1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wolverine [178]
3 years ago
9

WILL GIVE BRAINLIEST!!!

Mathematics
2 answers:
frosja888 [35]3 years ago
5 0

Answer:

The answer below is actually correct.

Slav-nsk [51]3 years ago
4 0

\text{Consider the function}\\
\\
f(x)=6x^3-3\\
\\
\text{let }y=f(x), \text{ so we have}\\
\\
y=6x^3-3\\
\\
\text{now in order to find the inverse of the function, first we interchange x and y}\\
\text{so we get}\\
\\
x=6y^3-3

\text{now we will solve for y again and that will give the required inverse function.}\\
\text{so first we add 3 both sides to get}\\
\\
x+3=6y^3\\
\\
\text{now divide both sides by 6 to get}\\
\\
\frac{x+3}{6}=y^3\\
\\
\text{now take cube root both sides to get}\\
\\
\sqrt[3]{\frac{x+3}{6}}=\sqrt[3]{y^3}

\Rightarrow \sqrt[3]{\frac{x+3}{6}}=y\\
\\
\Rightarrow y=\sqrt[3]{\frac{x+3}{6}}\\
\\
\text{hence the inverse of the function is: }\\
\\
f^{-1}(x)=\sqrt[3]{\frac{x+3}{6}}

You might be interested in
A line passes through (3, 7) and (6, 9). Which equation best represents the line? (4 points) y = 3 over 2 x + 5 y = 2 over 3 x +
kotykmax [81]

Given two points, the equation of the line may be determined by,

y - y1 = ((y2 - y1) / (x2 - x1))(x - x1)

Substituting the given values,

y - 7 = ((9 - 7) / (6 - 3))(x - 3)

Simplification will yield to an answer of,

y = 2x/3 +5

Therefore, the answer is the second choice.

8 0
3 years ago
In a​ survey, 36​% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result
Damm [24]

Answer: p value is 0.1685.

Step-by-step explanation:

Since we have given that

The survey is conducted on a random sample of 240 pet owners.

Out of them, number of owners spoke to their pet on telephone = 79

n = 240

x = 79

\hat{p}=\dfrac{x}{n}=\dfrac{79}{240}=0.33

Our hypothesis would be

H_0:p=0.5\\\\H_1:p>0.5

Formula for test statistic would be

\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\=\dfrac{0.33-0.36}{\sqrt{\dfrac{0.36(1-0.36)}{240}}}\\\\=-0.96

p value = 0.1685

Hence, p value is 0.1685.

4 0
4 years ago
which of these probabilities values indicates an event that is unlikely to happen? -1.0, -0.3, 0.2, 0.75
Mama L [17]

Answer:

0.2

Step-by-step explanation:

A probability is from 0 (will definitely not happen) to 1 (will definitely happen).

The closer to 0, the more unlikely it is that it will happen.

Answer: 0.2

5 0
4 years ago
The larger of two numbers is 2 more than four times the smaller. Their sum is 67. Find the numbers.
harkovskaia [24]
X = 2 + 4y           
67 = x + y

67 = (2 + 4y) + y = 2 + 5y
65/5 = 13 = y
67 - 13 = x = 54.
x = 54
y = 13.
6 0
3 years ago
Select the sentence that is written informally.
alex41 [277]

Answer:

I would assume that "It's always awesome to check out new video games" is the informal sentence.

Step-by-step explanation:

Awesome is an informal word as it is a slang, words that qualify to be used formally but resemble "Awesome" include  "Astonoshing",  "Astounding", "Fabulous" and such.

7 0
3 years ago
Other questions:
  • How do you sovle -9-6x<21
    7·1 answer
  • Simplify 27/25 A. 1/7 B. 3/9 C. 3/5 D. 9/15 I will mark you as brainliest
    7·2 answers
  • Help !! Geometry <br> I need to find the measure of each angle in the figure.
    14·1 answer
  • Which of the following is value of x is in the solution set of 9(2x + 1) &lt; 9x – 18?
    6·2 answers
  • 17/18 -3/7= need answer please
    13·1 answer
  • Tony finishes baking cookies at 10:33 am he started at 7:18 am now long was he baking cookies?
    14·2 answers
  • Give the slope of a line parallel to the given line.
    10·1 answer
  • Please help me in struggling with this
    6·2 answers
  • Please answer (*´∇`*)
    11·1 answer
  • WILL MARK BRAINLIEST
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!