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BigorU [14]
3 years ago
13

Factor 2xSquared + 3x+1

Mathematics
1 answer:
Fiesta28 [93]3 years ago
8 0
2x² + 3x + 1
2x² + 2x + x + 1
(2x + 1)(x + 1)
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4.57 hours

Step-by-step explanation:

The equation v = d/t is used.

since the time is to be found, 242 miles is divided by 53 miles/hr which gives 4.566 hours so if you round it up. It will be 4.57 hours or 4.6 hours.

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How do you solve this question? Any help appreciated!
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\bf \displaystyle \int\limits_{1}^{e}\cfrac{1}{t}\cdot dt\\\\
-------------------------------\\\\
\textit{doing substitution}\\\\
u=\cfrac{1}{t}\implies u=t^{-1}\implies \cfrac{du}{dt}=-t^{-2}\implies \cfrac{du}{dt}=-\cfrac{1}{t^2}\\\\\\ -t^2du=dt\\\\
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\displaystyle \int\limits_{1}^{e}u\cdot -t^2du\impliedby \textit{now, let's do some substitution on the "t"}\\\\
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\bf u=\cfrac{1}{t}\implies t=\cfrac{1}{u}\implies t^2=\cfrac{1^2}{u^2}\implies t^2=\cfrac{1}{u^2}\\\\
-------------------------------\\\\
\displaystyle \int\limits_{1}^{e}u\cdot -\cfrac{1}{u^2}\cdot du\implies -1\int\limits_{1}^{e}\cfrac{1}{u}\cdot du\implies \left. -ln|u| \cfrac{}{}\right]_1^e

\bf \left. -ln\left( \frac{1}{t} \right) \cfrac{}{}\right]_1^e\implies 
\left[ -ln\left( \frac{1}{e} \right) \right]-\left[ -ln\left( \frac{1}{1} \right) \right]\implies 
\left[ -ln\left( e^{-1}\right) \right]-\left[ -ln\left( 1\right) \right]
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[-(-1)]-[-(0)]\implies 1-0\implies 1
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3 years ago
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Advocard [28]

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175%

Step-by-step explanation:

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