What is the inverse of function f?

What Is The Inverse Of Function F?

Answers

Answer 1

Answer:

3 - 7x

Step-by-step explanation:

Given ,

=> f(x) = 3 - x / 7

Let f(x) = y

=> y = 3 - x / 7

Interchange x and y .

=> x = 3 - y /7

Solve for y .

=> 7x = 3 - y

=> y = 3 - 7x

=> f-¹(x) = 3 - 7x


Related Questions

The sum of 9 times a number and 7 is 6

Answers

Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

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PLS HELP ASAP
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2003, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2011, rounded to the nearest whole number. (please include work)

PLS HELP ASAPThe number of newly reported crime cases in a county in New York State is shown in the accompanying

Answers

The projected number of newly reported crime cases in the New York county in 2011, found using linear regression is 703 newly reported crime cases

What is a linear regression?

A linear regression models the relationship between a scalar quantity and other explanatory variables, using a linear approach.

The linear regression equation is presented as follows;

y = a + b•x

Where;

\( \displaystyle{ b = \frac{ \sum (x - \bar x) \times (y - \bar y)}{ (x - \bar x)^{2} } }\)

\( \displaystyle{ a = \frac{ \sum (y ) + b \times \sum (x)}{ n } }\)

\( \displaystyle{ \bar x}\) =(0+1+2+3)/4 = 1.5

\( \displaystyle{ \bar y}\) =(994+946+928+880)/4 = 937

\( \displaystyle{ \sum x}\) =(0+1+2+3) = 6

\( \displaystyle{ \sum y}\) =(994+946+928+880) = 3748

n = 4

Using the statistics function of a graphing calculator, under Scatter plot, plot type, we have;

y = 991 - 36•x

Which gives;

b = -36

a = 991

From the given parameters, we have;

x = The number of years since 2003

y = The number of newly reported crime cases

Required;

The number of projected new cases in 2011

Solution;

In 2011, x = 2011 - 2003 = 8

Which gives;

y = 991 - 36×8 = 703

The number of newly reported crime cases in 2011 is 703

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To calculate the interquartile range, Daniel subtracts the highest and lowest number within a given dataset. Is this method correct?​

Answers

Daniel's method is incorrect, as the interquartile range is given by the difference between the third quartile and the first quartile.

What is the interquartile range of a data-set?

The interquartile range of a data-set is by the difference of the 75th percentile(Q3) by the 25th percentile(Q1) of the data-set.

The quartiles are described as follows:

Q3: Median of the upper half of the data-set.Q1: Median of the lower half of the data-set.

From this, we get that the quartiles are related to the median of the set, that is, neither is given by the highest and by the lowest values, hence the interquartile range is given by the difference between the third quartile and the first quartile.

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What is a polynomial class 7?

Answers

The polynomial which has a degree of  7 can be known as a polynomial of class 7.

Polynomials are expressions containing of variables and constants. The variable having the highest power forms the degree of the polynomial.

The degree of a polynomial with one variable is known as the highest exponent power of that variable in the mentioned polynomial.

Finding the degree of a polynomial with more than one variable is a simple task , as adding the exponents of each variable in the supplied terms and then determining which term has the highest degree. That is the polynomial's degree.

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(0.4y - 3)/(1.5y + 9) = -7/5

Answers

Answer:

y = -3.84.

Step-by-step explanation:

(0.4y - 3)/(1.5y + 9) = -7/5

Cross multiply:

2y - 15 = -10.5y - 63

12.5y =  -48

y = -3.84

Q5.
Express 56 as the product of its prime factors.

Answers

Answer:

2³×7

Step-by-step explanation:

The answer to this question is attached above. Hope this helps and please give brainlist!

Q5.Express 56 as the product of its prime factors.

suppose that some country had an adult population of about 46 million, a labor-force participation rate of 75 percent, and an unemployment rate of 8 percent. how many people were unemployed? question 23 options: 2.54 million 2.76 million 3.68 million 8 million

Answers

Answer:

31.74 million

Step-by-step explanation:

20 + g + g = 14 solve for G pls add an equation if necessary

Answers

Answer:

g = - 3

Step-by-step explanation:

20 + g + g = 14 , that is

20 + 2g = 14 ( subtract 20 from both sides )

2g = - 6 ( divide both sides by 2 )

g = - 3

Answer:

Step-by-step explanation:

20+g+g=14 we can make this into

20+2g=14 our job is to single out g to find the value of one g so subtract 20 from both sides

20+2g=14

-20      -20

2g=-6 divide both sides by 2 to get the value of one g

÷2   ÷2

g=-3

Which of the following is true of a quasi-experiment?

Group of answer choices

We can balance participant variables between groups in a quasi-experiment.

In a quasi-experiment, the researcher assigns participants to conditions based on the particpant’s preexisting level of the independent variable.

In a quasi-experiment, the researcher randomly assigns participants to groups.

A quasi-experiment allows us to infer causality more accurately.

Answers

The  true statement about the quasi-experiment is , the researcher assigns participants to conditions based on the participant's preexisting level of the independent variable.

In a quasi-experiment, the researcher assigns participants to conditions based on the participant's preexisting level of the independent variable. However, unlike a true experiment, a quasi-experiment cannot control for all possible confounding variables and may not allow for the balancing of participant variables between groups. Therefore, while a quasi-experiment can provide some evidence of causality, it may not be as accurate as a true experiment in this regard.

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In a quasi-experiment, the researcher assigns participants to conditions based on the participant’s preexisting level of the independent variable.

A quasi-experiment is a research design that lacks the control of random assignment to groups. Instead, the researcher assigns participants to conditions based on pre-existing levels of the independent variable. This means that the groups may not be equivalent at the outset, and there is a greater risk of confounding variables affecting the results.

Therefore, we cannot balance participant variables between groups in a quasi-experiment, nor can we randomly assign participants to groups. While quasi-experiments can provide valuable information, they do not allow us to infer causality more accurately than other research designs.

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ASAP HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Haley fills a balloon with water until it becomes a sphere with a diameter of 5 centimeters. Approximately, how much water does the balloon contain? Use 3.14 for .

A. 26.17 cubic centimeters

B. 65.41 cubic centimeters

C. 523.33 cubic centimeters

D. 104.67 cubic centimeters

Answers

Answer:

523.33 cm³

Step-by-step explanation:

Volume of sphere is given by the formula :

V = (4/3)×pi×r³

= (4/3)×3.14×125

= 523.33 cm³

The surface of the area of a cylinder is 372pi square centimeters the radius is 6 cm what is the height of the cylinder

Answers

If the surface of the area of a cylinder is 372π square centimeters. Then the height of the cylinder is 31 centimeters.

What is the surface area of a right circular cylinder?

Let r be the radius and h be the height of the cylinder. Then the surface area of the cylinder will be given as,

SA = 2πrh square units

The surface of the area of a cylinder is 372π square centimeters the radius is 6 cm. Then the height of the cylinder is given as,

SA = 2πrh

372π = 2π x 6 x h

h = 372 / 12

h = 31 centimeters

The height of the cylinder is 31 centimeters.

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help plz , i don't know how to find it

help plz , i don't know how to find it

Answers

Answer:

y = 2x + 4

Step-by-step explanation:

y = mx+b

m represents the slope, and b is the y-intercept

The slope is 2 as it's going up 2 unit squares each time, and the b is 4 because that's where the y-axis gets intercepted.

so the answer is y = 2x + 4

Answer:

Hii have a another app thatcan helpyouu can download mathscanner hope ithelps

f(x) = x² + 3x – 4 if x = 5a

Answers

Answer:

Step-by-step explanation:

f(5a) = (\(5a)^{2}\) + 3× 5a - 4

Let P(A)=47 and P(B|A)=38. What is the probability of events A and B occurring? Enter your answer in the box as a fraction in simplest form.

Answers

The value of the probability is 3/14

How to solve the probability?

The given parameters are:

P(A) = 4/7

P(B | A) = 3/8

The probability of events A and B occurring is calculated using:

P(A and B) = P(B | A) * P(A)

So, we have:

P(A and B) = 3/8 * 4/7

Evaluate the product

P(A and B) = 3/14

Hence, the value of the probability is 3/14

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Ammy wrote 66 as an expression equivalent to (62)4 . Her math partner writes 68. Who is correct? Why?

Ammy wrote 66 as an expression equivalent to (62)4 . Her math partner writes 68. Who is correct? Why?

Answers

Answer:

Ammy is correct

Step-by-step explanation:

Ammy's math partner is correct.

Applying the "power of power rule" of exponents, if we have numbers raised by another number, what is needed to be done is to simply multiply the powers.

Thus: \( (x^a)^b) = x^{a*b} = x^{ab} \)

Applying this rule, the equivalent expression to \( (6^2)^4 = 6^{2*4} = 6^8 \).

Therefore, Ammy's math partner is correct, while Ammy is wrong.

how many terms are in an arithmetic sequence whose first term is 6, the common difference is -3 and the last term is -45

Answers

12 terms are in an arithmetic sequence.

What comprises an arithmetic series?

A group of integers that are arranged in a particular order and share a difference between each term is known as an arithmetic sequence.

