Basic Math question and answers for November 03, 2024
- Q A function that converts dress sizes in the United States to those in Europe is given by D = f(x) = 2x + 24 where is the size in the...
- Q Determine all important features, and sketch a complete graph of(x)=(5x10)/(x+8x-20)
- Q Write an exponential function y= ab? whose graph passes through (1, 3) and (3, 75).a y = 0.6(x?)b y = 5(0.6?)c y = 0.6(36?)d y = 0.6(5?)
- Q Which of the following functions are linear?a. y = 4x +3 b. 2x + 4y = 14c. y = 1/x +5Select all that apply.A. y = 4x +3B. y= 1/x...
- Q Solve y=f(x) for x. Then find the input(s) when the output is -7.f(x) = 5/9 x+2a x= 9y-2 /5 ; -13b x= 9y-18 / 5 ; -81/5c x= 9y/5 -2...
- Q Decide whether f is even, odd, or neither. f(x)=x-3x +6Choose the correct statement.A. The function is even.B. The function is odd.C. The function is neither even nor odd.
- Q Suppose the monthly cost for the manufacture of golf balls is C(x) = 3310 + 0.51x, where x is the number of golf balls produced each month.a. What is the...
- Q Determine if the following equation has x-axis symmetry, y-axis symmetry, origin symmetry, or none of these.2x + y = -4x-Axis Symmetryy-Axis SymmetryOrigin SymmetryNone of these
- Q The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t...
- Q The total number of sales of a spy novel is modeled by the function f(x) 16,918(1.028). If the initial total number of sales (that is, the total number of sales...
- Q Solve each exponential equation. Use a calculator to write the answer in decimal form (to at least 4 decimal places).a. 3^x = 4x=b. 4^x = 3
- Q Suppose that the function fis defined, for all real numbers, as follows.f(x) = 1 if x ?1 -2 if x = 1Find f(-3), f(1), and (5).(-3)...
- Q The two functions y = (3x + 4) and 9/?3x + 4 share either an inside function or an outside function.(a) What is this shared function?u = help (formulas)Is u...
- Q From 2008 through 2012, the function y-035x +98 can be used to approximate the movie box office (in billions of dollars) in region A while the functiony =0.9x+6.5 approximates the...
- Q For the piecewise function below, it is known that the function is always continuous,f(x) = 3x - 1, x < -2f(x) = px + qx, -2 ? x < 4f(x)=?x,...
- Q Select ALL that apply.Which of the following functions are 6th degree polynomial functions?f(x) = 2x ? 3x + 6x +8f(x) = -3(x-3)(x - 1)(x - 5) (x) = ?6x^5 +...
- Q Find the horizontal asymptote, if any, of the graph of the rational function.g(x) =5x2-9x-8/3x - 4x + 2y = 0y = 5/3y=9/4no horizontal asymptote
- Q Given the toolkit function, f(x) = |x|, write a new equation, g(x), thatwould represent a transformation to the RIGHT 3 units.g(x) = |x + 3|g(x) = |x - 3|g(x) =...
- Q A pharmaceutical corporation has two plants that produce the same over-the-counter medicine. If x? and x? are the numbers of units produced at plant 1 and plant 2, respectively, then...
- Q Let f(x)=2x-5. g(x)=x2, and h(x) = 3x + 4. Perform the indicated composition.f(g(x)) =
- Q Recall that profit equals revenue minus cost. For the revenue and cost functions shown, answer parts (a) through (e) below.R(x) = 420x-2x and C(x) = 100x + 10,880, with 0?x?...
- Q What is the asymptote of f(x) = -2(3)^x+4?y = 4y=-2y=0y=3
- Q Find the values of c and d if the trinomial x + 20x + c can be factored as (x + d) c = d=
- Q Fill in the blanks below in order to justify whether or not the mapping shownrepresents a function.The mapping diagram above a function since where there
- Q A sample of 650 grams of radioactive substance decays according to the function A(t)= 650e ^028t, where t is the time in years. How much of the substance will be...
