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3 years ago

9 ones 2 thousandths minus 3 ones

Mathematics

1 answer:

givi [52]3 years ago

7 0

9.002-3.000=7.002 so you just remove 9-3 and you get 7 but not forget the 002 so it is 7.002

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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) Deduce:
 $e^{x} \geq x^{e}, x > 0$

Soln: 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

On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas. On the return trip she traveled 235 miles on 8 g

Tamiku [17]

Julie travelled with 30.5 miler per gallon.

SOLUTION:

Given, On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas.

On the return trip she traveled 235 miles on 8 gallons of gas.

We have to find how many miles per gallon did Julie get on the way there?

We know that,

$\text { number of miles per gallon }=\frac{\text { total distance travelled }}{\text { total number of gallons }}$

Substituting the values we get,

$=\frac{192+235}{8+6}=\frac{427}{14}=30.5 \text { miles per gallon }$

Hence, Julie travelled with 30.5 miler per gallon on the way there on mountains.

5 0

2 years ago

Luis has saved $14 for a skateboard that costs $52. He can use the equation 14+m=52 to find how much more money m he needs. How

emmasim [6.3K]

Answer:

Step-by-step explanation:

To solve this you just do 14 - 52 then you get 38. Make sure to check your work. 38 + 14 = 52.

7 0

3 years ago

Read 2 more answers

Plz help with this I don’t really get it

Greeley [361]

Answer:

Step-by-step explanation:

Associative Property of Multiplication is a(bc) = (ab)c

d is the only one that follows the rule

6 0

3 years ago

Linear System, substitutional method 5x+4y=32 9x-y=33 helppp

Pachacha [2.7K]

5x + 4y = 32 ⇒ 45x + 36y = 288
9x - 1y = 33 ⇒ 45x - 5y = 165
 41y = 123
 41 41
 y = 3
 5x + 4(3) = 32
 5x + 12 = 32
 - 12 - 12
 5x = 20
 5 5
 x = 4
 (x, y) = (4, 3)

6 0

3 years ago