Find the inverse of the function.
f(x) = 16 - 1/3 x

Answers

Answer 1

Answer:

f-¹(x) = 48 - 3x

Step-by-step explanation:

f(x) = 16 - ⅓x → x = 16 - ⅓y → ⅓y = 16 - x → y = 48 - 3x → f-¹(x) = 48 - 3x


Related Questions

The art club at a community college is selling burgers at lunchtime as a fundraiser. The club spends $8 for condiments and supplies. The cost of the meat and bun for each burger is $0.65. Express the total​ cost, C, as a function of the number of burgers​made, x.

Answers

Answer:

C(x)=0.65x+8

Step-by-step explanation:

According to the information given, you can say that the total cost would be equal to the result of multiplying the cost of the meat and bun per burger for the number of burgers made plus the amount spent on condiments and supplies, which can be expressed as:

C(x)=0.65x+8, where:

C(x) is the total cost

x is the number of burgers made

How many 1/5s are in 4?

Answers

Answer:

20

Step-by-step explanation:

4÷1/5=20

5+5+5+5=20

HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER

Answers

65+3x+2x=180
5x=115
x=23

What is the area of this figure?

Enter your answer in the box.

Answers

Answer:

24

Step-by-step explanation:

Area of the 1st upright rectangle: 3x4=12

Area of 2nd rectangle: rectangle: 6x1=6

area of triangle: ((1st leg)x(2nd leg))/2=(4x3)/2=6

1st leg=4

2nd leg=6-3=3

12+6+6

24=area

Hope this helps :)

Eli built a 3-D model of a building, as shown below. Eli wrote the following calculation to find the volume.





Which is a correct description of the error Eli made while calculating the amount of sand needed to fill the model?
A. He did not include the volume of the horizontal prism.
B. He did not include the volume of the vertical prism.
C. He included the volume of where the prisms overlap twice.
D. He included the volume of the entire horizontal prism twice.

Answers

Answer:

The answer is C!

Step-by-step explanation:

C).

Answer:

Have a greattt day;)

Step-by-step explanation:

Use properties of operations to find the quotient.

Answers

option D is correct one 2 3/16

-1 1/4 ÷ 4/7

-5/4 ÷ 4/7

-5/4 × 7/4 (reciprocal)

35/16= 2 3/16

d is the correct answer

Look I begging you please help me out today last day finish this and I’m in class. (Will mark brainlest) and a Lil extra ;)

Answers

Answer:

Range: 5

mode: 19

median: 19

Step-by-step explanation:

Answer:

4) 22-17=5

5) 19

6) 19

7) 11-1=10

8) 6

Brenda’s school is selling tickets to a spring musical. On the first day of ticket sales the school sold 6 adult tickets and 9 child tickets for a total of $108. The school took in $111 on the second day by selling 9 adult tickets and 5 child tickets. What is the price of each type of ticket?

Answers

Answer:

42 dollars

Step-by-step explanation:

Math 143 flooring lab​

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Gina is wrapping gifts for her daughter's birthday how many square inches of wrapping paper does Gina use to wrap a box 3 inches 8 inches tall 14 inches​

Answers

Answer:

336 inches

Step-by-step explanation:

Which of these is an example of a random sample?
A.
Customers buying a new cell phone are surveyed about cell phone plans.

B.
A phone plan company surveys people on the beach to see how well they are receiving service, and uses this information in future advertising.

C.
Every twentieth caller to an independent radio station receives tickets to a concert.

D.
A phone survey is conducted using twenty names randomly taken from the phone book.

Answers

B I believe is a good sample

Find the lateral surface area of the net below.
-26cm
-20cm
zlom
20cm
Record your answer, be sure to use the correct place value.

Answers

9514 1404 393

Answer:

  1040 cm²

Step-by-step explanation:

The lateral surface area of the pyramid is the area of the four triangular faces. Each one has an area of ...

  A = 1/2bh

  A = 1/2(20 cm)(26 cm) = 260 cm²

Then the area of the four faces is ...

  4 × 260 cm² = 1040 cm² . . . . lateral surface area

please help ! I need help with math because I am failing and I might have to repeat the grade.. I have a quiz right now I don’t understand this question I will provide a photo above thank you <3! the question is “1” :)

Answers

Answer:

3:8

Step-by-step explanation:

first add up all the crayons

4+1+5+6

16

there are 6 green crayons so the ratio is

6:16

reduce by factor of 2

3:8

2. (3 marks) A marketing company conducted a box office study and they found the following. The probability that a husband watches the movie Toy Story is 0.4 while the probability that a wife watches the movie is 0.5. The probability that a husband watches the movie, given that his wife does, is 0.7. (a) What is the probability that a married couple watches the movie

Answers

Answer:

0.35 = 35% probability that a married couple watches the movie

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

The probability that a husband watches the movie, given that his wife does, is 0.7.

This means that [tex]P(B|A) = 0.7[/tex]

The probability that a wife watches the movie is 0.5.

This means that [tex]P(A) = 0.5[/tex]

What is the probability that a married couple watches the movie?

Both, so:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)*P(A) = 0.7*0.5 = 0.35[/tex]

0.35 = 35% probability that a married couple watches the movie

Help Please! SOS! ASAP!

Answers

Answer:

45

Step-by-step explanation:

If you write it out it will look like this, 2x+45+x=180

3x+45=180

3x+45=180

    -45   -45

3x=135

/3   /3

x=45

Answer:

x=45

Step-by-step explanation:

Straight angles/lines are equal to 180 degrees. If you add the equations together to get 180 and simplify you'll find the answer. So, start out with the equation 2x+45+x=180.

