Basic Math question and answers for October 27, 2024
- Q Given the function f(x) =6x^4 - x + x - 42x + 7.There are real zerosThere are x interceptsThere are turning points
- Q A regression equation of y = 0.923x + 37.047 is found that gives the yield of bushels of oats per acre () given an amount of rainfall (X). Using the...
- Q A particular curve is represented parametrically byx = 3t+1, y = t-4, for t ? [-1,3].(a) What is the corresponding Cartesian equation for this curve (the equation in x and...
- Q In a certain country, income tax is assessed by people not having to pay a tax if they make $15,000 per year or less, people having to pay a 12%...
- Q 10. Marty was renting a boat and wanted to get the best plan. Rental plan A charges a fee of $50 plus $25 per hour. Plan B charges a fee...
- Q Kristin's grandparents started a savings account for her when she was born. They invested $500 in an account that pays 8% interest compounded annually. a. Write an equation to model...
- Q Rewrite the exponential functionh(z) = 5/3 2^x3^x+1in the form h(z) = A B^xA=B =The y-intercept is the point(,)
- Q Which of the following is true of an even function?It is symmetric about the x-axisThe function f (x) = 0 is and odd function but not an even functionIt can't...
- Q Find the formula for an exponential function of the form f(x) = A. B^x that passes through the points (2, 125) and (4, 3125). f(x) =
- Q If f(x) is a rational function, what is one way to find the solution to f(x)=4 graphically? Choose the correct answer below. A. Find any x-intercepts. The x-coordinates of these...
- Q If the price of a camping vacation can be expressed as a function of the number of nights, what does the inverse function represent?Number of nights as a function of...
- Q Shana is climbing a mountain at a constant pace. She rises in elevation by 17.5 feet per minute. After hiking for 30 minutes, a GPS app tells her that her...
- Q The x-intercepts of the quadratic equation y = -x+bx+c are (1-?18,0) and (1+?18,0).(a) Graph the quadratic equation using the information above.(b) Use your graph from (a) to find all solutions...
- Q 6Element X decays radioactively with a half life of 5 minutes. If there are 390 grams of Element X, how long, to the nearest tenth of a minute, would it...
- Q A museum charges $7 per person for a guided tour with a group of 1 to 11 people or a fixed $84 fee for a group of 12 or more...
- Q How many real roots does the quadratic function h(x) = 4x - 12x +9 have?012
- Q Domain and RangeThe function f(x) is defined as a set or ordered pairs. Using that set of data, identify the Domain andRange of f(x).Write your answer as an ordered list...
- Q Which of the following are one-to-one functions?-S = {(-5, 8), (-3,-7), (9,- 6), (1,7), (8, 3), (1,6)}OR={(-5, 4), (2, 1), (5, 4), (9, 7), (10, 13), (14, 15)}OF = {(-4,...
- Q A cooler has a temperature of 32 degrees Fahrenheit. A bottled drink is placed in the cooler with an initial temperature of 70 degrees Fahrenheit. The function f(t) = Ce^(-kt)...
- Q Jocelyn is going to the amusement park, where she has to pay a set price of admission and another price for tickets to go on each of the rides. The...
- Q Transformthe given function f(x) asdescribed and write the resulting function asan equation.3) f(x)= xexpand vertically by a factor of 3reflect across the x-axistranslate left 2 unitstranslate up 3 unitsg(x) =...
- Q What effect does replacing x with x + 6 have on the graph for the function f(x)?f(x)= ?x+3?-2The graph is shifted left 6 units.The graph is shifted right 6 units.The...
- Q Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of the rational function. State the domain of f. f(x)= 1-2x/4x+1 Identify any vertical asymptotes. Select the...
- Q At the beginning of a population study, a city had 380,000 people. Each year since, the population has grown by 4.1%. Let t be the number of years since start...
- Q Graph the function, f(x)=1/4 |2x| - 1Use the Ray tool to graph the function as two rays with endpoints at the vertex of the graph.