            For instance, the common difference between the numbers 3, 9, 15, 21, and 27 in mathematics is 6. The term "arithmetic progression" can refer to an arithmetic sequence.

a = 6,

d = -3,

last term, l = -45

a + (n - 1)*d

45 = a + (n - 1)d

45 = 6 + (n -1)-3

45 - 6 = -3(n - 1)

39 = -3(n - 1)

-3(n - 1) = 39

n - 1 = -39/3

n - 1 = -13

n = -13 + 1

n = - 12

There are 12 terms.

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ABC is an isosceles triangle
Please can someone help

ABC is an isosceles triangle Please can someone help

Answers

Answer:

Base angles in an isosceles triangle are equal.

Angle in triangle adds to 180

Triangle BADB

180- 72=108

108/2=54

Angle BAB And BDA is 54

Angle on straight lines adds to 180

180-54=126

Angle BDC is 126

180-126=54

54/2 =27

Angle DBC and DCB is 27

Now forget line BD exist, creating triangle ABCA and with the values you've found, use it to see if all angles adds up to 180.

DBC is 27 adds to 72. Add this to angle BAD (54) and BCD (27)

27 +72=99

54+27=81

99+81=180

A baker has a bar of chocolate that weighs 4/6 of a pound. He wants to divide it into portions that weigh 1/4 of a pound. How many
portions will he have? Choose ALL correct ways to show or explain the quotient.

Answers

Answer:

2 2/3

Step-by-step explanation:

4/6 / 1/4 = 2/3 * 4/1 = 8/3 = 2 2/3

He will have 2 2/3 portions.

a spinner with three equal-sized sections marked A,B, and C is spun 100 times. the result of the experiment are shown in the table what is the experimental probability of landing on A on C

Answers

The experimental probability of landing on A is 0.3 and the experimental probability of landing on C is 0.4.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To find the experimental probability of landing on A or C, we need to add up the number of times the spinner landed on A and C, and then divide that by the total number of spins.

From the table, we can see that the spinner landed on A 30 times and on C 40 times. Therefore, the total number of times the spinner landed on either A or C is:

30 + 40 = 70

So the experimental probability of landing on A or C is:

70/100 = 0.7

However, we need to find the experimental probability of landing on A or C separately. To do that, we need to divide the number of times the spinner landed on A or C individually by the total number of spins:

Experimental probability of landing on A = 30/100 = 0.3

Experimental probability of landing on C = 40/100 = 0.4

Therefore, the experimental probability of landing on A is 0.3 and the experimental probability of landing on C is 0.4.

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What does rational and irrational mean?

Answers

Answer:

below

Step-by-step explanation:

Rational means a number with a decimal that does not go on forever or a decimal that can written as a fraction.

An irrational number is a number that cannot be written as a fraction and the decimal goes on forever.

Best of Luck!

4 people can stay at a hotel for a week for 42£. Find the hotel cost bill for 3
people for a week?

Answers

Answer:

31.5

Step-by-step explanation:

divide 42 by 4 you would get 10.5, then multiple 10.5 by 3 and you would get 31.5 thats the answer

Four lines are drawn on a coordinate plane to form trapezoid wxyz. Which statements are true about the lines? Select three options

Answers

The statements that are true for Trapezoid WXYZ are:

Line WZ has the same slope as line XY.Line XW has a lesser slope than line YZ.Line ZW has the same y-intercept as line WZ.Line XY has a greater y-intercept

How to Interpret Line Coordinates?

We are told that;

Shape is a trapezoid WXYZ.

Now, In a trapezoid, one pair of opposite sides are parallel and parallel lines have the same slope.

Lastly, the slope of line parallel to x axis is 0 and so If the line starts at the bottom left and goes towards the top right it has negative slope. Thus, all the statements that are true for Trapezoid WXYZ are:

Line WZ has the same slope as line XY.Line XW has a lesser slope than line YZ.Line ZW has the same y-intercept as line WZ.Line XY has a greater y-intercept

Complete question is;

Four lines are drawn on a coordinate plane to form trapezoid WXYZ. Which statements are true about the lines? Select all that apply.

Line WZ has the same slope as line XY.

Line YX has a greater slope than line ZY.

Line XW has a lesser slope than line YZ.

Line ZW has the same y-intercept as line WZ.

Line XY has a greater y-intercept than line XW

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find the volume of a pyramid with a square base, where the area of the base is 4.6 cm 2 4.6 cm 2 and the height of the pyramid is 2.3 cm 2.3 cm. round your answer to the nearest tenth of a cubic centimeter.

Answers

The volume of pyramid is 3.5 cm³.

