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TiliK225 [7]
3 years ago
11

A function and its inverse are shown on the graph. Which statement describes the relationship between the function and its inver

se?
TIMED QUIZ PLEASE HELP
A) The range of both f(x) and f^-1(x) is all real numbers.
B) The domain of both f(x) and f^-1(x) is all real numbers
C) The range of f(x) is y>0 and the domain of f^-1(x) is x>0
D) The domain of f(x) is x>0 and the range of f^-1(x) is y>0

Mathematics
2 answers:
WARRIOR [948]3 years ago
4 0

Answer:

Option (B)

Step-by-step explanation:

Domain of function is defined by the set of x-values (input values) and Range of a function is a set of y-values (output values).

From the graph attached,

Domain of f(x) → Set of all real numbers

Range of f(x) → y-values > 0

Domain of f^{-1}(x) → Set of all real numbers

Range of f^{-1}(x) → y < 2

Therefore, domain of both the functions is a set of all real numbers.

Option (B) is the correct option.

SpyIntel [72]3 years ago
4 0

Answer:

In photo below

Explanation:

In photo below

I hope this helps

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Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

Download pdf
6 0
3 years ago
In a 45 45 90 right angle what is the ratio of the length of one leg to the length of the other
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The radius of a cylinder is 3 cm and the height is 6 cm.
mars1129 [50]

Answer:

Lateral Area of a Cylinder = 2πrh

=2π x 3 x 6

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Option D

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3 years ago
One pump can empty a pool in 4 days, whereas a second pump can empty the pool in 10 days. How long will it take the two pumps, w
gtnhenbr [62]

Answer:

20/7 days (just less than 3 days)

Step-by-step explanation:

Recall that (1 job) = (rate)(time), so time = (1 job) / (rate).

Set up and solve the following equation:

  1 job

------------------------------- = time required for 2 pumps working together

1 job         1 job

---------- + -------------

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This comes out to:

              1 job

------------------------------------------- = time required

10 job-days      4 job-days

------------------ + -----------------

   40 days           40 days

or:

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14 job·days

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Tanyss's house has 25 windows. Her brother has washed 22 of the windows. What percent of the windows has her brother washed?
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Answer:

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Step-by-step explanation:

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