- Q Tablet Computers Annual sales (in millions of units) of a certain brand of tablet computers are expected to grow in accordance with the function f(t) = 0.18t + 0.16t+ 2.64...
- Q Medical researchers measured the populations of bacteria in a petri dish after treatment with the new antibiotic as well as in a petri dish that was untreated. The graph above...
- Q Charlie worked for a stone setting company this past summer. He earned $50 just forcoming to work and an additional $30 every hour for each hour he worked. The linear...
- Q First find f+g, f-g, fg and f/g. Then determine the domain for each function.f(x) = 4x-8, g(x)=x+3(f+g)(x) = (Simplify your answer.)
- Q Use the linear fit of the data to make the required predictions. 4. The boiling point of water is lower at higher elevations because of the lower atmospheric pressure. The...
- Q 6x + 7X-2'Find an equation for f(x), the inverse function.The function f(x) =x*2, is one-to-one.f(x) = ?x #6(Simplify your answer. Use integers or fractions for any numbers in the expression.)
- Q A manufacturer has total revenue given by the function R(x) = 5.80x and has total cost given by C(x) = 1.80x + 76 where x is the number of units...
- Q For f(x) = 10/x and g(x) =10/x , find the following functions.a. (fog)(x); b. (gof)(x); c. (fog)(6); d. (gof)(6)a. (fog)(x) =
- Q Let the functions f and g be given by the equations on the right. Evaluate the indicated function without finding an equation for the function. f(x) = 3x - 1...
- Q The average high temperature each month in a calendar year for a city in South Carolina is represented by the function f(x) = -x + 13.3.x + 42, where x...
- Q The monthly cost of a certain long distance service is given by the function C(t) = 0.05t + 7.95 where c(t) is in dollars and t is the amount of...
- Q Given f(x) = 5x+5 and g(x)=2x, first find f+g, f-g, fg, and f/g. Then determine the domain for each function.(f+g)(x) =... (Simplify your answer.)
- Q A water balloon was launched into the air from the top of a hill 38 feet above ground. The balloon's path is represented by the equation h(t) = -16t +...
- Q Assume that a DVD loses 60% of its value every year it is in a video store. Suppose the initial value ofthe DVD was $80. B-46 HW eTool (Desmos). Homework...
- Q The Freedom Tower in New York City is 1776 feet tall. The equation f(t) = -16t + 1776 models theheight f(t) (in feet) of an object t seconds after it...
- Q A can of soda is placed inside a cooler. As the soda cools, its temperature C() in degrees Celsius after f minutes is given by the following exponential functionc(t)=23(0.93)Find the...
- Q Let f be the function whose graph is obtained by translating the graph of y =a. Write an equation for f(x) as a quotient of two polynomials.b. Determine the zero(s)...
- Q Evaluate the function f(x) = 6x +1 at the given values of the independent variable and simplify.a. f(-6) b. f(x+4) c. f(-x)a. f(-6)= (Simplify your answer.)
- Q The function P(m) = 2m represents the number of points in abasketball game, P, as a function of the number of shots made, m.Given that the number of shots made...
- Q 17. The half-life of the radioactive element plutonium-239 is 25,000 years. If 16 grams ofplutonium-239 are initially present, how many grams are present after: (round youranswer to the nearest hundredth)Find...
- Q Refer to functions n and p. Find the function and write the domain in interval notation. Write any number in the intervals as an integer or a simplified fraction.n(x)=x+1p(x)=x-8x
- Q If the X-intercepts of a quadratic graph are 3 and-5, which equation below best represents the graph? y = (x ? 3)(x + 5)y = (x ? 3)(x - 5)y...
- Q When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula f(t) = 0.5t - 0.21t^0.4+ 13, where t is the time...
- Q For f(x)=x +5 and g(x)=x-9, find the following functions.a. (fog)(x); b. (gof)(x); c. (fog)(4); d. (gof)(4)
- Q The growth of bacteria makes it necessary to time-date some food products so that they will be sold and consumed before the bacteria count is too high. Suppose fora certain...
