Basic Math question and answers for November 01, 2024
- Q Divide and simplify:x + 10 / x+7 / 2x+ 20 / 5x+35
- Q Find the present value of a continuous income stream F(t) = 20 + 6t, where t is in years and F is in thousands of dollars per year, for 30...
- Q Given the demand function d(p) = 27 p, and the supply function s(p) = 6p.Calculate the following:a) The equilibrium price: b) The gains from trade is the sum of the...
- Q Simplify the expressionx^2- 8x +12 / x^2- 5x + 6and give your answer in the form off(x)/g(x)Your answer for the function f(x) is :Your answer for the function g(x) is:
- Q A chemist weighs samples obtained from a production run. The weights of the samples are 11 g, 10 g, 6 g. 11 g. 15 g. 13 g. 14 g, 12...
- Q A) The luxury tax threshold in a professional sports league is the amount in total payroll that teams must stay under to prevent being levied a competitive balance tax by...
- Q Suppose a company has fixed costs of $31,200 and variable costs of 1/3x2+444x dollars, where x is the total number of units produced. Suppose further that the selling price of...
- Q Consider the acceleration function of an object on a projectile motionis a (t) = -32.If v (0) = 28 ft/sec and s (0) = 120, what is the maximum height...
- Q In 2003, David received $10,000 from his grandmother. His parents invested all of the money, and by 2015, the amount will have grown to $16,958.81. Use the exponential function y...
- Q Captain Ahab needs $6000.00 worth of harpoons. He started with $1500.00 and has been saving $350 a week to buy the harpoons. Write a function that illustrates this situation.Function: h(x)=Slope/Meaning...
- Q Graph the equation y=x+5. Let x = -3, -2, -1, 0, 1, 2, and 3.Find the following y-values. Then choose the correct graph of the equation to the right.
- Q A new dot.com business began with an initial stock offering of $3,000. At the end of the first year, the management conducted a complete top to bottom audit of the...
- Q The town of Frostbite Falls records its population at the end of a given year as 70,000. After 1 year, the population increases by 2.4%. After the next year, the...
- Q For each equation below, determine if the function is Odd, Even, or Neitherf(x) = 4x^5g(x) = 1/x + 4h(x) = 4 - x
- Q Select all the correct answers.Which statements are true about function g?g(x) =(1/2)^x-2 x<2 x^3 -9 x^2 +27x -25 , x?2Function g is continuous.Function g...
- Q Which best describes the numbers satisfying the inequality x<7?all numbers greater than 7all numbers less than 7all numbers greater than and including 7all numbers less than and including 7
- Q Graph the inverse of the function f(x) = 2x+4. Show the function and its inverse on the same coordinate plane. Your answer must include: A hand-drawn or calculator-created image of...
- Q Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the graph of g is related to the graph of f.f(x) = - 4xg(x)=-4x-2
- Q Which function represents a parabola that is translated 2 units to the left and 6 units down from the function f(x) = x?A f(x) = 7(x + 2)-6B f(x) =...
- Q Find a polynomial function f(x) with the given degree, zeros, and leading coefficient:Degree 4, x = - 3, multiplicity of 2; x = 1 multiplicity of 1; x = 3,...
- Q Find the domain of the function.f(x) = x+8/x-4x-x+4What is the domain of f?(Type your answer in interval notation.)
- Q The function f(x)=x+4 is one-to-one.Find an equation for f-1(x), the inverse function.(Type an expression for the inverse. Use integers or fractions for any numbers in the expression.)
- Q Begin by graphing f(x)=2*. Then use transformations of this graph to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graph to...
- Q Find a formula for the inverse.f(x) = 8x
- Q Find the domain and range for the following exponential function.f(x) = 7.e-9 +5a) Record the horizontal asymptote below. Be sure to record you answer as y = #b) Record the...
- Q Describe a situation with an output of area in square feet that can be modeled using the function f(x) = (x)(2x + 5).
