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Tems11 [23]
3 years ago
13

Given f (x) = x + 4 and g (x) = 12x - 6 , what is f (3) + g (x) ?

Mathematics
2 answers:
RoseWind [281]3 years ago
4 0
11 good seeeeeeexb. hj
ziro4ka [17]3 years ago
4 0

Answer:

d.) 11 :) you welcome


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8 for 6 is the answer I think
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.<br> Evaluate the series 1 + 0.1 + 0.01 + . . .
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We can employ a simple repeated decimal trick:

x=1.111\ldots

0.1x=0.111\ldots

\implies x-0.1x=1\implies0.9x=1\implies x=\dfrac1{0.9}=\dfrac{10}9

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Alternatively, we can compute the partial sum of the series.

\displaystyle S_n=\sum_{k=0}^n\dfrac1{10^k}

S_n=1+0.1+0.01+\cdots+\dfrac1{10^n}

0.1S_n=0.1+0.01+0.001+\cdots+\dfrac1{10^{n+1}}

\implies S_n-0.1S_n=0.9S_n=1-\dfrac1{10^{n+1}}

\implies S_n=\dfrac{10}9-\dfrac9{10^n}

As n\to\infty, the second term vanishes and we're left with \dfrac{10}9. Notice that this is really just a more formal version of the earlier trick.

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2 years ago
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Find the second derivative, do not have to simplify
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f'(x)=\left\{[\cos(\pi x)]^{-1}\right\}'=-[\cos(\pi x)]^{-2}\cdot[-\sin(\pi x)]\cdot\pi\\\\=\dfrac{\pi\sin(\pi x)}{[\cos(\pi x)]^2}=\pi\dfrac{\sin(\pi x)}{\cos(\pi x)}\cdot\dfrac{1}{\cos(\pi x)}\\\\=\pi\tan(\pi x)\sec(\pi x)

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HELP!<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx-1%7D-x%3D-7" id="TexFormula1" title="\sqrt{x-1}-x=-7" alt="\sqrt{x-1}-x=
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  • \sqrt{x - 1}  =x  - 7

  • x - 1 = (x - 7) {}^{2}

  • x - 1 =  {x}^{2}  + 49 - 14x

  • {x}^{2}  - 14x + 49 - x + 1 = 0

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HELP URGENT‼️‼️
olchik [2.2K]

Answer:

The answer is 3 cups of orange juice.

Step-by-step explanation:

So basically it says every 1/4 cup of water, you need 3/4 cups of orange juice. Now, 1 cup of water is the same thing as 4/4 cups of water. To get to 4/4 from 1/4, you need to multiply 1/4 by 4. Because of that, you need to multiply 3/4 by 4 as well. 3/4 * 4 is 3, and that's how you get your answer.

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