A snail moves 18 millimeters every 24 seconds. What is the snail's rate of speed ?

Mathematics

2 answers:

andrey2020 [161]3 years ago

4 0

Answer:

0.75m/s

Step-by-step explanation:

<em>Speed formula: ⇒ $S=\frac{V}{T}$ </em>

<em>Divide by the numbers from left to right.</em>

<em>0.75m/s is the correct answer.</em>

<em>I hope this helps you, and have a wonderful day!</em>

mario62 [17]3 years ago

3 0

<h3>Answer:</h3>

$\frac{3}{4}$ millimeter per second

<h3>Explanation:</h3>

You simply need to divide $\frac{18}{24}$ . This is a fraction, so you can just simplify it.

Divide the numerator and the denominator each by 6, which is the greatest common factor. $\frac{\frac{18}{6}}{\frac{24}{6}} = \frac{3}{4}$

This is as simple as the result can get, so $\frac{3}{4}$ millimeter per second is the final answer.

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If g (x) = 1/x then [g (x+h) - g (x)] /h

lys-0071 [83]

Answer:

$\dfrac{-1}{x(x+h)}, h\ne 0$

Step-by-step explanation:

If $g(x) = \dfrac{1}{x}$ , then $g(x+h) = \dfrac{1}{x+h}$ . It follows that

$\begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \cdot [g(x+h) - g(x)] \\&= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\end{aligned}$

Technically we are done, but some more simplification can be made. We can get a common denominator between 1/(x+h) and 1/x.

$\begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\\&=\frac{1}{h} \left(\frac{x}{x(x+h)} - \frac{x+h}{x(x+h)} \right) \\ &=\frac{1}{h} \left(\frac{x-(x+h)}{x(x+h)}\right) \\ &=\frac{1}{h} \left(\frac{x-x-h}{x(x+h)}\right) \\ &=\frac{1}{h} \left(\frac{-h}{x(x+h)}\right) \end{aligned}$