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3 years ago

11

Billy has 2 3/4 gallons of green paint left over from last year. He buys 6 new quarts of green paint. How much green paint does

he have in all?

1 answer:

Kryger [21]3 years ago

5 0

Answer:

15 or 16 is it your welcome

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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

3 years ago

I have 2 questions 1.Matt needs to buy 13 cases of oil. Each case contains 24 bottles. How many bottles of oil will Matt have?

hammer [34]

Answer:

cool

Step-by-step explanation:

8 0

3 years ago

Please help! It’s urgent!

Gre4nikov [31]

Answer:

9/35

all the boxes in one row are 7 and the number of rows are 5 .. so 7x5=35 and the number of boxes shaded are 9

5 0

2 years ago

1.what is the slope of the line passing through the points (1,-5) and (4,1)?

hoa [83]

Answer:

C. 2

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1) , (x1,y1) = (1,-5) , (x2,y2)=(4,1)

= (1-(-5)) / (4-1)

= (1+5) / 3

= 6/3

= 2

3 0

3 years ago

What is the solution set of 4x 2 - 36 = 0?<br><br> A.{-3}<br> B.{3}<br> C.{-3, 3}

Nimfa-mama [501]

4x^2 - 36 = 0
4x^2 = 36
x^2 = 9
x = 3 or -3
the answer is C

4 0

3 years ago

Read 2 more answers