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2 years ago

Which point fits the description: the y- coordinate is half the x-coordinate?

Mathematics

1 answer:

Naily [24]2 years ago

8 0

Answer:

3,6

Step-by-step explanation:

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Calculating Areas of Multiple Polygons

zhuklara [117]

Answer:

the answer is 29

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

F(x) = lnx/x

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

3 years ago

Rewrite the expression in the form b^n

aleksklad [387]

Answer:

b 15/4

Step-by-step explanation:

5 0

3 years ago

Daniel makes 100 dollars each week. He worked for a weeks this summer.

Digiron [165]

Answer:

the number of weeks is unknown the A represents the number of weeks so the answer is 100a

7 0

3 years ago

The ratio of boys to girls on rowans swim team is 2:3.if there are 40 total swimmers on the team,how many of them are girls?

Bogdan [553]

Answer:

The ratio of girls is 24.

Step-by-step explanation:

If the total amount of swimmers is 40, you can divide it by 8 to get 5 multiples. If three of those 5's belong to the ratio of girls, the equation is 3 x 8. The answer is 24.

6 0

3 years ago