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3 years ago

What is the inverse of the function f(x) = 6x-5/x+9

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

7 0

Answer:

−

(

)

−

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=9x+56−x f - 1 ( x ) = 9 x + 5 6 - x is the inverse of f(x)=6x−5x+9 f ( x ) = 6 x - 5 x + 9 .

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Eight packages of strawberries cost $24. How many packages can you buy for $12

romanna [79]

4 packages, because 24/12=2, 8/2=4 packages.

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4 years ago

The time taken to complete a motorcycle race is normally distributed, with an average time (µ) of 2.5 hours and a standard devia

torisob [31]

Using the normal distribution, there is a 0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 2.5, \sigma = 0.5$

The probability that a randomly selected cyclist will take at least 2.45 hours to complete the race is <u>one subtracted by the p-value of Z when X = 2.45</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{2.45 - 2.5}{0.5}$

Z = -0.1

Z = -0.1 has a p-value of 0.4602.

1 - 0.4602 = 0.5398.

0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

3 0

2 years ago

Which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x?

masha68 [24]

Answer:

The graph shows the number of car payments paid on the horizontal axis and the amount owed on the vertical axis. The line starts high on the vertical axis and decreases as it goes along the horizontal axis.

Step-by-step explanation:

Among the given options only the 2nd option is correct.

i. e., the graph shows the number of car payments paid on the horizontal axis and the amount owed on the vertical axis. The line starts high on the vertical axis and decreases as it goes along the horizontal axis.

7 0

3 years ago

Read 2 more answers

PLEASE HELP!!!! I really don't know how to do this. If someone could tell me i would be so thankful. I give brainliests!

vampirchik [111]

A. Yes
B. Yes
C. Yes
D. No
Me and my friend think that's the answer hope this helps I don't brainiest just trying to help

7 0

3 years ago

Read 2 more answers

What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.

Vika [28.1K]

Answer:

(a is size of side of triangle)

the perimeter of equilateral triangle =3a

or, 36=3a

Thus, a = 13cm

area of equilateral triangle

=√3/4*(a^2 )

=√3/4*(13^2)

=73cm^2

5 0

2 years ago