The function w(x) = -0.01x² + 0.27x + 8.60 can be used to estimate the number of self-employed workers in America in millions, x years after 1980. For what years were there (or will be there) 9.7 million self-employed worker in America? (There are 2 answers – a total of 4 points)

Q: 3. The amount of money to operate of a commercial plane is estimated to be $3,895. If an airline…

A:

Q: A second baseman throws a baseball toward the first baseman 60 feet away. The path of the baseball…

A:

Q: Find the minimum or maximum value of the function f (x) =-2x² + 8x +7. Describe the domain and range…

A: For maxima and minima put first derivative is equat to zero and find point of maxima and minima If…

Q: Given f(x) = x4 - 9x2, solve the following:  a. Use the Leading Coefficient Test to determine the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: The extreme value of a function is obtained when the first derivative of the function is 0.Applying…

Q: A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends…

A:

Q: 4. (x) = x(x – 1) - 4x* – 3x* + 2x)

A: We have to find the value of degree, leading term, leading coefficient, and constant term of the…

Q: The price of gas at Leon's gas station is $1.50 per litre. If a customer buys a minimum of 10…

A: Introduction: A linear function can be modeled as fx=ax+b. Here, a represents the slope of the line…

Q: The profit function P(x) of a company selling x items is given by P(x) =-x3+9x2-15x-13 where x…

A: x is in thousands. So 6000 means x=6 x is between 0 to 6   We find the critical points of the…

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: We have to find intervals

Q: Find the maximum or minimum value of the function. h(x) = x2 + 6x – 2 h(x) = Is this a maximum or…

A:

Q: The function f(x) = -2.32x2 + 76.58x - 559.87 models the percentage of U.S. students, f(x), who are…

A: Quadratic equation are those equation in which highest power of the equation is 2 and it has two…

Q: The function f(x) = -4x – 6x² + 240x – 7 is increasing on the interval ( It is decreasing on the…

A:

Q: The function f(x) = -2.32x2 + 76.58x - 559.87 models the percentage of U.S. students, f(x), who are…

A: f(x)=-2.32x2 + 76.58x - 559.87 12≤x≤17We have to find x when f(x)=70

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A:

Q: 8. The Wisely Company earns a weekly profit according to the function f (x)=-1.2x² +180x-280, where…

A:

Q: The bar graph shows your chances of surviving to various ages once you reach 60. The functions f(x)…

A: fx=-2.9x+286gx=0.01x2-4.9x+370

Q: Use the characteristics of the given function to graph the function and it's reciprocal on the same…

A:

Q: The number of females in law continues to show steady increases. The number of female lawyers in a…

A: a. It is exponential function. b. F(30) =>F(30)= .834* x^1.297               =.834*30^1.297…

Q: Which value of X is not in the domain of the function G(x)=26/15x-29" I am a little confused by the…

A:

Q: The function f(x) = – - 6x³ + 43.56x² + 353.6298x – 0.32 is increasing on the open interval ( It is…

A: Given the functionf(x)=−6x3+43.56x2+353.6298x−0.32

Q: pretty dish can be determined by the function below.  b(t)=2(3)^t Which statement represents the…

A:

Q: The current price of an amateur theater ticket is $20, and the venue typically sells 520 tickets. A…

A: Solution is written in step2.

Q: The function f(x) = 2x + 2 is a straight line when graphed. a) The y-intercept for the line is (,…

A: f(x) = 2x +2 For y intercept we put x= 0. Therefore f(x) = 2×0 +2 -> f(x) = 2 a) The y-intercept…

Q: 2. f(x) = 14x – 10x² + 2x – 5

A: Let's find.

Q: A cyclist completes a trail that starts and ends at the same point. The function T(x) = -x² + 6x + 2…

A:

Q: The function f(x) = (6.5x2 - 20.4x + 234)/(x2 + 36), models the pH level, f(x), of the human mouth x…

A: To Determine: a) Use the graph to obtain a reasonable estimate, to the nearest tenth, of the pH…

Q: The cost in dollars if making x items is given by the function C=10x+4 (b) What is the cost of 35…

A:

Q: -k/complete-a-table-and-graph-a-linear-function f(x) = 4x + 2 f(x)

A: f(x)=4x+2 at x=0 f(0)=4x0+2=0+2=2 f(1)=4x1+2=4+2=6 f(2)=4x2+2=8+2=10

Q: x2-3x+4 Q2/ Find the range of the function f(x) x2+3x+4

A: Range of rational function (quadratic/quadratic)

Q: Apply the properties of functions to correctly determine and interpret the break-even point in the…

A: Calculation of above requirement are as follows.

Q: Ms. Jackson has 32 m of fencing to make a rectangular pen for her rabbits. The wall of her house…

A:

Q: 2. Brian's coffee shop finds that its weekly profit (measured in dollars) is given by the function…

A: Givenpx=-1600x2+8000x-1500where px=weekly profit , x=priceTo find:Maximum weekly profit earned by…

Q: he profit function P(x) of a company selling x items is given by P(x)=-x3+9x2-15x-13 where x…

A:

Q: Find the dimensions of a rectangle with a perimeter of 200 feet that has the maximum area.

A: Given Find the dimension  of rectangle wutg a perimeterr  of 200 ft  and has maximum area

Q: Given h(x) V2x + 4, find four points on the graph of the function.

A: Given that: hx=2x+4                                                                 ...........(1)…

Q: A company produces tablets for which the variable cost is $7 per tablet and the fixed costs are…

A: Given that variable cost is $7 per tablet and fixed cost is $30000 company will sell the tablets for…

Q: x-5 If f (x) = find f (4) x2 -10x+25

A: Given, f(x)= (x-5)/(x²-10x+25) x=4

Q: What is the​ y-intercept of each​ function, and what does it​ represent?   The​ y-intercept for…

A:

Q: The function f(x) = 2x° – 33x² + 144x + 5 has one local minimum and one local maximum. This function…

A: Given, f(x) = 2x3 - 33x2 + 144 x + 5 To find the local maxima and local minima, we will…

Q: An apartment complex has 100 two-bedroom units. The monthly profit (in dollars) realized from…

A:

Q: 5. Two sailboats are traveling along the same path away from a dock, beginning from different…

A: Distance travelled = speed X time

Q: The profit function P(x) of a company selling x items perday is given P(x) =(150-x)x-1000. Find the…

A:

Q: One factor of the function f(x) = x - 9x + 20x - 12 is (x - 6). Describe how to find the…

A:

Q: A ball is thrown upward off of a 100 meter cliff with an initial velocity of6 m/s. The functionf (…

A:

Q: 7. The function f(x) = 320x models the cost, f(x), in 100 - x millions of dollars, to remove x% of a…

A:

Q: A factory operating at maximum capacity can produce 25 fuzzles in one day. The cost of producing a…

A: Given the cost function is C(x)=3x+8  and the revenue function is R(x)=14x

Q: 7. The weekly profit of a company is given by the function f (x)=-0.40x² +80x-600 where x is the…

A: