Basic Math question and answers for October 31, 2024
- Q Charlotte is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for...
- Q A chef bought $17.01 worth of ribs and chicken. Ribs cost 1.89 per pound and chicken costs 0.90 per pound. The equation 0.9c+1.89r = 17.01 represents the relationship between the...
- Q The number of bald eagles in a state during the winters from 1996 to 2002 can be modeled by the quartic functionf(x) = -3.411x4 +35.736x-96.991x +41.707x+178.525where x is the number...
- Q The function g is defined as follows.g(x)=x-6If the graph of g is translated vertically upward by 7 units, it becomes the graph of a function f.Find the expression for f(x).Note...
- Q Use transformations of f(x)=x to graph the following function.g(x)=3(x+4)-5Select all the transformations that are needed to graph the given function using f(x)=xA. Shift the graph 5 units up.B.Stretch the graph...
- Q Factor the polynomial completely: -3x - 6x-5x - 10x
- Q Michael is walking. D (t), given below, is his distance in kilometers from Glen City after t hours of walking.D(t)=11.5-5t
- Q Consider the function f(x) = x + 4x - 25x -50.If there is a remainder of 50 when the function is divided by (x-a), what is the value of a?Select...
- Q Given f(x) = 3x-2xa) Evaluate f(-2)b) The graph of f(x) becomes the function g(x) by a vertical stretch by a factor of 4 and a horizontal translation left 3. Write...
- Q Type the correct answer in the box.Mr. Jensen is a salesperson for an insurance company. His monthly paycheck includes a base salary of $2.175 and a commission of $250 for...
- Q An object is thrown upward at a speed of 77 feet per second by a machine from a height of 6 feet off the ground. The height h of the...
- Q For the function f(x) = x + 4x + 4x2, answer the following:h. What are the critical points for f(x)?i. For what x is f(x) increasing?j. For what x is...
- Q Rewrite the following quadratic function in vertex form.f(x) = 6x + 2x - 5Select the correct answer below:f(x) = 6(x + 1/6) - 29/6f(x)= 6(x - 1/6) - 29/6f(x)= 6(x...
- Q The total revenue function for a product is given by R = 520x dollars, and the total cost function for this same product is given by C= 16,000+80x + x,...
- Q (a) Find the inverse function of f(x) = 3x - 3.-(x) =(b) The graphs of f and f- are symmetric with respect to the line defined by y =
- Q Given the function f(x) = 7x - 5 and the function g(x) = 9x + 6x +7 determine each of the following.a) Evaluate f(9) + g(13) f(9) + g(13)=b) Evaluate...
- Q A small ice cream company estimates its revenue (the money earned from selling ice cream) to be R = 4x dollars, where x = the number of ice creams sold....
- Q Find the inflection point, if it exists, of the function. (If an answer does not exist, enter DNE.)g(x) = 4x ? 6x + 7x ? 2(x, y) =
- Q Given g(s) = 9s + 1/s , find the following.(a) g(1)(b) g(-1)(c) g(2)(d) g(x)(e) g(s + h)(f) g(s+h)-g(s)
- Q Find the inflection point(s), if any, of the function. (If an answer does not exist, enter DNE.)g(x) = 3x^4 - 6x + 6smaller x-value (x, y) =larger x-value (x, y)...
- Q If f(x) = x+8 and g(x) = x - 8,(a) f(g(x)) =(b) g(f(x)) =(c) Thus g(x) is called an function of f(x)
- Q Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.3q - 9q
- Q Let f(x) = (x-4)Find a domain on which f is one-to-one and non-decreasing.Find the inverse of f restricted to this domain.-(x) =
- Q Consider the function f(x) = (2x-1)/(1-x^2). Which of the following describes the domain of f?All real numbers except 1,-1, and 1/2All real numbersAll real numbers except 1 and 1/2All real...
- Q When considering the function y=-2?-3, the y-intercept is and the range isYou may either type your answer in the text box using the equation editor or upload a picture of...
