3 years ago

A car travels 78 miles on 3 gallons of gasoline. How many miles can the car travel on one gallon of gasoline?

Mathematics

1 answer:

babymother [125]3 years ago

3 0

Answer:

26 miles.

Step-by-step explanation:

you want to divide 78 by 3.

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Umnica [9.8K]

Answer

Step-by-step explanation:

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6 0

3 years ago

G prove that limx→∞(x 2 + 1)/x2 = 1 using the definition of limit at ∞.

Maslowich

$\displaystyle\lim_{x\to\infty}\frac{x^2+1}{x^2}=1$

means to say there is some number $M$ for which any choice of $\varepsilon>0$ such that

$x>M\implies\left|\dfrac{x^2+1}{x^2}-1\right|$

Working backwards, we have

$\left|\dfrac{x^2+1}{x^2}-1\right|=\left|1+\dfrac1{x^2}-1\right|=\dfrac1{x^2}$
$\implies\sqrt{\dfrac1{x^2}}$

So, whenever $x>M=\dfrac1{\sqrt\varepsilon}$ , we can always guarantee that $\left|\dfrac{x^2+1}{x^2}-1\right|$ .