81 Answered Questions for the topic Rational Functions
How long will it take to drain the pool once it is filled and only the drain valve is opened?
Emmanuel was told that his pool will fill through an inlet valve in 12 hours. He knew something is wrong when the pool took 20 hours to fill. He found he had left the drain valve open. How long... more
Rational Functions Math
Rational function equation help
A function of the form y=a/bx+c has a y-intercept of -2/5, a vertical asymptote of x=2.5determine the equation of this function.
How can a rational function switch between positive and negative intervals without an x-intercept? Why is this an important factor to think about when solving an inequality?
How can you create a function based on the given features: a vertical asymptote at y=2, a horizontal asymptote at x=3, a y-intercept at (0, -4/3) and an x-intercept at (-2,0)?
Rational Functions Task
Each summer, Coach Drummond runs a lacrosse camp for players from around the state. The amount that she charges per player is just enough to pay the expenses. The fixed cost of running the summer... more
describe the transformations of f(x) from the parent function g(x)=1/x
Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -6 x-intercepts at x = -5 and x = 3 y-intercept at 7
Write an equation for a rational function with:Vertical asymptotes at x = 4 and x = -6x-intercepts at x = -5 and x = 3y-intercept at 7
How are rational functions similar to linear, quadratic, or exponential functions? How are they different? When are these similarities or differences important when looking for intersections... more
Rational Functions Calculus
if y varies directly as x and y=18 when x=24, find x when y =15
How much fencing to buy to make a square holding pen with a 5.5 foot gap (gate). The length of fencing, f, in feet is directly proportional to the square root o
Write an equation that models the length of fencing in terms of the area, A, in square feet.What is the domain of the function for length? Explain your answer.Graph the function from an area of 0... more
Cost to print files varies directly with number of copies. If it costs $45 to print 750 copies, what will be the total cost for 120 copies?
this is a rational function question that deals with direct variation.
Please help with this word problem. I'm not understanding this concept and I have to show all of the work.
Suppose x and y vary inversely, and y = 10 when x = 4. Write a function that models the variation (1pt.). Then find y when x = 90 (1pt.). Thank you
Can i have help with these 2 Algebra 2 problems?
Been trying to solve these 2 but have been struggling with it. Here they are: 1.) (3x)/(2(x+9)) + (x-4)/(x+3) -------------Simplify the expression. 2.)(x-7)/(x^2-8x+15) - (9(x-3))/(x^2-25)... more
Write a function y=f(x) that gives the time y, in hours, that it takes steve and sally to paddle to elk Island. Hint: use the formula d=rt
Steve and Sally went canoeing on Red river on a day when the current flowed at 3mi/h. They left at 8:30 A.M and paddled upstream until they reached Elk Island, where they stopped to have lunch.... more
I got a test question that was asking me to find the x intercept of the function (8-4x)/(x^2-6x+8)
I know that you can solve for the x intercept by solving the numerator, but when I did that and got 2, it said the correct answer was that there was no x intercept. Can someone explain this to me... more
Rational Functions Range
What is the range of r(x) = 4x^2/ x^2 − 2x − 3
I just need to know what the range of this equation is.
How to find the inverse of a rational function when the polynomials are higher than degree 1?
f(x) = (3x) / (x2 + 1). Show that f-1(x) = (6 - 3x2) / (x2 + 2)2
A rational function g(x) is such that g(x) = f(x) wherever f(x) is defined. Find the value of a and b.
f(x) = (2x-2)/ x2+x-2 g(x) = a/ b+x
Worded indicies problem- Find temperature of liquid
When a liquid is placed into a refrigerator, its temperature T°C at a time t minutes is given by the formula T=T*10^-kt The temperature is initially 100°C and drops to 40°C in 5 minutes. Find... more
Solve a rational function, find intercepts , domain , and asymptotes of 2(x-2)(x+1)/(x-3)(x+5)
Need this to graph please have no idea , need all intercepts, asymptotes and domain
HELP ASAP!!!! PLEASE! Solving Rational Equations!!!
We're solving rational equations and we get extra credit if we have this problem answered by tomorrow! x+5/x^2-6x-27+x-17/x^2-18x+77=x+1/x^2-14x+33 Please include all of your work! My... more
Find the domain of the rational function.
Find the vertical, horizontal and oblique asymptotes.
What is the wind speed?
An airplane makes a 990-mi flight with a tail wind and returns, flying into the wind. The total flying time is 3h 20min, and the plane's airspeed is 600mph. What is the wind speed?