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
Bogdan [553]
3 years ago
6

Khan Academy

Mathematics
1 answer:
zvonat [6]3 years ago
7 0

Part 1

Answer: -9

---------------------------

Explanation:

Let's focus on evaluating   first. We need to look at the table and locate f(x) = 13. So we're looking in the f(x) row where 13 shows up. That's in the second to last column. Right above that we have x = 5

This means f(5) = 13 and   The inverse undoes the f(x) function. So the input x and output y values swap places. This is why we're reading the table in reverse.

<em>We can replace all of </em>f^{-1}<em> </em>(13)<em>  with 5 to go from </em>f^{-1} (f^{-1} (13))<em> to </em>f^{-1} (5)<em> </em>

<em>Then we repeat the process of using the table. Locate 5 in the f(x) row. This is in the last column. The value above that is x = -9.</em>

<em>So f(-9) = 5 and </em>f^{-1} (5)=-9

<em>Overall, </em>f^{-1} (f^{-1} (13))=-9

===============================================

Part 2

Answer:  -13

---------------------------

Explanation:

Same idea as before. Locate 8 in the f(x) row. The value above this is x = -13

<em>This means f(-13) = 8 and </em>f^{-1}(8) =-13

You might be interested in
Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.
Anna007 [38]

ANSWER

36√3 square units.

EXPLANATION

The area of a parallelogram is obtained by multiplying the base by the height.

We use the sine ratio to obtain the height.

\sin(60 \degree)  =  \frac{h}{6}

h = 6 \sin(60 \degree)

h = 3 \sqrt{3}

The area becomes:

12 \times 3 \sqrt{3}  = 36 \sqrt{3} {units}^{2}

4 0
3 years ago
If the angles of a triangle are 10 45 and 23 what is the perimerter of the triangle
djverab [1.8K]

Answer:

No Solutions

Step-by-step explanation:

In a triangle, the sum of the angles has to be 180 degrees. It also is impossible to find the length of sides without at least one side, since the range of lengths is practically infinite. There are no solutions to this problem.

3 0
2 years ago
A mug is 1/8 full. The mug contains 1/6 of a cup of water. Find the capacity of the mug. Write the answer as a fration or mixed
Andre45 [30]

Answer:

The capacity of the mug = 1\frac{1}{3} cups

Step-by-step explanation:

Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.

To find - Find the capacity of the mug. Write the answer as a fraction or mixed number

Proof -

Let the capacity of water = x

Given that,

A mug is \frac{1}{8} full of water

⇒Total cups of water in the mug = \frac{1}{8} x

Now,

Given that, The mug contains \frac{1}{6} of a cup of water.

∴ we get

\frac{1}{8} x =  \frac{1}{6}

⇒x = \frac{1}{6} × 8

     = \frac{8}{6}

     = \frac{4}{3} = 1\frac{1}{3}

⇒x = 1\frac{1}{3}

∴ we get

The capacity of the mug = 1\frac{1}{3} cups

8 0
3 years ago
Describe in words how the two quantities in each table are related.
Vilka [71]
Do you have a pic of what ur asking
7 0
3 years ago
According to the Centers for Disease Control, about 18% of adolescents age 12-19 are obese. Suppose we take a random sample of 3
ivann1987 [24]

Answer:

the sampling distribution of proportions

Step-by-step explanation:

A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions

6 0
3 years ago
Other questions:
  • F=9/5(k-273.15)+32 what is F?
    9·1 answer
  • How can I create a sine graph that has a period of 2π and an amplitude of 3?
    9·1 answer
  • Can someone help me with these two questions please??
    6·1 answer
  • The product of 9 and sum of a number x and 12
    11·1 answer
  • In a survey of 800 students,
    10·1 answer
  • 3³ - (4)(2) find da value or die mwaha
    10·1 answer
  • Add 3 and 7. then multiply by 3.
    10·2 answers
  • An airplane travels 6200 kilometers against the wind in 8 hours and 6840 kilometers with the wind in the same amount of time. Wh
    8·1 answer
  • Part 5: Identify key features and graph a hyperbola from general form.
    6·1 answer
  • Find the value of x and y that satisfies both the equaties x/y= 2/3 and y/24=3/4
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!