The population of a town can be modelled by the function P(t)= 20 (4t+3)/(2t+5), where P is the population, in thousands, and t is the time, in years, after the year 2000 (t > 0).      Clearly label all cases (a, b, c,…). Answers must be clear to read and show all steps. Use appropriate units for your answers. How is the graph of the entire function different from the graph for the real-life situation?

Q: 12. Sketch the graph of the function f(x) = with the function. 2x+3 x-5 Describe its features and…

A: To sketch the graph of the function fx=2x+3x-5. To describe its features and their relationship with…

Q: This is the graph of y = xf + 4x+7. (2. 3) What is the range of this function? O A. ys3 O B. y2 3 C.…

A: Range of a function is the set of all possible values of the function in it's domain

Q: The average cost per set for the production of television sets is given by 810+10x+0.1x² C(x)= where…

A:

Q: Compare the graph of each function to the graph of f(x) = 3x. 29. g(x) = 3x - 5 31. g(x) = 3x-2 32.…

A: Solution:-

Q: A low-projection scenano for the population of Smaltown, USA for 1995 and 2150 is given by the…

A: Given the year where x is the year after and is the population in millions.To Find:a) Input and…

Q: 10 -10 -5 0. 10 -10

A: Given: To Find: What happens if we multiply two linear functions together?

Q: Do the data in the following table represent a function? Explain your answer. nput (x) 4 8 11 Dutput…

A:

Q: If you are given the original function; Q(x) = |x|, and then yoU are asked to shift the graph down 4…

A: Given , original function Q(x)=xwe have to shift the graph down 4 spaces and to the left 5 spaces.we…

Q: Consider the following function. f(x) = x² - 6x Write the function in the form y = ax² + bx + c.…

A:

Q: Tom wants to invest $500. He invests in a company that predicts his investment will double in value…

A: Initial investment is $500 and the money gets doubled in 3 years.

Q: Graph each function. Find the vertex, the axis of symmetry and state the min or max value. 1. f(x) =…

A: The graph of a function is the ordered collection of points (x,y) such that each of the points in…

Q: Graph y = 1/x, y = 5/x, y = 10/x , and y = 20/x on the same set of axes. (Choose your own…

A: The equation given to us is y = 1/x, y = 5/x, y = 10/x , and y = 20/x

Q: 2. Diana Nyad was the first person to swim from Cuba to the Florida Straits without a shark cage, a…

A: Given: Diana Nyad completed a 110-mile journey. a. As she took 1.9 miles per hour to complete this…

Q: The aerobic rating of a person x years old is modelled by the function A(x) = 110(In x-2) for x 2…

A: The maxima and minima can be found for the function by differentiation. For the values of maxima the…

Q: According to an experimental study, the lifespan of a hamster is a function of the time the hamster…

A:

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: A devastating freeze in California's Central Valley in Sanugry fHhe state's out approximately 75% of…

A: The given question should be converted into a linear equation using the given conditions.  Then we…

Q: Graph the following functions. Create a table for the range. Use the domain (x) = {-2, -1, 0, 1, 2}…

A:

Q: 10.) The graph f(x) = (x + 1) - 7is translated 3 units right, resulting in the graph g(x). Write an…

A:

Q: Explain how each graph is obtained from the graph of y = Fx). (a) y = fx) + 8 O Shift the graph 8…

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.