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Eddi Din [679]
3 years ago
8

Given x(y + 2) = 3x + y, express y in terms of x.​

Mathematics
1 answer:
vodka [1.7K]3 years ago
6 0

Answer:

y = \frac{x}{x-1}

Step-by-step explanation:

Given

x(y + 2) = 3x + y ← distribute parenthesis on left side

xy + 2x = 3x + y ( subtract 2x from both sides )

xy = x + y ( subtract y from both sides )

xy - y = x ← factor out y from each term on the left side )

y(x - 1) = x ← divide both sides by (x - 1)

y = \frac{x}{x-1}

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The answer you seek happens to be the first one, A.
5 0
4 years ago
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Whats the answer to this?
Setler [38]

Answer:

B

Step-by-step explanation:

3 0
4 years ago
Find the limit, if it exists. (If an answer does not exist, enter DNE.)
lys-0071 [83]

let's change some the 0.1 to say 1/10, just the fraction version of it.

\bf \lim\limits_{x\to \left( \frac{1}{10} \right)^-}~\cfrac{10x-1}{|10x^3-x^2|}\implies \lim\limits_{x\to \left( \frac{1}{10} \right)^-}~\cfrac{10(-x)-1}{10(-x)^3-(-x)^2}

\bf \cfrac{-10x-1}{-10x^3-x^2}\implies \cfrac{-10\left( \frac{1}{10} \right)-1}{-10\left( \frac{1}{10} \right)^3-\left( \frac{1}{10} \right)^2}\implies \cfrac{-1-1}{-\frac{1}{100}-\frac{1}{100}}\implies \cfrac{-2}{\frac{-2}{100}} \\\\\\ \cfrac{~~\begin{matrix} -2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\cdot \cfrac{100}{~~\begin{matrix} -2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 100

when checking an absolute value expression, we do the one-sided limits, since an absolute value expression is in effect a piecewise function with ± versions, so for the limit from the left we check the negative version.

8 0
3 years ago
A candle is lit and the length of the burning candle changes at a constant rate of -1.6 inches per hour. 3 hours after the candl
Gnesinka [82]

Answer: The length of the candle was 13.5 inches before it was lit.

Step-by-step explanation:

Let the length of candle in the beginning be c.

Constant rate of change in length of candle=  -1.6 inches per hour

Since rate of change is constant so the length of candle can be represented by a linear function [Linear function has constant rate of change.]

Linear function : f(x)= mx+c , where x= independent variable.

m= constant rate of change and c= initial value of function.

Let x = Number of hours after the candle was lit.

Put m=  -1.6 , x= 3 and f(x)= 8.7 , we get

8.7=-1.6(3)+c\\\\ 8.7= -4.8+c\\\\ c=8.7+4.8=13.5

Hence, the length of the candle was 13.5 inches before it was lit.

5 0
4 years ago
If the rate of inflation is 2.6% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following
PilotLPTM [1.2K]

Answer:

The current price of the item is $600.

The price of the item 9 years from today will be of $756.

Step-by-step explanation:

Price of the item:

The price of the item, in dollars, after t years, is given by:

p(t) = 600(1.026)^t

Current price of the item

This is p(0). So

p(0) = 600(1.026)^0 = 600

The current price of the item is $600.

9 years from today.

This is p(9). So

p(9) = 600(1.026)^9 = 756

The price of the item 9 years from today will be of $756.

3 0
3 years ago
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