- Q Solve the following equation for x and assume a, b, c > 0.|x-a| = |bx - cl.b) Solve the following inequality for x and assume a, b > 0.|x -...
- Q For a given function f(x), the operation 1/2f(x) willA) shrink the graph horizontally by a factor of 1/2.B) stretch the graph horizontally by a factor of 2.C) shrink the graph...
- Q An endangered species of fish has a population that is decreasing exponentially (A - Agekt). Thepopulation 9 years ago was 1500. Today, only 1000 of the fish are alive. Once...
- Q A function of x contains the five ordered pairsof the form (x, y). Four of these points aregiven below.(-2, 7), (0, 3), (1, -4), (5,-2)Which ordered pair couldrepresent the fifth...
- Q Given the function g(x) y, which of the following statements is true?g(x) is the name of the function, is the dependent variable, and y is the independent variable.g is the...
- Q For the real-valued functions f(x)=x-2/x+1 and g(x)=4x-5, find the composition fog and specify its domain using interval notation.(fog)(x)'=Domain of fog :
- Q 2 Which of the following sets of ordered pairsrepresents a relation that is not a function?A.{(1, 1), (2,3), (6, 11), (10, 19), (50,99)}B.{(-5, -2), (-4,-1), (1,4), (2,5), (3,4)}C.{(1,3), (3, 9),...
- Q Graph the following function: y=5/2sec(?/4x-3?)
- Q Describe the function f(x) = 5(1/3)^x.O It is an exponential decay function with a base of 1/3 and a y-intercept at y=5.O It is an exponential growth function with a...
- Q If f(x) is a function, how is the graph of g(x)=4f(x-1) different from the graph of f(x)?O g(x) has the same shape as f(x) but stretched vertically by a factor...
- Q Analyze the polynomial function f(x)= x^3 + x^2 - 6x (a) Determine the end behavior of the graph of the function.
- Q If f(x) = (x +1)/x-1, find the domain of f.a)all real number greater than 1b)all real numbers except 1 and -1c)all real numbers less than -1d)all real numberse) all real...
- Q If f(x) = -4|3x - 2| and g(x) = -20, solve the following.(a) f(x) = g(x)(b) f(x) >g(x)(c) f(x) = g(x)(a) Solve f(x) = g(x). Select the correct choice below...
- Q The function below gives the cost in dollars to manufacture x items:C (x) = 10,000 + 5x-x^2/10,000Find the average cost per item over the interval [1,000, 1,010].
- Q The plane area is bounded by the functions y=x^2 and y=4x - x^2 Find the volume generated when the plane area is revolved about the line y=6
- Q Let f(x) = 4x +5/1 +xThe graph of f is given below. Use the graph of f to determine the given limits. Enter DNE if a limit fails to exist,...
- Q Given that there exists a surjective function f : S -> T, which of the following substitutions for the sets S and T are possible? Select only one answer.(a) S...
- Q For the function f(x) = 6x2 + 2x 4, evaluate and fully simplify each of the following.f(x+h) = f(x+h)-f(x)/h =
- Q Graph the linear equation;f(x) =8x
- Q Alyssa was given a gift card for a coffee a shop. Each morning, Alyssa uses the card to buy one cup of coffee. Let A represent the amount money remaining...
- Q The function f(t) = 8000(0.15)^24t represents the change in a quantity over t days. What does the constant 0.15 reveal about the rate of change of the quantity?The function...
- Q Find the domain of the function f(x) =(x^2 +2x +1)/x+1a)Set of negative real numbersb)Set of real numbers except -1c)Set of real numbers except 1
- Q Solve by graphing:-x+y=-2-2x+2y=-4Select the correct answer below:a)Infinite solutions in the form (x,-2-2)b)Infinite solutions in the form (x,-x+2)c)Infinite solutions in the form (x,x - 2)d) Infinite solutions in the form (x,...
- Q Use a graphing calculator to solve the nonlinear system.y =e^(X+1)X+y =1Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A). The solution set...
