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2 years ago

10

The scale for a map is 20 miles =1/2 inch. The distance between two towns on the map is 3 and 3/4 inches. What is the actual dis

tance between these towns?

1 answer:

Fofino [41]2 years ago

4 0

Answer:

okbvghcfgcgfxdxdfffij,mhb

Step-by-step explanation:

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My name is Ann [436]

$f(x) = \frac{lnx}{x}$

(a) $f'(x) = \frac{d}{dx}[\frac{lnx}{x}]$
Using the quotient rule:
$f'(x) = \frac{\frac{1}{x} \cdot x - lnx}{x^{2}}$
$f'(x) = \frac{1 - lnx}{x^{2}}$

For maximum, f'(x) = 0;
$\frac{1 - lnx}{x} = 0$
$lnx = 1, x = e$

(b) <em>Deduce:
</em> $e^{x} \geq x^{e}, x > 0$
<em>
Soln:</em> Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
$\frac{ln(e)}{e} \geq \frac{lnx}{x}$
$\frac{1}{e} \geq \frac{lnx}{x}$ , since ln(e) is simply equal to 1

Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
$\frac{x}{e} \geq lnx$
$x \geq elnx$
$x \geq ln(x^{e})$

Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:
$e^{x} \geq e^{ln(x^{e}})$
$e^{x} \geq x^{e}$ , as required.

3 0

2 years ago

Which is better 9.95 for 30oz of coffee or 3.50 for 12oz of coffee

MaRussiya [10]

Answer:

9.95 for 30oz

Step-by-step explanation:

30/9.95 = 3.02

12/3.5 = 3.43

7 0

2 years ago

Are points B, J, and C collinear or noncollinear?

adoni [48]

I’m pretty sure they’re collinear. I’m so sorry if I’m wrong.

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2 years ago

Use the drop-down menu to create true statements. If the graph of an inverse passes the , you know that the inverse is a functio

Bumek [7]

Answer:

1) vertical-Line test

2)y=x

3)x

4)domain

Step-by-step explanation:

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2 years ago

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa

Stella [2.4K]

Answer:

Please inform me if I am wrong

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3 years ago