The table below gives the stopping distance y (in 100 meters) for a train traveling on a track at various speeds x (miles per hour). Speed, x (mi/h) Distance, y (100 m) 60 65 70 75 80 85 90 95 100 35 50 70 95 125 160 200 245 295 Find an equation of the quadratic function that models the data, and predict the stopping distance for the train traveling at 105 miles per hour. O There is no correct answer given. O y= 0.1x2 - 9.5x+ 245 about 2345 hundred meters O y= 0.1x2 - 9.5x+ 245 about 350 hundred meters O y = 0.1x? + 9.5x+ 245 about 2345 hundred meters O y = 0.1x? + 9.5x+ 245 about 350 hundred meters

Q: 2 (a) Find a quadratic function for the model of the data that gives the quantity sold at x dollars,…

A: Calculus

Q: he following table shows the stopping distance of a car on dry pavement A. Determine an approximate…

A: since there are multiple parts , first two parts are answered . Kindly repost for more help .

Q: Find the quadratic function y= ax + bx +c whose graph passes through the given points. (1,- 3),…

A:

Q: The table below shows the height, h, in meters, of an object that is thrown off the top of a…

A:

Q: i am having trouble with this one

A: Part (a)

Q: The per capita consumption of commercially produced fresh vegetables in a certain country from 1980…

A: Given: The per capita consumption of commercially produced fresh vegetables in a certain country…

Q: Find the quadratic function y = ax² + bx + c whose graph passes through the points (1, 4), (3, 20),…

A: Given points are 1,4,3,20,-2,25 The Lagrange's interpolation formula is given as…

Q: Write in vertex form the equation of a quadratic function with a vertex at (-2, 1) and the point…

A: Algebra  Quadratic equations

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

A:

Q: A golf ball is chipped out of a sand trap along a path that can be modelled by the quadratic…

A: A golf ball is chipped out of a sand trap along a path that can be modelled by the quadratic…

Q: A company collected data for the number of text messages sent and received using a text-message…

A: x=number of months since October  20111 y=number of text messages  use the calculator to find the…

Q: Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at…

A: Given query is to find the equation of the parabola whose roots are x=9 and x=-4. Parabola passes…

Q: The table below shows the number, in thousands, of vehicles parked in the central business district…

A: Given: The number of vehicles parked in the central business district of a certain city on a typical…

Q: The table below shows the height, h(t), in meters, of an object that is thrown off the top of a…

A: The table shows the time and height of the object is, t 0.5 1 1.5 2 2.5 3 h(t) 79.975 91.5…

Q: 1) An engineer collects the following data showing the speed s of a Toyota Camry and its average…

A: We first plot the data on a graphing calculator.  The red line is the approximate quadratic…

Q: Find the quadratic function y = ax + bx +c whose graph passes through the given points. (1, - 1), (-…

A: To form the quadratic equation from points (1,-1),(-1,-5),(2,10)

Q: Find the equation of the quadratic function f whose graph is shown below. 10- 8- 6- f(x) = 0 (6, 3)…

A: We will solve it by two different methods

Q: In DESMOS, to do a regression of the quadratic function using a table of data with variables x1 and…

A: Given, Regression quadratic equation  y = ax2 + bx + c     To find, In DESMOS, to do a regression of…

Q: -4 -3 -2 -1 0. 1 -20 -13 -8 -5 -4 -5

A: topic - quadratic equations

Q: The table below shows the height, h, in meters, of an object that is thrown off the top of a…

A: We have to find the height of object at 2.8 seconds and time to reach 25 meters.

Q: Salaries, in millions of dollars, for rookies selected in the first round of the NFL 2014 draft can…

A:

Q: 2. What does the discriminant tell us about a quadratic function? Explain the three possible cases.

A:

Q: ASK YOUR TEACHER The most expensive rates (In dollars per minute) for a 2-minute telephone call…

A:

Q: The following table shows the height at half-second intervals of a rock that breaks free from the…

A:

Q: The path of a toy rocket thrown upward from the ground at a rate of 201 ft/sec is modeled by the…

A: The objective is to find the maximum height of toy rocket.

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: Identify the equation of a quadratic function with a vertex of (3, 0) that also contains the point…

A: As given by the question, There are given that the vertex is 3, 0 and the point is 4, -1. Then, To…

Q: Write the equation of a quadratic function with roots at -6 and -5, and a vertex at (-5.5, -0.25).…

A: We can use the concept of quadratic equation In order to solve the given problem.

Q: Find the equation of the quadratic function f whose graph is shown below. 10 12 14- (5,-2) (6,-4)…

A: Given graph of quadratic function is

Q: Make a scatter plot of the data. Then find an equation of the quadratic function that models the…

A: X Y 0 4 1 8 2 14 3 22 4 32 5 44 6 58 7 74 8 92

Q: he table gives the wind chill temperature when the outside temperature is 0°F Wind (mph) Chill (°F)…

A: Determining quadratic model for the data .

Q: OSomeone throws a ball at an inclination of 30° to the horizontal. The following data represent the…

A:

Q: Find the rule of the quadratic function y = ax^2 +bx+c whose graph passes through the points:…

A:

Q: Find the quadratic function y = ax+ bx + c whose graph passes through the given points. (1, - 4), (-…

A:

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = -2(x +…

A: Given: f(x)=-2x+12+5

Q: Someone throws a ball at an inclination of 30° to the horizontal. The following data represent the…

A:

Q: Identify the quadratic function from the graph -2 -4 -3 -2 -1 2 4 a) f(x) = x² – 4x + 5 b) f(x) = x²…

A: Consider the quadratic equation given in part (a), fx=x2-4x+5 from the graph, it can be observed…

Q: 2. Determine the equation of the quadratic function which passes through the points (-2, -20), (1,…

A:

Q: Find the quadratic polynomial whose graph goes through the points (-1, 3), (0, 1), and (1,7). f(x) =

A:

Q: Which quadratic function best fits this data? y 1 350 2 539 678 4 875 690 502 O y= 56.80x? - 437.91a…

A: Answer

Q: The table below shows the height, h(t), in meters, of an object that is thrown off the top of a…

A: The table below shows the height, ht, in meters, of an object that is thrown off the top of a…

Q: Consider a new input/output table as follows. y 1 1 3 10 4 21 (a) Complete the table by finding the…

A: Consider the given table of data. The △ values are given by the difference in the y values and the…

Q: Find the quadratic function whose graph passes through the points (-1, -2), (2, 1), and (-2, 1).

A: You are looking for a function with:quadratic functionPoint at (-1|-2)Point at (2|1)Point at…

Q: The table below shows the height, h, in meters, of an object that is thrown off the top of a…

A: Given,The table which is showing the height of the object(h) in meters as a function of time(t) in…

Q: The table below shows data on the number of employees that a small company had from 1975 to 2000.…

A: With the help of values given in table , we will determine the constants.

Q: 1. Determine the equation in standard form of the quadratic function shown. 在 (-2,0) (3.0) (4, -3)…

A: Equation of the quadratic equation.

Q: The table shows the number of adult softball teams since 1990, where x represents the year since…

A: Solution:  The Scatter plot diagram is

Q: The table below shows the results from a study that compared speed (in miles per hour) and average…

A: We use hit and trial method to solve the question.

Q: The table below gives the stopping distance y (in 100 meters) for a train traveling on a track at…

A: The quadratic regression equation can be defined as y = a + bx + cx2, where x is the independent…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.