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aev [14]
3 years ago
11

Negative 1 divided by 3x is greater than 5

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer:

-\frac{1}{15}

Step-by-step explanation:

\frac{-1}{3x}> 5 \\\\\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}\\\\\frac{-1}{3x}-5>5-5\\\\Simplify\\-\frac{1}{3x}-5>0\\\\\mathrm{Simplify}\:-\frac{1}{3x}-5:\quad \frac{-1-15x}{3x}\\\\\frac{-1-15x}{3x}>0\\\\\mathrm{Multiply\:both\:sides\:by\:}3\\\frac{3\left(-1-15x\right)}{3x}>0\times\:3\\\\Simplify\\\\\frac{-1-15x}{x}>0\\\\\mathrm{Find\:the\:signs\:of\:the\:factors\:of\:}\frac{-1-15x}{x}\\\\\mathrm{Identify\:the\:intervals\:that\:satisfy\:the\:required\:condition:}\:>\:0\\\\

-\frac{1}{15}

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A store had 150 laptops in the month of January. Every month, 20% of the laptops were sold and 10 new laptops were stocked in th
Softa [21]

<u>Answer-</u>

\boxed{\boxed{f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0}}

<u>Solution-</u>

Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.

As the store had 150 laptops in the month of January or at the beginning.

So f(0)=150

Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

As 20% of laptops were sold, so 80% were in the store.

So, after one month total number of laptops in the store,

\Rightarrow f(1)=0.8(150)+10

\Rightarrow f(1)=0.8(f(0))+10     (\because f(0)=150)

Again after one month total number of laptops in the store,

\Rightarrow f(2)=0.8\times (0.8(150)+10)+10

\Rightarrow f(2)=0.8(f(1))+10     (\because f(1)=0.8(150)+10)

Analyzing the pattern, the recursive function f(n) will be,

f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0


3 0
3 years ago
Read 2 more answers
Which expression is equivalent to 5.4+3.4w-1.8w +5.8 A) 7(1.6+w) B) 1.6(7+w) C) 1.6(7w) D) 1.6(0.25+w)
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Do 5.4 plus 5.8 then do 3.4w minus 1.8w and whatever you get for each is your key to the expression. So if you were to solve the answers like A you would do 7(1.6+w) and see what you would get. Obviously A isn't the answer. Sorry, this is hard to explain. But the answer is C 
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