The table shows projections for the female population of a country (in millions). Year 2015 2040 181 2050 Female Population 158 187 (a) Find a quadratic function f(x) ax + bx +c that gives the female population (in millions) in year x, where x=0 corresponds to the year 2000. (b) Estimate the female population in the year 2035.

Q: What value of x gives the maximum value of the quadratic function y=-5x2+7x+3?

A: The given function  y = - 5x2 +7x +3 To find the minimum or maximum value of the function. We have…

Q: Find the zeros of the quadratic function y = -2x2 - x + 2.

A:

Q: Find two quadratic functions,one that opens upward and one that opens downward, whose graphs have…

A: Let us find the quadratic functions whose graph have given x-intercepts:      fx=ax-sx-r…

Q: Sketch the graph of the quadratic function. f(x) = - 3x2 - 12x

A: Given quadratic function is : fx=-3x2-12x Required to sketch the graph of quadratic function.

Q: Consider the quadratic function f(x) - 22 - 4x + 5. |

A:

Q: The total amount spent by some number of people on clothing and footwear in the years​ 2000-2009 can…

A: Given that: The total amount spent by some number of people on clothing and footwear in the years​…

Q: The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can…

A:

Q: Use the graph of the quadratic function f(x) = a(x - h)- +k to find the vertex, axis of symmetry,…

A: To find the vertex, axis of symmetry, and maximum or minimum value of function using the given graph…

Q: Consider the Quadratic function f(x)=2x2−15x−8f(x)=2x2−15x−8. What is its vertex? What are the…

A: Given, quadratic function: fx=2x2-15x-8

Q: Determine the vertex of quadratic function f(x) = 2x²+ 4x- 4

A: We have to find the vertex of the quadratic function '…

Q: Consider the quadratic function f(x) = −(x^2 + 2x−8). turning point?

A: Given,

Q: If the profit function for a product is P(x) = 3500x + 40x² – x³ – 50,000 dollars, selling how many…

A: To find the value of x and maximum profit

Q: Sketch the graph of the quadratic function. f(x) = x? +2x - 3

A:

Q: Write the equation of the quadratic function in vertex form and state the vertex of the graph. f(x)…

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Q: A goat farmer is building a pen using a total of 300ft. of fencing. If the pen is to be three times…

A: (a) Let the length of the pen be y ft and the width of the pen be x ft. Determine length y in feets…

Q: Find two quadratic functions,one that opens upward and one that opens downward, whose graphs have…

A: To Determine:  Find two quadratic functions,one that opens upward and one that opens downward, whose…

Q: Find the maximum value of the quadratic function f(x)= – x² +2x+7.

A: for maximum value of f(x) put f'(x)=0.

Q: Find two quadratic functions, one that opens upward and one that opens downward , whose graphs have…

A:

Q: Use a graphing utility to graph the quadratic function. f(x) = -(x² + 2x – 3)

A: NOTE: Refresh your page if you can't see any equations. . to graph the function, we need a few…

Q: Write an equation of the quadratic function with the vertex at the point (-1, 4) and such that f (0)…

A:

Q: The table shows projections for the female population of a country (in millions). Year Female…

A: The objectives are to  1) Estimate a quadratic function fx=ax2+bx+c that gives female population in…

Q: Find the general equation of a quadratic function whose graph passes through the origin and has a…

A:

Q: Write the quadratic function in standard (vertex) form.   f(x)=x2−4x−5   f(x)=         Give…

A: f(x) = x2-4x-5        = x2-4x+4-5-4        =x2+2(-2)(x)+(-2)2-9 f(x) =(x-2)2-9 quadratic function in…

Q: Find the equation of the quadratic function f whose graph is shown below. (2, 7) (3, 4) )- 0 ID

A: This question can be solved using the general equation of parabola.

Q: Express the quadratic function f(x) = x2 - x - 6 in standard form, and sketch its graph.

A: Given, fx=x2-x-6

Q: Find the equation of the quadratic function f whose graph is shown below. 6+ (1, 5) f(4) = 0 -8 -4…

A: Solve the following

Q: In 1995​, the sports league introduced a salary cap that limits the amount of money spent on​…

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Q: If the profit function for a product is P(x) = 6400x + 80x2 – x3 - 250,000 dollars, selling how many…

A: Given:    P(x) = 6400x + 80x² - x³ - 250,000

Q: Suppose​ f(x) is a quadratic function such that its vertex lies on the​ x-axis. How many distinct…

A:

Q: Determine the vertex of the graph of the quadratic function  f(x)= x^2-8x+18

A:

Q: How do I rewrite this quadratic function in the vertex form and what would be the vertex?…

A: Given:fx=5x2-25Vertex:h,k=-b2a, f-b2a

Q: In 1993​, the sports league introduced a salary cap that limits the amount of money spent on​…

A:

Q: Determine the equation of a quadratic function in standard form given zeros x=5, x = -12

A: Given zeros of polynomial are X=5,X=-12   The zeros of a polynomial are those values of the variable…

Q: Find the maximum or minimum value of the quadratic function. f(x) = 3x2 - 18x + 5

A: Find the maximum or minimum value of the quadratic function.       f(x)=3x2-18x+5

Q: Sketch the graph of the quadratic function and the axis of symmetry vertex, and give the equation…

A:

Q: The total amount spent by some number of people on clothing and footwear in the years 2000-2009 can…

A: Explanation of the answer is as follows

Q: Express the quadratic function f(x)=x^2-x-4 in standard form.    Then sketch the graph.

A:

Q: Express the quadratic function f(x) = x² – x - 6 in vertex form, and sketch its graph (showing…

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Q: Sketch the graph of the quadratic function f (x) = x 2 + 3x + 1 4 without using a graphing utility.…

A: Given,

Q: What is the vertex of this quadratic function. (x-4) +3 = 0

A: To find the vertex of the quadratic equation

Q: Find a quadratic function whose horizontal intercepts are X = -2 – V7 and x = -2 + V7.

A:

Q: Sketch the graph of the quadratic function. f(x) = 3x2 - 6x + 10

A: To sketch the graph of given Quadratic equation  f(x) = 3x2 - 6x + 10

Q: Find the equation of the quadratic function f whose graph is shown below. (-4, 6) 6 (-5, 3) f(x) = 0…

A: The given curve is a parabola. So it will have an quadratic equation. We will use the vertex form of…

Q: Graph the quadratic function. 18. f(x)=-2(x+6) +4 19. f(x)=x-6x +8 20 f(x)=-2x² -24x-67

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Write the quadratic function in standard form. f(x) = -x² - 4x + 3 f(x) = Sketch its graph. f(x) 10-…

A:

Q: Find the maximum or minimum value of the quadratic function. f(x) = -x2 + 3x - 1

A: Maximum or minimum values of a function can be determined by the relative extremum points. These…

Q: Determine the domain and range of the quadratic function. f (x) = –2(x + 4)² – 6 -

A:

Q: The graph of quadratic function f is shown on the grid. (-6, 4)- 1 -1 -2 (-2, -4) -5 (-3, -5) What…

A: The intercept of any graph are points at which the graph crosses the axes , X and Y.

Q: In 1992​, the sports league introduced a salary cap that limits the amount of money spent on​…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.