- Q Consider the function f : N?P(N) given byf(x) = {d ? N: d|x}.(a) Write out all of the elements of the set f(10) = {d ? N: d|x}.(b) Is f...
- Q For the given function: f(x) =x-5/(x^2 -25)A). State the domain of the given function.B). Find the value of limx?5 f(x), if it exists. Justify your answer.C). Find the value of...
- Q Write the equation of the exponential function represented by the table. (round each to the nearest thousandths).X 5 ...
- Q Given thatp? (t) = 2t + 2t - 1 and p? (t) = t 2t + 1,which of the following polynomials in P? does not belong to span{p? , p?}?...
- Q Evaluate the expression ( x?+7x-2)/(y?+2) , when x = 4 and y=-2.-393938
- Q Function r(t) gives the amount of rainfall accumulated in inches, when it is t hours after the rain started. Which statement represents the meaning of the equation r(5) = 2.5...
- Q Let f(x) = (1 + 4x^2)(x - x^2).a)Find the derivative by using the Product Rule.f'(x) =_________b)Find the derivative by multiplying first.f'(x) =_________c)Do your answers agree?1)Yes2)No
- Q Graph the inequality.5x - 6y >= 0Use the graphing tool to graph the inequality.
- Q Oreo was asked to find the end behavior of f(x) = 3x +2 -7x^5+ 11. In which step did she make an error? Explain what her error was. Type your...
- Q For the function, (a) determine whether it is one-to-one and (b) if it is one-to-one, find a formula for the inverse.f(x) = 2/7x+4Find the formula for f?(x), the inverse of...
- Q Evaluate f(3).f(x) = -x+3 if x < 2 2x-3 if x ? 2A) f(3) = 0B) f(3) = 6C) undefinedD) f(3) = 3
- Q Solve the equation by factoring: (x + 4)(x + 5) = 11x + 68x=Write your answers as a list of integers or reduced fractions, with your answers separated by (a)...
- Q Consider the function f(x) = 3x^5/3 + 60x^2/3.(a) Show that f'(x) = {[5(x + 8)] / ?x}. Then find and classify all local extrema of f.b) Find the values of...
- Q For the given functions f and g, find the requested function and state its domain.f(x) = 9x - 2; g(x) = 7x - 8. Find f-g.(f - g)(x) = 2x...
- Q Isaac invested $1,800 in an account paying an interest rate of 4.7% compoundedcontinuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be...
- Q Let T: P?->P?, be the linear transformation such thatT(2x) = -2x + 3x. T(-0.5x - 2) = -4x - 4x -2, T(5x + 1) = 2x - 1.Find T(1), T(x),...
- Q Calculate the average rate of change of the following functions.1. f(x) = x over the interval 2 ? x ? 32. h(x) = 7 - 3x over the interval 2...
- Q The equation below shows the cost C in dollars, of a small company to produce units in one week. C(x) = 500 + 60x +0.5x^2? How much money will it...
- Q Graph an exponential that passes through the point (2,6) and has growth factor 3. Plot and label at least 3 other points (include an intercept).
- Q A certain radioactive element has a half-life of 35 days. If you had a 100 grams of this element, the mass m of the element after t 35- day intervals...
- Q Find the domain of the composite function f?g.f(x) = x + 4; g(x) = 5/x+6 {x | x is any real number} {x | x ? -6} {x| x ?...
- Q (b) Find the coordinates of the vertex.(c) Find the intercept(s).For both the x- and y-intercept(s), make sure to do the following. If there is more than one, separate them with...
- Q Let f(x)=x-9 and g(x) = 6 -x. Perform the composition or operation indicated. (fg)(-1)
- Q Solve by any method.6x - 8y = -0.63x + 2y = 0.9
- Q Write the equation in standard form and enter it below. Do not enter blank spaces in your answer.y=3/4 x+2Standard form of equation:
- Q Let f(x) = 3x - 8x + 5 and g(x) = x + 16. Find + g, ? g, f g, and Simplify your answers.1. f + g =2. f-g=3....
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