The equation m = 40g gives the distance in miles, m, that a car can travel using g gallons of gas. Write an equation that represents the inverse function: the gallons of gas as a function of distance in miles.

Q: Write the equation that would shift the function f(x) = x' up 2 units and left 3 units.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re…

Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x=47. Round…

A:

Q: The current, I, in amperes, flowing in an electrical circuit varies inversely as the resistance, R,…

A: To Determine: The current, I, in amperes, flowing in an electrical circuit varies inversely as the…

Q: Write an equation that expresses the statement. υ is inversely proportional to z.

A: Our Aim is to write and equation that expresses the statement u isinversely proportional to z.

Q: 3) write the equation of the translated function -6 -2 -2,

A: Given query is to find the equation of the translated function.

Q: Write a relationship for a function whose f(x) values are 3 more than the principal square root of x

A: The principal square root of x=x 3 more than the principal square root of x=3+x Hence, The function…

Q: Determine whether the equation 2x − y − 3 = 0 represents y as a function of x.

A: Given equation is 2x-y-3=0. To determine whether the given equation represents y as a function of x.…

Q: Write an equation that relates the quantities The distance s that an object falls is directly…

A: The distance a free falling object falls is directly proportional to the square of the time it falls…

Q: In an electrical circuit, the current passing through a conductor varies inversely with the…

A:

Q: The amount of time it takes mail carriers to deliver the mail in one town is inversely proportional…

A: It is inverse ratio propotional problem.

Q: Determine whether the equation x2 − y = 9 represents y as a function of x.

A: The given equation is;  x2-y=9   ...................(1)

Q: Find inverse function of  y= 4x-6

A: Given, The function y = 4x-6  We have to find the inverse function of  y = 4x-6.

Q: The cost per ounce of a drink, c, varies inversely as the number of ounces, n. Six ounces of the…

A: Given that c varies inversely with n  so, Where k=constant

Q: a) Determine an equation of the inverse of the function y = 2x² + 5. Sketch the function and it's…

A:

Q: Use the graph of f(x) = x3 to write an equation for the function

A: the graph f(x) reflected over the y-axis and then moved 2 units left and 2 units down.  So new…

Q: Write the equation of the function shown to the right.

A: According to the question, we need to calculate the equation of the function shown on the right.…

Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x=28. Round…

A: If y is directly proportional to ‘x’, then y X x If y is inversely proportional to ‘x’ , then y X 1…

Q: 41. y = x² + 2

A: Given, y = x2 +2  To, check whether a given equation in x and y, is a function or not , as y as a…

Q: Given y varies inversely as x; write an inverse variation function. y=6 when x-8

A: given that y inversely varies as x  and when x=8 ,  y=6 write inverse variaton  Also find y when x=4…

Q: Radiation machines, used to treat tumors, produce an intensity of radiation that varies inversely as…

A: Intensity of radiation=Idistance from machine=das I∝1d2at d1=3 mr , I1=62.5 milli reentgens .…

Q: The water temperature in the ocean varies inversely with the depth of the water. The deeper a person…

A: We are solving the first question and for the next question post the question again and also mention…

Q: Find a model for the Body Mass Index (BMI) of a person, given that BMI varies directly as a person's…

A:

Q: The number of minutes needed to complete a job,m, varies inversely with the number of works, w. 8…

A: Form a equation and put the give values to find the constant and solve for unknown.

Q: Can the function be represented by an equation?

A: Yes, We do not need any representation as the function is itself an equation. As, Function shows the…

Q: solve for the inverse of the function   f-1x format, please

A:

Q: Explain how you would find the inverse of a function if the function consisted of 5 points?

A:

Q: Write an equation for the parent function y = x stretched horizontally by a factor of 4 and shifted…

A:

Q: Graph the following equations and explain why they are not graphsof functions of x. y2 = x2

A:

Q: Write an equation for inverse function of m=40g

A: We have to write an equation for inverse function of m=40g Interchange m & g  Then ,

Q: The percentage of people who say they trust government in Washington "always or most of the time" is…

A: Let y be the percentage of people who say they trust government in Washington "always or most of the…

Q: Radiation machines, used to treat tumors, produce an intensity of radiation that varies inversely as…

A:

Q: Graph the following equations and explain why they are not graphsof functions of x. |y| = x

A: Let us make a table for |y|=x

Q: The length of a rectangle is 3 more than twice the width, w. Write an equation giving the area, A,…

A: Consider a rectangle of length l and width w. Given, l=2w+3 The objective is to determine the area A…

Q: The intensity of light received at a source varies inverselyas the square of the distance from the…

A: To establish the algebraic equation relating the intensity and distance and solve the numerical…

Q: What is the inverse function of this equation y=2x-5?

A:

Q: Supposed to explain why very inversely, and x=10 when y=8. Write the function and model of the…

A:

Q: While riding his bicycle, a rock becomes embedded in Joshua's tire. The equation roprosenting the…

A:

Q: Determine whether the equation 3x2 + y = 14 defines y as a function of x.

A: Consider the given equation,  3x2+y=14 A function is a special relation in which every input is…

Q: The cost of a new television is $948. If the value of the television decreases by 4.5% every year,…

A: The exponential decay function is given by y=a1-r100t where a = initial value r = rate of decay t =…

Q: The frequency, or pitch, of a musical note varies inversely with the wavelength. The speed of sound,…

A: let,  f=frequecy  w=wavelength  and proportionality constant k is k=340.2 m/s

Q: 4 (1, 3) y= 4-

A: The graph is given by To evaluate : The height of the rectangle h as a function of x.

Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x-45. Round…

A:

Q: Does the equation x2+y=100 define y as a function of​ x?

A:

Q: The pressure  of a compressed gas is inversely proportional to the volume.  If there is a pressure…

A:

Q: Give an example of an equation that will translate f(x)=e^x to the left 4 units.

A: To find: An equation  Given information: The function is f(x)=exand the translation is the function…

Q: phf (x)3x² is translated 5 units down and 7 units to the left , what would be the equation of the…

A: Concep - left/Right ,graph sifted x axis   Up/Down - graph sifted y axis

Q: The number of points p you earn in math class varies inversely to the number of hours h you spend on…

A:

Q: The number of cats in Eugene is increasing at a constant rate. Four weeks ago, the number of cats…

A: (a) Consider the increase in number of cats in four weeks is, 50000-48000=2000 Then, the rate of…

Q: The intensity of light received at a source varies inversely as the square of the distance from the…

A: Given: The intensity of light received at a source varies inversely as the square of the distance…

Q: At the beginning of​ summer, a maintenance crew refills a swimming pool at a city park. The…

A: Function: In mathematics, a function is a relation between two sets that relates each element of the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.