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Igoryamba
2 years ago
7

What is the solution to -8(5-3n+7n)=-40+24n-56n= ?

Mathematics
2 answers:
stiv31 [10]2 years ago
7 0

Solution:

<u>Note that:</u>

  • Given equation: -8(5 - 3n + 7n) = -40 + 24n - 56n

<u>Simplify both sides:</u>

  • -8(5 - 3n + 7n) = -40 + 24n - 56n
  • => -40 + 24n - 56n = -40 + 24n - 56n

Since both sides are equal, this equation has <u>infinite solutions.</u>

adell [148]2 years ago
5 0
-8(5-3n+7n)= -40+ 24n -56n
-(8•5)-(-8•3n)-(8•7n)=-40+ 24n -56n
-40+ 24n -56n =-40+ 24n -56n
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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) <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
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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
How many rows and colums in 16 divided by 112
earnstyle [38]
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Answer:

A

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fenix001 [56]

Answer:

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Step-by-step explanation:

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3 years ago
Which expression is equal to<br> to (-10 – 2i) + (3 + i)?<br> 0 -7 ti<br> o – 13 –<br> 07-<br> -7-
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Answer:

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Step-by-step explanation:

Given

(- 10 - 2i) + (3 + i) ← remove parenthesis

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