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3 years ago

For the given functions, f(x) and g(x) find f(x)+g(x)

Mathematics

1 answer:

Nitella [24]3 years ago

4 0

Answer: -5.5x - 1.167

Step-by-step explanation:

lets focus on the top part of the fraction, remember were allowed to just add the top together because the bases are the same

okay, so the variables we know we can combine are 8x and 3x which equals 11x and -13 and 41 which equals 28

so now our top looks like x^2 +11x + 28, all over x^2- 2x - 24

we can cancel out the X^2, and from then its just a division problem

you end up with -5.5x - 1.167

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3 years ago

Read 2 more answers

Use geometric series to find the fraction of 0.8967898989

Sliva [168]

I'm guessing the repeating part is 89 at the end, so that

$x=0.8967\overline89\implies10^4x=8967.\overline{89}$

Then

$10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}$

$10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)$

$10^4x=8967+\dfrac{89}{99}$

$x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}$

$x=\dfrac{443911}{495000}$

###

An arguably quicker way without using geometric series:

$10^4x=8967.\overline{89}$

$10^6x=896789.\overline{89}$

$10^6x-10^4x=887822$

$x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}$

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3 years ago