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3 years ago

Solve for x: 3(x + 1) = 2(x − 1)

Mathematics

2 answers:

gavmur [86]3 years ago

8 0

Answer:

x= -5

Step-by-step explanation:

3x+3=2x-2

3x-2x=-3-2

x=-5

Fudgin [204]3 years ago

3 0

Answer:

x = -5

Step-by-step explanation:

First Expand the equation

3x+3 = 2x-2

Subtract 2x from both sides

x+3=-2

subtract 3 from both sides

x = -5

Hope this helps :)

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zhannawk [14.2K]

Answer:12x^2yz

Step-by-step explanation:

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3 years ago

Evaluate the limits<br><br>

julsineya [31]

$x > \ln(x)$ for all $x$ , so

$\displaystyle \lim_{x\to\infty} (\ln(x) - x) = - \lim_{x\to\infty} x = \boxed{-\infty}$

Similarly, $\displaystyle \lim_{x\to\infty} (x-e^x) = - \lim_{x\to\infty} e^x = \boxed{-\infty}$

We can of course see the limits are identical by replacing $x\mapsto e^x$ , so that

$\displaystyle \lim_{x\to\infty} (\ln(x) - x) = \lim_{x\to\infty} (\ln(e^x) - e^x) = \lim_{x\to\infty} (x - e^x)$

You can also rewrite the limands to accommodate the application of l'Hôpital's rule. For instance,

$\displaystyle \lim_{x\to\infty} (x - e^x) = \ln\left(\exp\left(\lim_{x\to\infty} (x - e^x)\right)\right) = \ln\left(\lim_{x\to\infty} e^{x-e^x}\right) = \ln\left(\lim_{x\to\infty} \frac{e^x}{e^{e^x}}\right)$

Using the rule, the limit here is

$\displaystyle \lim_{x\to\infty} \frac{(e^x)'}{\left(e^{e^x}\right)'} = \lim_{x\to\infty} \frac{e^x}{e^x e^{e^x}} = \lim_{x\to\infty} \frac1{e^{e^x}} = 0$

so the overall limit is

$\displaystyle \lim_{x\to\infty} (x - e^x) = \ln\left(\lim_{x\to\infty} \frac{e^x}{e^{e^x}}\right) = \ln(0) = \lim_{x\to0^+} \ln(x) = -\infty$

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2 years ago

Sharing birthday Alana is 8 and mom is 32.. Can Alana mom age be 3 times her own age?

Anna007 [38]

No Alana's mom cannot be 3 times her age because 8 multiplied by 3 equals 24, Alana's mom would have to be 4 times her age. (8 multiplied by 4 equals 32)

4 0

3 years ago

Expand the brackets and simplify: 2(5x-y)-3(3x-y)

leonid [27]

Answer:

x - 5y

Step-by-step explanation:

2 ( 5x - y ) - 3 ( 3x - y )

= 10x - 2y - 9x + 3y

= 10x - 9x - 2y + 3y

= x - 5y ( ANS )

8 0

3 years ago

Read 2 more answers

Kit charges customers an initial fee plus a certain amount per hour to walk their pets. The table below shows the amount of mone

Luda [366]

Answer:

The answer would be 7.5

Step-by-step explanation:

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3 years ago