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3 years ago

Factor completely. x^8- 1/84

1 answer:

7 0

Factor the following:
x^8 - 1/84

Put each term in x^8 - 1/84 over the common denominator 84: x^8 - 1/84 = (84 x^8)/84 - 1/84:
(84 x^8)/84 - 1/84

(84 x^8)/84 - 1/84 = (84 x^8 - 1)/84:
Answer: (84 x^8 - 1)/84

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Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his

Ksivusya [100]

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Step-by-step explanation:

Alex wrote checks on Tuesday for $30 and $40. He also made a deposit in his checking account of $180. Let's solve it step by step :

Alex wrote checks on Tuesday for $30 and $40:

Let's suppose Alex initially had x amount of money out of which $30 & $40 is deducted! so left amount of money is $(x-70) .

He also made a deposit in his checking account of $180:

Out of left money $(x-70) , Alex deposited $180 in account so new money = $(x-70) + $180 = $(x+110)

Therefore, Alex finally had $(x+110) amount of money in his account i.e. He had $100 more then before!

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3 years ago

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myrzilka [38]

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6 0

3 years ago

If f(x) and f^-4(x) are inverse functions of each other and f(x) = 2x+5, what is f^-1(x)?

miss Akunina [59]

For this case we must find the inverse of the following function:

$f (x) = 2x + 5$

Then, we follow the steps:

We change $f (x)$ by y:

$y = 2x + 5$

We exchange the variables:

$x = 2y + 5$

We clear the variable "y":

$x-5 = 2y\\y = \frac {x-5} {2}$

We change y for $f^{-1}(x):$

$f^{-1}(x) = \frac {x-5} {2}$

Answer:

$f^{-1}(x) = \frac {x-5} {2}$

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