3.1/ 13.  a ball is thrown upward and outward from a height of 5 feet. The height of the ball, f(x), in feet can be modeled by  f(x)=-0.2x^2+1.4x+5 a. what is the maximum height of the ball and how far from where it was thrown does it occur? b. How far does the ball travel horizontally before hitting the ground?  c. graph the function

Q: 7). Write a square root function with a horizontal shift of 4 and is reflected across the x-axis

A: square root function with horizontal shift of 4 and reflected over x-axis

Q: Suppose the annual profit for a store was modeled by the function :                 P(x) = - 0.2x3…

A: Given:               The annual profit for a store was modeled by the function :…

Q: A farmer wants to build a rectangular fence around a plot of land. However, 1.5 sides of the plot of…

A: The side of fencing parallel to the river is w. The fencing needed is 1000 ft. Let l be the length…

Q: 4) State the Piecewise Function for the graph below. { } f(x) = - { }

A:

Q: B. Describe in your own words what a vertical line test is in egards to mathematical functions.

A: In mathematical functions, the vertical line test is a easy way to determine if a curve is a graph…

Q: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller…

A: Given the perimeter (or) Total length of fencing is 1000 ftFrom the given figure total length of…

Q: Express the area A of a rectangle as a function of the length of the rectangle is twice its width

A: Topic:- Function

Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

A:

Q: y = x² /9 – x

A: x=0 y=0   x=1 y=(8)^(1/2)   x=2 y=4((7)^(1/2))   x=3 y=9((6)^(1/2))

Q: The cubic function that is the best fit for the data, with y equal to the number of millions of…

A: Given,            The cubic function that is the best fit for the data, with y equal to the number…

Q: What is the area of the largest rectangle that has its base on the x-axis, its lower left corner at…

A: To find the area of the largest rectangle with given corner points.

Q: What is peculiar about the slope of a function before and after a point of inflection as compared…

A:

Q: An analysis of passenger traffic at Daytona Beach International Airport over the past 40 years shows…

A: Since you have posted multiple subparts we solved the first three subparts for you To get the…

Q: A ball projected upwards with a velocity of 128 feet per minute from a Height of 5 feet above the…

A:

Q: 14. Use the curve sketching procedure to analyze the function. а. у-х*+x*-20х

A: since you have asked multiple questions in single request so we will be answering only first…

Q: The equilateral trianhle is inscribed in a circle of radius 6r. Express the area A within the circle…

A:

Q: The number of carbon atoms in a fossil is modeled by the function, C(z) = 5100 (0.93), where, x,…

A: SOLUTION-

Q: Suppose that Px represents the percentage of income spent on health care in year xand represents…

A: Given, P(x) represents the percentage of income spent on health in year x. I(x) represents income in…

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

Q: A ball projected upwards with a velocity of 128 feet per minute from a Height of 5 feet above the…

A:

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Our objective is to find the rate of change of the profit.

Q: The number of ATV-related deaths for people of all ages from 1999 to 2009 can be modeled by the…

A: Given the number of ATV-related deaths for people of all ages from 19999 to 2009 can be modeled by…

Q: 1. Sketch the function Ax) = 3x* - 12x', indicating any extrema, points of inflection, and vertical…

A:

Q: Suppose the function  f(x) = 9x2 − 2x + 6  describes a physical situation that makes sense only for…

A: As per the question we are given an integer optimization problem with objective function : f(x) =…

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

A:

Q: Find a function whose graph is a parabola with vertex (5, -4) and that passes through the point (1,…

A: Please refer the attached image for complete solution.

Q: A function has a y-intercept of 2 and is increasing for values of the domain greater than 4. Which…

A:

Q: The hypotenuse of an isosceles right triangle is to be made into a circle C. Express the area A of C…

A:

Q: You have 1000 feet of fencing to enclose a rectangular playground and subdivide it into two smaller…

A: The amount of fencing required would be equal to the sum of length of all the sides including the…

Q: 9. If the cube root parent function is horizontally stretched by a factor of 4, then translated 5…

A: Question 9 is solved in detail below.

Q: 8. If the quadratic parent function is reflected in the y-axis and vertically compressed by a factor…

A:

Q: The cost to fence in a backyard is $1000 for an area less than or equal to 100 m2. An area greater…

A: Cost function = Average cost / Area

Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…

A:

Q: The total number of units produced by a worker in t hours of a 10 hour shift can be modeled by the…

A:

Q: Sketch the graph of the function (+) = {2x + 1 ifx>1 if x 1 Sx²

A: Here the given function as fx=x2x≤12x+1x>1 We have to draw graph y=x2 when x is less than or…

Q: Supposed that from 2020 to 2060, the number of females in the U.S. under the age of 18, in millions…

A: Given Data: The number of females in the US under 18 is: N=0.140x+36.4 The slope of the graph of the…

Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Please refer the attached image for complete solution.

Q: Determine the equation of the midline of a function whose graph is shown below 57 ,6.7 as a maximum…

A: From the given information, the amplitude of the function is a=4.3 and the function attains the…

Q: ) What is peculiar about the slope of a function before and after a point of inflectionas compared…

A: Both the inflection point and local maxima or local minima are the points where the curve's slope…

Q: A farmer wants to build a rectangular fence around a plot of land. However, 1.5 sides of the plot of…

A: The farmer has total of 2000ft. fencing. 1.5 sides of the plot of land border a river. w is the side…

Q: My square orchid garden abuts my house so that the house itself forms the northern boundary. The…

A: The square orchid garden abuts the house so that the house itself forms the northern boundary. So,…

Q: Find a function whose graph is a parabola with vertex (3, -2) and that passes through the point (1,…

A: Topic =Parabola

Q: 7. A worker gets $20/hour for a normal work week of 40 hours and time-and-a-half for overtime.…

A:

Q: From a 6-cm by 6-cm piece of cardboard, square IX corners are cut out so that the sides can be…

A:

Q: Express the area A of a rectangle as a function of the length x if the length of the rectangle is…

A: The area of the rectangle is given by the formula A=l×w where l is the length of the rectangle and w…

Q: Solve no 73

A:

Q: Find a quadratic function that fits the set of data points. (0,– 2), (5,28), (25,48) f(x) = | |(Use…

A:

Q: Express the solution as a piecewise-defined function and think about what happens to the graph of…

A: (c) In this question, we have to use the property of the Heaviside unit step function about t=5.…

Q: A ball projected upwards with a velocity of 128 feet per minute from a Height of 5 feet above the…

A: Ball reach its maximum height at t = 4 minutes

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.