- Q The function g is defined as follows.g(x) = -x-8If the graph of g is translated vertically upward by 3 units, it becomes the graph of a function h.Find the expression...
- Q A sled accelerates down a hill and then slows down after it reaches a flat portion of ground. The speed of the sled s (t) (in ft/sec) at a time...
- Q Suppose that the function g is defined as follows.g(x) =-3 if -3.5 <x< -2.5-2 if -2.5 < x?-1.5-1 if -1.5 <x< -0.50 if -0.5 ?x<0.51 if 0.5 <x< 1.5Graph the...
- Q g(x) = -x + 48x(a) Determine whether g is even, odd, or neither.(b) There is a local minimum of -128 at -4. Determine the local maximum.(a) Determine whether g is...
- Q Let the graph of g be a vertical shrink by a factor of 0.25 and a reflection in the x-axis, followed by a translation 2 units right of the graph...
- Q Find the average rate of change of f(x) = 2x + 3 over each of the following intervals.(a) From 2 to 4(b) From 3 to 5(c) From 0 to 3(a)...
- Q The local humane society is restocking on cat food to prepare for kitten season. Very young kittens need kitten formula which costs $3.99 per bottle. Older kittens need wet cat...
- Q f(x)=2x+6x+1Round to the nearest hundredth if necessary.If there is more than one x-intercept, separate them with commas.If applicable, click on "None".x-intercept(s):vertex:
- Q Find a polynomial function with the zeros - 3, 1, 4 whose graph passes through the point (6,270).
- Q Consider this situation: Pistol Pete gained a pretty good reputation as a high school basketball player. An NBA farm team offers him a contract for a $20,000 for the first...
- Q Analyze the polynomial function f(x) = (x + 7) (2 ? x) using parts (a) through (e). (a) Determine the end behavior of the graph of the function. (b) Find...
- Q A student records the height of the water in a pool each day for seven days. The function h(t) = |t+2| - 5 models the height of the water h...
- Q Select the values that make the inequality c/4>-1 inequality, in terms of c.(Numbers written in order from least to greatest going across.)
- Q If f(x)=1/x+3 which of the following is true?I. The domain off is (-?,-3)U(-3,?).II. The graph of f has a vertical asymptote of x = -3.III. The graph of f has...
- Q Directions: Graph each function and give its key characteristics. Use a graphing calculator for the turning points and round to the nearest hundredth.
- Q The function f is defined as follows.(a) Find the domain of the function.(b) Locate any intercepts.(c) Graph the function.(d) Based on the graph, find the range.(a) The domain of the...
- Q List the interval(s) on which f is increasing. The interval(s) on which f is increasing is/are(Type your answer in interval notation. Use a comma to separate answers as needed.)
- Q The cost of a Frigbox refrigerator is $875, and depreciates $40 each year. The cost of an Arctic Air refrigerator is $1645, and it depreciates $150 per year.(a) Find an...
- Q Given the functions below, find the domain of (fog)(x).f(x) = -4x - 1Select the correct answer below: All real numbers except -and-and - 10 All real numbers except - All...
- Q Fill in the blanks.The function (gof)(x) is found by replacing each occurrence of x in the equation forThe function (gof)(x) is found by replacing each occurrence of x in the...
- Q Fill in the blanks.The function (fog)(x) is found by replacing each occurrence of x in the equation for The function (fog)(x) is found by replacing each occurrence of x in...
- Q Using the given graph of the function f, find the following.(a) the intercepts, if any(b) its domain and range(c) the intervals on which it is increasing, decreasing, or constant(d) whether...
- Q In Exercises 8 and 9, construct a table of values of four ordered pairs for the given equation. Checkyour results using the table feature of your grapher.y = x. Start...
- Q Tickets to a Broadway show cost $35 for adults and $10 for children. The total receipts for 1790 tickets at one performance were $47,900.How many adult and how many child...
