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3 years ago

What is the simplified form of this equation f(x)=x2 + 4x + 10

Mathematics

2 answers:

xz_007 [3.2K]3 years ago

7 0

Answer:
(D). F(x) = x 2 - 4x + 10

Explanation

seropon [69]3 years ago

4 0

Answer:

6x + 10

Step-by-step explanation:

2+4=6

and 10 doesn't have an x next to it so it doesn't count

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Step-by-step explanation:

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4 years ago

Please help me answer this question

ratelena [41]

By the definition of the hyperbolic function tanh x, we have proven that $\frac{1-tanh \ x}{1 + tanh \ x}=e^{-2x}$

<h3>Hyperbolic functions & Proof of identities </h3>

By definition

$tanh \ x=\frac{e^{x} -e^{-x}}{e^{x} +e^{-x}}$

Then,

$\frac{1-tanh \ x}{1 + tanh \ x}=\frac{1-\frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} }{1+ \frac{e^{x} -e^{-x}}{e^{x} +e^{-x}} }$

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$=\frac{e^{x} +e^{-x}-(e^{x} -e^{-x})}{e^{x} +e^{-x}} \div (\frac{e^{x} +e^{-x}+e^{x} -e^{-x}}{e^{x} +e^{-x}} })$

$=\frac{e^{x} +e^{-x}-e^{x} +e^{-x}}{e^{x} +e^{-x}} \div \frac{e^{x} +e^{-x}+e^{x} -e^{-x}}{e^{x} +e^{-x}} }$

$=\frac{e^{-x}+e^{-x}}{e^{x} +e^{-x}} \div \frac{e^{x} +e^{x} }{e^{x} +e^{-x}} }$

$=\frac{2e^{-x}}{e^{x} +e^{-x}} \div \frac{2e^{x} }{e^{x} +e^{-x}} }$

$=\frac{2e^{-x}}{e^{x} +e^{-x}} \times \frac{e^{x} +e^{-x}}{2e^{x}}$

$=\frac{2e^{-x}}{1} \times \frac{1}{2e^{x}}$

$=\frac{2e^{-x}}{2e^{x}}$

$=\frac{e^{-x}}{e^{x}}$
$=e^{-x} \times \frac{1}{e^{x}}$

$= e^{-x} \times e^{-x}$

$= e^{-x+-x}$

$= e^{-x-x}$

$= e^{-2x}$

Hence, we have proven that $\frac{1-tanh \ x}{1 + tanh \ x}=e^{-2x}$

Learn more on Proof of Identities here: brainly.com/question/2561079

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6 0

2 years ago

A city has two water towers. One tower holds 7.35 x 105 gallons of water and the other tower holds 9.78 x 105 gallons of water.

Ierofanga [76]

I'm pretty sure the answer is A because you're multiplying each number by 105 and A is the only answer with 105

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4 years ago

What is....<br><br> 4k^2-2k+4=-4 <br> Factored?

Delvig [45]

Answer:

4k^2-2k+4=-4 factor = 2(2k² -k +2) = -4

Step-by-step explanation:

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4 years ago

P/o/i/t/s/f/r/e/e/;)<br> denada

Bogdan [553]

Thanks! Have a good summer

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3 years ago

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What is the simplified form of this equation f(x)=x2 + 4x + 10​

What is the simplified form of this equation f(x)=x2 + 4x + 10