1. Add like terms. 3x+45=180

2. Subtract 45 from both sides. 3x=135

3. Divide by 3 on both sides to get x by itself. x=45

4. Just to make sure, plug in 45 for x. 2(45)+45+45=180. Sure enough, it works!

2.
It took you 30 minutes (min) to walk
from home to school with the
distance of 500 meters. What is the
average speed?​

Answers

If it’s per hour it would be 1000 m per hour

Answer:

0.27778m/s woulb be my average speed

HELP ASAP. What is the area of this trapezoid and the formula. Please explain your reason.

Answers

Answer:

base 1 + base 2 times height times half (basically dividing by 2) is the formula of a trapezoid. 25 + 35 = 60 x 21 = 1260 divided by 2 is 630

The black line is a graph of y=x. Which of these equations could represent the blue line

Answers

Answer:

third option

Step-by-step explanation:

y = 1/2 x

multplying binomals anyone know this?

Answers

Answer:

Yes I know this material.

(x+2)(x+1) x^2+x+2x+2 So the answer is x^2+3x+2 Hope this helps
you use the distribution method
i cant do all but hopefully this will help
(x+2)(x+1)
=x^2+1x+2x+2
=x^2+3x+2

(x+3)(x+4)
=x^2+4x+3x+12
=x^2+7x+12

There 12 sports drinks, 7 cans of orange juice, and 5
sodas in a cooler. If a drink is selected at random from
the cooler, what are the chances that it is not a orange
juice?
A. 1/2
B. 17/24
C. 7/24
D. 19/24

Answers

17/24
add up all the numbers together to give you 24
there’s 7 orange juice cans so subtract 7 from 24 to give you 17/24

How to add fraction 3/7+ 3/9=

Answers

[tex] \large \sf \pink{Answer: }[/tex]

[tex] \large \purple{ \boxed{ \frac{16}{21}}}[/tex]

[tex] \large \sf \pink{Explanation:}[/tex]

[tex] \sf \large{ \frac{3}{7} + \frac{3}{9}}[/tex]

[tex] \sf \large{ \frac{3}{7} + \frac{1 \times 3}{3 \times 3}}[/tex]

[tex] \sf \large{ \frac{3}{7} + \frac{1}{3}} [/tex]

[tex] \sf \large\frac{3 \times 3}{21} + \frac{1 \times 7}{21}[/tex]

[tex] \sf \large{ \frac{9}{21} + \frac{7}{21}}[/tex]

[tex] \sf \large{ \frac{(9 + 7)}{21}}[/tex]

[tex] \sf \large \purple{ = \frac{16}{21}}[/tex]

-2(3+m)=
Solve the question

Answers

The answer is -6-2m

Have a wonderful day

Solve each equation.
11. A number x divided by nine is two.

Answers

Answer:

18 is the correct answer to this

Step-by-step explanation:

18/9=2

An igloo has a circular floor with a diameter of 4 yards. What is the floor's area? Use 3.14 for π​

Answers

Step-by-step explanation:

the answer is A=12.57

A=πr^2

3.14 • 2^2 = 12.57

Plug in the point to determine if it is on the circle
(x – 3)² + y2 = 4
(5,0)

Answers

Answer:

yes

Step-by-step explanation:

(5_3)^2+2(0)=4

substitute with the 5 to x and 0 to y

You are in charge of monitoring the pressure of a compressed air tank in a processing plant. After repeating the pressure measurement a large number of times, you found that the pressure values have Gaussian distribution with a mean value of 69 psi and a standard deviation of 10 psi. If it is important that the pressure stays below 86 psi, what is the probability (in percent) that the pressure will exceed this value? (Provide your answer as a percentage using two decimal places. Do not include the % symbol in your answer)

Answers

Answer:

4.46% probability that the pressure will exceed this value.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Gaussian distribution with a mean value of 69 psi and a standard deviation of 10 psi.

Gaussian distribution = normal.

This means that [tex]\mu = 69, \sigma = 10[/tex]

If it is important that the pressure stays below 86 psi, what is the probability (in percent) that the pressure will exceed this value?

As a proportion, this probability is 1 subtracted by the pvalue of Z when X = 86. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{86 - 69}{10}[/tex]

[tex]Z = 1.7[/tex]

[tex]Z = 1.7[/tex] has a pvalue of 0.9554

1 - 0.9554 = 0.0446

0.0446*100 = 4.46%

4.46% probability that the pressure will exceed this value.

someone please help me​

Answers

Answer:

40

Step-by-step explanation:

Quadrilateral QRSU forms a euclidean kite this means PR would be 2(mST)

What is the next term of the arithmetic sequence?
-8, -14, -20,–26,

Answers

Answer:

-8, -14, -20, -26, -32, -38

Step-by-step explanation:

if we do this equation:

14 - 8 = 6

20 - 14 = 6

26 - 20 = 6  and you will do this until you get the answer you want.

so the arithmatic squence is -8, -14, -20, -26, -32, -38

How many terms are in this expression ? 9k + 4m

Answers

Answer:

2 terms

Step-by-step explanation:

A television news program asks its viewers to call in to give their opinions on an upcoming ballot question. What type of sampling method does this represent?

Answers

Answer:

This is an example of self selecting sampling

Step-by-step explanation:

This is an example of self selecting sampling because the news program is asking viewed to give their opinions. The viewers themselves have a choice of participating in the sample therefore is self selecting.

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