All categories

3 years ago

Given: f(x)= 8x^5, find f^-1(x)

Mathematics

1 answer:

zlopas [31]3 years ago

3 0

Answer:

y= 5th root of (x over 8)

Step-by-step explanation:

y=8x^5

x=8y^5

(x/8)=y^5

wont let me put a square root but the answer should be y equals 5th root of x over 8 all in the 5th root

You might be interested in

Three consecutive even numbers have a sum where one half of that sum is between 90 and 105. Write an inequality to find the the

viva [34]

90 < [( n + n + 2 + n + 4) / 2] < 105

90 < (3n + 6) / 2 < 105

3n + 6 > 180 and 3n + 6 < 210

n > 58 , n < 68

58 < n < 68 answer

6 0

3 years ago

-1/3(n+15)=-2. what is n? please show work on paper and send it to me asap.

Anton [14]

Step-by-step explanation:

Use the distributive formula to solve for n:

-a(b + c) = -ab - ac

So, to solve this you would have to use the distributive property:

-1/3n - 5 = -2

Add 5 to both sides

-1/3n - 5 + 5 = -2 + 5

-1/3n = 3

Now, multiply -3 from both sides

-1/3 * -3 n = 3 * -3

Simplify

n = -9

Hope that helped!!

~A̷l̷i̷s̷h̷e̷a̷♡

4 0

3 years ago

Read 2 more answers

g A fair coin is tossed 20 times. The number of heads observed is the count X of successes. Give the distribution of X . Choose

Nuetrik [128]

Answer:

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

$X \sim Binom(n=20, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

We assume that we have a fair coin that is $p(Head)=p(Tails)=0.5$

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

$X \sim Binom(n=20, p=0.5)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

3 0

3 years ago

Which of the following relations are functions?

Alisiya [41]

{(c,e),(c,d),(c,b)} is NOT a function since the input c has multiple outputs (e,d,b). So choice B is out

{(b,b),(c,d),(d,c),(c,a)} is NOT a function either. The input 'c' corresponds to the output 'd' and 'a' at the same time. So choice C is out too

Choices A and D are the answer. They are functions since any given input corresponds to exactly one output.

7 0

3 years ago

Read 2 more answers

Lee spent $36 to purchase a combination of drinks, sandwiches, and chips for himself and his friends. A drink costs $2, a sandwi

valkas [14]

2x+4y+0.50z=36 represents the situation.

Step-by-step explanation:

Let,

Drinks = x

Sandwich = y

And,

Chips = z

Total amount on these items = $36

According to the statement;

$x(cost\ of\ one\ drink)+y(cost\ of\ one\ sandwich)+z(cost\ of\ one\ chips)=\ Total\ amount\ spent\\2x+4y+0.50z=36$

2x+4y+0.50z=36 represents the situation.

Keywords: Linear equations

Learn more about linear equations at:

#LearnwithBrainly

7 0

3 years ago