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3 years ago

Each classmate contributes $2 for charity. Write an expression for the amount of raised by your class.

Mathematics

1 answer:

Semenov [28]3 years ago

6 0

(amount raised) = $2 × (number of classmates)

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What is greater 5.624 or 5.64

rusak2 [61]

5.64 is greater than 5.624
Look at the hundredths place, (third place from left to right)
4 is bigger than 2

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3 years ago

The population of a city is 2,500. If the number of males is 240 more than the number of females, how many males and females are

horsena [70]

2500 - 240 = 2260
2260/2= 1130 or female count 1130 + 240 = 1370 or male count\
1370 + 1130 = 2500

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3 years ago

There are 12 boys and 13 girls in a class. If the teacher randomly chooses a student's name out of a hat, what is the probabilit

Afina-wow [57]

12:13 is the answer

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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

Simplify the given polynomial expressions as much as possible

bazaltina [42]

Answer:

34a^2 + 21a - 20

Step-by-step explanation:

(12a^2 + 6a -8) - (-22a + 12 - 15a)

12a^2 + 6a - 8 + 22a + 12 - 15a

34^2 + 6a - 8 - 12 + 15a

34^2 + 21a - 20

7 0

2 years ago