To find the volume of a pyramid with a square base, where the area of the base is 4.6 cm² and the height of the pyramid is 2.3 cm, we can use the following formula:

V = (1/3)B*h

Where V is the volume of the pyramid, B is the area of the base, and h is the height of the pyramid. Substitute the given values into the formula and solve:

V = (1/3)(4.6)(2.3)V = 3.53 cm³

Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is 3.5 cm³. Therefore, the volume of pyramid is 3.5 cm³.

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question which system of equations models the following problem if x represents the number of angelfish yves bought and y represents the number of parrotfish he bought? yves bought 420 tropical fish for a museum display. he bought 6 times as many parrotfish as angelfish. how many of each type of fish did he buy?

Answers

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

Calculation:

x + y = 420; y = 6x

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

How well-versed are you in fish size?

The smallest and largest fish range in size from 1 cm to 18 m. 18 m then equals 18 x 100 or 1800 cm. ∴ The length of large fish exceeds that of little fish by 1800 times.

How many parrotfish purchased by Carlos?

The number of parrotfish Carlos purchased is represented by the variable y, whereas the number of angelfish Carlos purchased is represented by the variable x.

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Please help


farmer planted corn in two different fields. He planted 500 seeds of regular corn in Field A and 500 seeds of experimental corn in Field B. At harvest time, more ears of corn had grown in Field A than in Field B. The farmer concluded that more corn grew in Field A because of the type of corn planted.

Choose ,begin emphasis,two,end emphasis, other possible variables that could have caused more corn to grow in Field A.
Answer options with 5 options
A. the type of soil in the field
B. the cost per ear of the corn
C. the flavor of each type of corn
D. the amount of sunlight in each field
E. the amount of corn planted in each field

Answers

Answer:

1. More pollination processes in the regular corn planted in field A than in field B.

2. Low pest and insect attack on corn planted in field A compared to B.

1. Pollination is the process in which a plant becomes fertilized, so as to produce seeds. The process requires some agent which could be; air, the human, wind, etc.

Therefore more pollination of the corn planted in field A than those in B would lead to more yield (ears of corn harvested) than that of B.

2. Pests and insects are agents which could reduce the yield of corn after harvest. Comparing the two fields A and B, if the corn planted in field A were not affected by pests or insects, while those planted in B were affected, then more ears of corn would be harvested in field A.

Final Answer = it's a and d obviously the price of the corn doesn't make the corn be planted differently.

Step-by-step explanation:

Answer:

A. The type of soil in the field is a potential variable that could have affected the amount of corn growth in Field A. Different soil types can provide varying levels of nutrients and moisture to the plants, which could have contributed to the observed difference in corn growth between the two fields.

D. The amount of sunlight each field received is another potential variable that could have impacted the amount of corn growth in Field A. Corn plants require a certain amount of sunlight to thrive, and it is possible that Field A received more sunlight than Field B, leading to greater corn growth in the former.

Use grouping symbols (parentheses) to make 9 + 3-2 +4 equal 6. Which expression below is true?
O9+(3-2) + 4 = 6
O9+3-(2 + 4) = 6
O (9+3)-2+4=6
O (9+3-2) + 4 = 6

Answers

Answer:

the second answer

Step-by-step explanation:

because 19+3 is equal to 12, therefore we substrate by the number we got from 4+2 which is 6, so it will be 12-6 which is equal to 6 ,

Question is in the picture

Question is in the picture

Answers

Answer:

1/4

Step-by-step explanation:

A school band has several students. ¼ play a brass instrument. ⅔ of those students play the trumpet. What fraction of students play the trumpet?

Answers

The fraction of the students that played the trumpet is 1/6

How to calculate the fraction of students that played the trumpet?

The school band has several students

1/4 play a brass instrument

2/3 of those students play the trumpet

Therefore the fraction of students that paly the trumpet can be calculated as follows

1/4 × 2/3

= 1/6

Hence the fraction of students that play the trumpet is 1/6

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∠A and ∠B are vertical angles. If m∠A=(5x+5)∘and m∠B=(4x+29)∘, then find the measure of ∠A.

Answers

Answer:

∠A = 175∘

Step-by-step explanation:

∠A = ∠B

5x-5= 4x+29

x = 34

∠A= 34*5+5

∠A=170+5=175

5x+5= 4x + 29

-5        

5x=4x+24

-4x -4x

x=24

m∠A=5x+5

m∠A=5(24)+5

120+5

Answer=125

whats the percentage of the object shaded?

whats the percentage of the object shaded?

Answers

Answer:

50%

Step-by-step explanation:

1/4 + 1/4 = 1/2 = 50%

:)

The answer is 50 because there is half and 50 is half of 100
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