x=39\\x=39/6.5\\x=6

Norma-Jean [14]3 years ago
3 0

2.50=2.5\\\\2.5x+4x=39\\\\6.5x=39\qquad\text{divide both sides by 6.5}\\\\x=\dfrac{39}{6.5}\\\\x=\dfrac{390}{65}\\\\\boxed{x=6}

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2 years ago
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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.

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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).

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gtnhenbr [62]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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