- Q The logistic growth model P(t)=270/1+26e^-0.1681 represents the population of a species introduced into a new territory after t years When will the population be 60?A. 10.44 yearsB. 0.03 yearsC. 11.94...
- Q A plane loses altitude at the rate of 5 meters per second. It begins with an altitude of8500 meters. The plane's altitude, A, is a function of the number of...
- Q Select the expression below that properly sets up the partial fraction decomposition for the following rational expression:(x + 3)/(x + 9x)Select the correct answer below:A/x + B/x + 9A/x +...
- Q 6. After exercising, your heart rate can be modeled by R (t) = 151 e^-0.055t where 0 ? t ?15 and t is the number of minutes that have elapsed...
- Q Suppose that the concentration of a bacteria sample is 30,000 bacteria per milliliter. If the concentration triples in 4 days, how long will it take for the concentration toreach 45,000...
- Q Sketch the curve given by the set of parametric equations.X=t+4y=t/5+8
- Q World consumption of a certain metal is running at the rate of 346e^0.02t thousand metric tons per year, where t is measured in years and t = 0 corresponds to...
- Q A state's income tax for a single person in a recent year was determined by the rule below, where x is the person's taxable income.0.04x,if0?x?6000h(x)=240+0.05(x - 6000), if 6000 ?x<...
- Q Brianna purchases a car. The value of the car is modeled by the function 25000(0.92)^t. Which statement below best describes the value the base 0.92? The car that Brianna purchased...
- Q (1 pt) Find the critical points for the functionf(x, y) = x+y - 3x - 12y + 2and classify each as a local maximum, local minimum, saddle point, or none...
- Q The parent function f(x) = x is vertically compressed by a factor of and translated 11 units left and 5 units down.There is no correct answer given.g(x) = 2(x+11) -...
- Q Solve the system of nonlinear inequalities by graphing each inequality and shading the overlapping region. Determine if the given point is a solutions to the system. That is, is the...
- Q A certain skincare company's profit in millions of dollars, P(t), can be modeled by the polynomial function P(t) = -3 + 12t2 + 3t, where t represents the number of...
- Q An artifact was discovered by an archeologist, who intially estimated it to be about1500 years old. Than, after carbon-14 analysis was completed, it was determinedthat the carbon-14 contained in the...
- Q Since the year 2005, defense spending (in millions of dollars) in the country ofWarpeas can be approximately represented by the function:A(t) = 1.34e^0.11tFind the amount of defense spending in 2005...
- Q The function below gives the body concentration, in parts per million, of a certain dosage of medication after 't' hours. Find the horizontal asymptote and interpret what it means. y(t)...
- Q Using the given cost function C(x) = 2850 +410x + 1.4x2, where C is total cost and is the number of units produced.The demand function p(x) = 1230, where p...
- Q The fox population in a certain region had a relative growth rate of 6.5% per yearsince 1985. The population in 1985 was 450 foxes. Using the exponential growthmodel, find the...
- Q A. Post your polynomials, f(x) and g(x), and submit screenshots ofyour organized calculations. Answer the followingquestions: Why did you choose themethod you used to solveg(-2)? Can you think of any...
- Q Suppose that a function f is odd over it's domain (-?,?) and that f(-3)=5 is a local maximum. Which of the following statements must be true?A. f(3) = -5 is...
- Q Choose the definition below that best describes what ischanged in the graph by changing the value of C in theequation f(x) = A sin (Bx-C)+D.PHASE SHIFT. The number of units...
- Q Henrietta did an experiment. She started out with 800 bacteria cells. She found that the growth rate of the bacteria cells was 3.2%. Sketch the graph that represents the situation....
- Q A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using...
- Q For the function defined below, use a graphing calculator to find a comprehensive graph and then answer parts (a) through (g) below.P(x)=2x+3x-18x-7x-60(Type your answer in interval notation. Type integers or...
- Q Given the cost function C(x) and the revenue function R(x), find the number of units x that must be sold to break even.C(x) = 14x+20,000 and R(x) = 16x.How many...
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!