What is the domain of this function? (16, 1) (1, 5) (–13,

Help me plssssssssssss

DiKsa [7]

9514 1404 393

Answer:

f^-1(x) = 4+∛((x-6)/5)

Step-by-step explanation:

To find the inverse function, solve ...

x = f(y)

then write the answer in functional form.

$\displaystyle x=f(y)\\\\x=5(y-4)^3+6\\\\x-6=5(y-4)^3\\\\\frac{x-6}{5}=(y-4)^3\\\\\sqrt[3]{\frac{x-6}{5}}=y-4\\\\y=4+\sqrt[3]{\frac{x-6}{5}}\\\\\boxed{f^{-1}(x)=4+\sqrt[3]{\frac{x-6}{5}}}$

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The graph shows the function and its inverse to be reflections of each other in the line y=x, as they should be.

3 0

2 years ago

Eric's class consists of 12 males and 16 females. If 3 students are selected at random, find the probability that they

Reptile [31]

Answer:

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

Step-by-step explanation:

Let 'M' be the event of selecting males n(M) = 12

Number of ways of choosing 3 students From all males and females

$n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276$

Number of ways of choosing 3 students From all males

$n(M) = 12C_{3} = \frac{12!}{(12-3)!3!} =\frac{12 X 11 X 10}{3 X 2 X 1 } =220$

The probability that all are male of choosing '3' students

$P(E) = \frac{n(M)}{n(S)} = \frac{12 C_{3} }{28 C_{3} }$

$P(E) = \frac{12 C_{3} }{28 C_{3} } = \frac{220}{3276}$

P(E) = 0.067 = 6.71%

Final answer:-

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

3 0

3 years ago

Quincy has $37 in a savings account

Rudik [331]

Answer:

The 2nd answer would be the correct option.

Step-by-step explanation:

Hope this helps:) Also can I have brainliest if possible:) It is ok if you can not.

4 0

3 years ago

Bronson builds a rectangular deck for his friend. the width of the deck is 29 feet. the perimeter of the deck must be at least 1

olga_2 [115]

Answer: a) Greater than or equal to 38 feet b)Since there is no restriction on the perimeter there exists many possible values for the length of the deck. Explanation: Given that the width of the deck is 29 ft. and the perimeter of the deck is at least 134 ft. 134 = 2(length + width) 134 = (2 x length) + (2 x 29) 134 = (2 x length) + 58 2 x length = 134 - 58 2 x length = 76 length = 76 / 2 length = 38 ft Thus, the inequality will be: a)Length â‰Ą 38 ft b)since there is no restriction on the perimeter there exists many possible values for length of deck.

4 0

3 years ago

On a test Denzel answers that 3x + 6a + 7 is equivalent to 3(x + 2a +7). Is Denzel correct, why or why not? * Yes, he is correct

emmainna [20.7K]

Answer:

No, he is not correct because the constant in his answer should have been 21 not 7.

Step-by-step explanation:

$3(x+2a+7)=3x+6a+21$

Therefore, the correct answer is the fourth; he should have put 21.

6 0

3 years ago

What is the domain of this function? (16, 1) (1, 5) (–13, –12) (18, 12)