- Q Andrea is buying some new shirts and sweaters. She is able to buy 10 shirts and 3 sweaters for $99 or she is able to buy 8 shirts and 7...
- Q Let f(x) = 4x + 3 and g(x) = 4x2 + 3x. After simplifying,(fg)(x) =
- Q If f(x) = x-3x + 7, simplify each of the following.f(x + h) =f(x+h)-f(x) =
- Q Which describes the end behavior of the function f(x) = -x?+ 4x +37?Select the correct answer below:rising to the left and to the rightfalling to the left and to the...
- Q Find a polynomial function with real coefficients that has the given zeros. (There are many correct answers.)3, -4iUse the zeros to write a polynomial as a product of three linear...
- Q If the end behavior is increasing on the left and decreasing on the right, which statement must be true about the function?Select the correct answer below:The degree is even and...
- Q Given the function f(x) = 0.2 (x-2)(x+1) (x - 5), determine the end behavior of the function.Select the correct answer below:as x ? ?, f(x) ? -?as ?-?, f(x) ?...
- Q In Exercises 15 to 20, for each set of ordered pairs, plot the related points. Then usethe vertical line test to determine which sets are functions.15. ((-3, 1), (?1, 2),...
- Q Which of the following sets of data represent valid functions?G = {(-5, 3), (1, 3), (1, 4), (7, 8), (11, 10)}S = {(0, 3), (2, 3), (5, 4), (0, 3),...
- Q f(x)=(x - 5)(2x + 7) (7x - 3) has zeros at x = -3.5, x =3/7 , and x = 5.What is the sign of f on the interval 3/7<x<5?Choose...
- Q The cost, in dollars, of having n sandwiches delivered is C(n) = 6.5n(n + 5).(a) Is the function linear?(b) If the function is linear, give the slope and vertical intercept.If...
- Q The function V(t) = -3500t + 19000, where V is value and t is time in years, can be used to find the value of a large copy machine during...
- Q If the end behavior is decreasing to the left, what might be true about the function? Select all that apply.Select all that apply:The degree is even and the leading coefficient...
- Q Find the point of inflection and discuss the concavity of the graph of the function.f(x) = sin [0, 8?]Let f be a function whose second derivative exists on a closed...
- Q Find the domain of the function.f(x) = 10 / x-8What is the domain of f?A. (-?,0)U(0,?)B. (-?,8)U(8,?)C. (-?,0)U(0,8)U(8,?)D. (-?,?)
- Q If it takes someone t minutes to drive, run, or walk a mile, then their average speed s(t), in miles per hour, isgiven by the formula
- Q A passenger's tram ride to go up to Sandia Peak begins at an elevation of 6559 feet. One minute after starting, the passenger is at 6808 feet.(a) Find a linear...
- Q Graph the rational function.f(x)= 2x+2 / x + 4Start by drawing the vertical and horizontal asymptotes. Then plot two points on each piece of the graph. Finally, click on the...
- Q Consider functions fVand g.f(x) = log(x - 1)g(x) = (1/3)x - 4Which statement is true about the solutions of the equation f(x) = g(x)?A. The solutions are where the graphs...
- Q Use right and left endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis...
- Q Find the tangent line approximation T to the graph of f at the given point. Then complete the table. (Round your answer to fourdecimal places.)f(x)=?x, (3, ?3)
- Q (a) Factor the numerator and denominator of f(x), find the roots, leading term and asymptotes.In this problem we will give a graph sketch of f(x) =(b) For each root and...
- Q For the function y = x + 6 there are no such restrictions on the domain. When there are no restrictions, the domain of a function consists of all real...
- Q Find f(-2) for the following polynomial function.f(x) = -5x + 9x - 4x -2f(-2)=
- Q f(x)= x - 3x + 2; horizontal stretch by a factor of 3 and a translation 3 units up, followed by a reflection in the x-axis
- Q State the domain and range of the function. (Enter your answers using interval notation.)y = x + 5
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