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Dmitry_Shevchenko [17]
3 years ago
7

Simplify

Mathematics
1 answer:
OlgaM077 [116]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

\frac{x-1}{x^2-3x+2}+ \frac{x-2}{x^2-5x+6} +\frac{x-5}{x^2-8x+15}

we need to simplify that

x^2-3x+2=(x-1)(x-2)\\\\x^2-5x+6=(x-2)(x-3)\\\\x^2-8x+15=(x-3)(x-5)

so we can continue

\frac{x-1}{(x-1)(x-2)}=\frac{1}{x-2}\\\\\frac{x-2}{(x-2)(x-3)} =\frac{1}{x-3}\\\\\frac{x-5}{(x-3)(x-5)} =\frac{1}{x-3}

and we can put all together

\frac{1}{x-2}+ \frac{1}{x-3}+ \frac{1}{x-3}\\\\\frac{1}{x-2} +\frac{2}{x-3}\\\\\frac{x-3}{(x-3)(x-2)}+ \frac{2(x-2)}{(x-2)(x-3)} \\\\\frac{x-3+2x-4}{(x-3)(x-2)}\\\\\frac{3x-7}{x^2-5x+6}

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Answer: 10.7 years.

Step-by-step explanation:

7,300 * (1 + 0.015)^x = 8,560 <=>

7,300 * 1.015^x = 8,560 <=>

1.015^x = 8,560 / 7,300 <=>

1.015^x = 1.1726 <=>

x = 10.694

To the nearest tenth:

x = 10.7 years

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Dividing and Multiplying functions
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Ok, so first of all, you need to plug the functions into their places. Since f(x) = 6x and g(x) = x + 3, you'll plug them in accordingly:
(6x) * (x + 3).

Then you'll multiply them together to get 6x^2 + 18x. You can't combine like terms then because of the square in the first term.

So your final answer is 6x^2 + 18x.

I hope this helps you at least a little bit. Thanks for your time!
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4 years ago
Keahi decided he needed to start drinking more water on monday he drank 2 liters 935 milliliters of water. On tuesday he drank s
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Answer:

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Step-by-step explanation:

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When looking for a job micah is told that the monthly salary has a range of 876 he also knows that the starting salary is 1,793
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Answer:

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Step-by-step explanation:

Given that :

Salary range = 876

Starting salary = 1793 monthly

The starting salary represents the minimum amount Micah can earn monthly

Therefore, the amount of money much can earn can be calculated thus :

Recall :

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Hence, the maximum salary Micha can earn is 2669 monthly

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Determine whether these two functions are inverses.​
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Answer:

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Step-by-step explanation:

They way of finding if two functions (f(x)\,\,and\,\,g(x) ) are the inverse of each other is by studying if their composition renders in fact the identity. That is, we see if:

f(x) \,o \,g(x)=f(g(x))=x

in our case:

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8 0
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