- Q An orange is shot up into the air with a catapult. The function h given by h(t) = 15+ 60t - 16t models the orange's height, in feet, t seconds...
- Q Mia opens a coffee shop in the first week of January. The function W(x) = 0.002x3 -0.01x2 models the total number of customers visiting the shop since it opened after...
- Q Drag the values to the correct locations on the image. Not all values will be used.Function fis a logarithmic function with a vertical asymptote at x = 0 and an...
- Q Which function defines (g - f)(x)?f(x) = 3?12x + 1 + 4g(x) = log(x ? 3) + 6A. (g-f)(x) = log x - 3?12x - 12B. (g - f)(x) =...
- Q Which statement best demonstrates why the following is a non-example of a polynomial?33y /x-62y2xz-35z2y2 The expression has a variable raised to a negative exponent.The expression has a negative coefficient.The expression...
- Q A sample of a radioactive isotope had an initial mass of 540 mg in the year 2009 and decays exponentially over time. A measurement in the year 2011 found that...
- Q A sample of a radioactive isotope had an initial mass of 560 mg in the year 1995 and decays exponentially over time. A measurement in the year 2002 found that...
- Q An object dropped from a tower has its height in feet above the ground t seconds into the fall given by s(t) = 160 -16t2. Include appropriate units in your...
- Q Which transformation causes the described change in the graph of the function y=cos X?
- Q Which function defines( g)(x),(1) = (3.6)x+2g(x) = (3.6)x+1A (g f)(x) = (1.8)3x+7+2B. (g = f)(x) = (1.8)?2x+3C. (g 1)(x) = (3.6)4x+3D. (g = f)(x) = (3.6)-2x+1
- Q The size of a stray cat population at the bay area of a certain city grows at a rate of 8% monthly. If there are 350 stray cats currently, find...
- Q Identify the independent and dependent variables for the given linear situation.Write an equation that represents the linear relationship between the variables.Use the equation to answer the question. Be prepared to...
- Q Sal is running on a treadmill at the gym. He is going to run for 7 miles at a constant speed of 1 mile per 8 minutes.Graph the distance Sal...
- Q Find the end behavior of the following polynomial: f(x)=-7(x-11)^3(x+13)(x+2)(x-3)5As x ? ?, f(x)?? -?As x? -?, f(x) ? ?As x??, f(x)??As x? -?, f(x) ? ?As x? -?, f(x) ?...
- Q Which of the following describes the zeroes of the graph of f(x) = 3x6 + 30x5 + 75x4?-5 with multiplicity 2 and 1/3 with multiplicity 45 with multiplicity 2 and...
- Q The monthly rent for a pizza parlor is $1,200. The average production cost per pizza is $6.75. The monthly expenses for the pizza parlor are given by the function E(x)...
- Q Betty has a checking account and a non-interest-bearing savings account. Function Crepresents her checking account balance, where x is the number of months. Function S represents her saving account balance.C(x)...
- Q The following equations define x = = f(t) and y = g(t) implicitly as functions of t.x - 22 = -17, 5y + 3t = 67,Find the slope of this...
- Q There is a formula that estimates how much your puppy will weigh when it reaches adulthood. The method we present applies to medium-sized breeds. First find your puppy's weight w...
- Q A certain species of deer is to be introduced into a forest, and wildlife experts estimate the population grow to P(t) = (976)3 t4.where t represents the number of years...
- Q x = -5: Determine if the relation is a function. If it is not, identify two ordered pairs as proof.
- Q Two ant colonies are growing at the exact same rate. The first colony, however, has a larger population than the second colony. The equation f(t) = 300 (1.03)t models the...
- Q Consider the polynomial below.x3 + x2 - 14x - 22Use the remainder theorem to determine which binomial expression divides the polynomial so that the remainder is 2.A. x-2B. x-1C. x...
- Q Given that 3 - 2i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable.f(x) = x4 - 9x - 9x + 201x -...
- Q A graphing calculator is recommended.A function is given.f(x) = 9+ x + x - x(a) Find the local maximum and minimum values of the function and the value of x...
- Q Which of the following describes the zeros and end behavior when the function is graphed?A. zeros: x= -6,x= -1,and x = 1;As x decreases in value, f(x) increases in value.Ax...
- Q Two variables appear to have an exponential relationship. What pattern(s) does the scatterplotsuggest for the model? Select the two correct answers.It is only increasing or only decreasing.It has a point...
- Q Given: (x is number of items)Demand function: d(x) = 440-0.5xSupply function: s(x) = 0.6xFind the equilibrium quantity:Find the consumers surplus at the equilibrium quantity:
- Q f(x)=x-1. Find the inverse of f(x).A. f^-1(x) = 1-xB. f^-1(x) = xC. f^-1(x) = x + 1D. f^-1(x) = x ?1
- Q 2. Use A = Pe^rt to solve the following problem.A sum of $14,000 is invested at an interest rate of 6.85% per year. Find the amount in the account after...
- Q For the function f(x) = 3x+5/x+5, find f-(x).
- Q Assume that the function f is a one-to-one function.(a) If (7) = 9, find ?(9).Your answer is(b) If ?( ? 2) = 8, find ( ? 8).Your answer is
- Q A homeowner with gas heat in her home has been reviewing her monthly gas bills from the last several years. She has noticed that her highest gas bill is for...
- Q You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50...
- Q Find the GCF of the given list.x16y5, xy5, x7y8
- Q State the domain and range for the following relation. Then determine whether the relation represents a function.{(3, 1), (4,-1), (5, 1), (6,-1)}The domain of the relation is.(Use a comma to...
- Q A company estimates that the marginal cost (in dollars per item) of producing x items is C'(x) = 1.7 -0.008x. If the cost of producing one item is $754, find...
- Q Graph the function f(x) = 7(x + 2) - 6.Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by...
- Q Given that f(x)=x-19 and g(x) = 6x +1, find (fg)(-1/6)A. (fg)(-1/6)= (Simplify your answer.)Select the correct choice below and, if necessary, fill in the answer box to complete your choice.B....
- Q State if the given functions are inverses. *g(x)=2x+4f(x) = x-4/2A) YesB) No
- Q Fill in the missing words for the following statement about functions:A function is a relationship between two sets of data, the input and output sets.and the set of outputs is...
- Q The population P(t) of a culture of the bacterium Pseudomonas aeruginosa is given by P(t)=-1687t2 +83,000t+10,000, where it is the time in hours since the culture was started.(a) Determine the...
- Q For a given input value n, the function g outputs a value m to satisfy the following equation.3m - 5n = 11Write a formula for g(n) in terms of n.g(n)...
- Q For the polynomial below, -3 is a zero.h(x) = x + x ? 9x-9Express h (x) as a product of linear factors.h(x) =
- Q For q (x) =-2x +5x-5/x +2(a) Identify the horizontal asymptotes (if any).(b) If the graph of the function has a horizontal asymptote, determine the point (if any) where the graph...
- Q In 2004, the population of a district was 26,400. With a continuous annual growth rate of approximately 5%, what will the population be in 2024 according to the exponential growth...
- Q Consider the given function f(x) = -3(x+1) +12.(a) Determine whether the graph of the parabola opens upward or downward.(b) Identify the vertex.(c) Determine the x-intercept(s).(d) Determine the y-intercept(s).(e) Sketch the...
- Q The number of bats in a colony is growing exponentially. After 2 years, there were 207 bats. After 4 years, there were 1863 bats. If the colony continues to grow...
- Q Find the function that is finally graphed after the following transformations are applied to the graph of y=?x in the order listed.(1) Vertical stretch by a factor of 2(2) Shift...
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!