If a projectile is fired straight upward from the ground with an initial speed of 96 feet per​ second, then its height h in feet after t seconds is given by the function h(t)=−16t2+96t. Find the maximum height of the projectile.     Formula (quadratic or vertex) needed to apply: ___________________________

Q: How long will it take the projectile reach its maximum height? (b) What is the highest height that…

A:

Q: Find a formula for the quadratic function with the following properties: zeros at 0 and –4 passes…

A: Let, the quadratic equation is  y = ax2 + bx + c Given : 0 and -4 are zeroes that y = 0 when x= 0…

Q: Given that f is a quadratic function with minimum f(x) = f(1) = 3, find the axis, vertex, range and…

A:

Q: A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in feet,…

A: Given that ,The height of ball , fx m feet can be modeled by ,fx =-0.8x2+2.4x+6where x is the…

Q: A person standing close to the edge on top of a 114-foot building throws a ball vertically upward.…

A: Given: h(t)= -16t2 + 128t + 143 . . . .(1)

Q: Consider the quadratic function f(x)=x2−10x+16 a) Identify the vertex ;  b) Find the x and…

A: Given:fx=x2-10x+16y=ax2+bx+caVertex:  -b2a,f-b2abX-intercept: y=0    Y-intercept: x=0cMinimum value:…

Q: ball is thrown upward and outward from a height of 6 feet. The height of the​ ball, f(x), in​ feet,…

A:

Q: 9x3+3x²-12x Solve for the vertical asymptote/s of f(x) = 9x3+30x²+24x

A: To find vertical asymptote we will put the coefficient of y equal to zero.

Q: A FARMER WITH 200 M OF FENCE PLANS TO ENCLOSE A RECTANGULAR PIECE OF LAND USING A RIVER ON ONE SIDE…

A: Please refer the attached image for complete solution. THANK YOU.

Q: A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x),…

A: Consider the given model for the height of football fx=-0.025x2+x+6 First, find the first derivative…

Q: A ball thrown into the air reaches a height h (in feet) according to the formulah = -16t2 + 64t,…

A: Given h(t) =-16t2+64t  here h in  feet   and t is time in second

Q: A backyard farmer wants to enclose a rectangular space for a new garden within her fenced backyard.…

A:

Q: 5. The height (feet) of a projectile x seconds after it is launched straight up in the air is given…

A: The instantaneous speed of any projectile at it's maximum height is zero . Because gravity provides…

Q: A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x),…

A: (a) This is a quadratic function, it has maximum point at the vertex. So we find the vertex point of…

Q: The paren" function of a QUADRATIC equation is transformed as described. Write the new equation in…

A:

Q: a) How long will it take the projectile reach its maximum height? (b) What is the highest height…

A: In this question, we need to find the maximum height of the particle and when it achieves.

Q: quadratic functions into the vertex 2. f(x) = 2x² – 12x+ 19 %3D

A: Explanation of the answer is as follows

Q: A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x),…

A: As per bartleby guidelines only first three subparts are to be solved. Please upload other parts…

Q: The quadratic function f(x) = 2? + bæ + 49 is a perfect square trinomial. What is a possible value…

A: A perfect square trinomial  will have a discriminant b2-4ac=0.

Q: A ball is thrown upward and outward from a height of 5 feet. The height of the ball, f(x), in feet,…

A: (a) The ball is thrown from a height of 5 feet. The height of the ball is given by the equation…

Q: A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in feet,…

A:

Q: A farmer is intending to build a rectangular fence alongside the edge of his barn using 200 feet of…

A:

Q: A ball is thrown upward and outward from a height of 6 feet The height of the ball, f(x), in feet,…

A: Given : The height of the ball f(x) = -0.1x² + 0.8x + 6

Q: If a football is kicked straight up with an initial velocity of 128 ​ft/sec from a height of 6…

A: Given height function is h(t)=-16t2+128t+6 To find:Maximum height

Q: Y=1/5x^3-square root of x^2+1.Find the graph, the concavité upward and downward, point of…

A: The given function is f(x)=15x3-x2+1 To graph the function and find the interval where the function…

Q: A ball is thrown upward and outward from a height of 5 feet. The height of the ball, fx), in feet,…

A: Given information: A ball is thorwn upwards and outwards from a height of 5 feet. The height of the…

Q: Consider the quadratic model s(t)=-4t^2+574for the height (in feet), h, of an object t seconds…

A: To analyze the motion of the object using the given formula connecting distance (height) and time…

Q: A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in feet,…

A: Given, f(x) = -0.8x2 + 2.4x + 6, where x is the ball’s horizontal distance, in feet, from where it…

Q: The quadratic function f(x) = x? + bæ + 36 is a perfect square trinomial. What is a possible value…

A:

Q: Consider the quadratic model h(t) = -16t^2+ 40t + 50 for the height (in feet), h, of an object t…

A: (a) To find the maximum height attained by the object using vertex formula.The given quadratic model…

Q: Consider the following quadratic function. f(x) = -8x2 + 7x – 4 %3D Do not graph the equation, but…

A: See the answers below

Q: The height y (in feet) of a ball thrown by a child is Y=−1/16x^2+2x+5. Where x is the horizontal…

A: Given, y=-116x2+2x+5 where x is the horizontal distance in feet from the p[oint at which the ball is…

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 5 Y 14 where x is the horizontal…

A: Topic:- calculus

Q: A ball is thrown upward and outward from a height of 6 feet. The height of the​ ball, f(x), in​…

A: We are given the equation to be f(x)=−0.1x2+1.4x+6 where x is the ball's horizontal​ distance, in​…

Q: Which quadratic function has the largest maximum? (1) h(x)= (3- x)(2+x) (3) k(x) =-5x² -12.x +4 (2)…

A:

Q: Consider the function f(x) =3x²-2x+5. Determine the lowest and highest values of this function in…

A:

Q: The height h in feet of a projectile launched vertically upward from the top of a 96-foot tall tower…

A: Given

Q: A baseball player swings and hits a pop fly straight up in the air to the catcher. The height of the…

A:

Q: A ball is thrown upward and outward from a height of 8 feet. The height of the​ ball, f(x), in​…

A: Given: f(x)=−0.3x2+1.7x+8.   As nothing is mentioned, we will be solving by graphical method. For…

Q: When a soccer ball is kicked, it goes up into the air, reaches a maximum altitude and then comes…

A: As per the guidelines,we are suppose to answer only first 3 subparts. Kindly repost rest of the…

Q: A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in feet,…

A: Given, f(x) = -0.8x2 + 2.4x + 6, where x is the ball’s horizontal distance, in feet, from where it…

Q: Graph the quadratic function f(x) = x2 – 6x + 10. Give the (a) vertex, (b) axis, (c) domain, and (d)…

A:

Q: Answer the questions below about the guadratic function. g(x) = 2x+20x+54 Does the function have a…

A:

Q: 11. If a projectile is fired straight upward from the ground with an initial speed of 96 feet per…

A:

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 3 y = 16 where x is the…

A:

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 2x + 5 16 - where x is the horizontal…

A:

Q: Use the graph of the quadratic function f to determine the solution. (a) Solve f(x) > 0. (b) Solve…

A: By using the graph of the quadratic function we have to determine the solution of f.

Q: A ball thrown into the air reaches a height h (in feet) according to the formula h = -16t2 + 80t,…

A: Given, Height in feet,  h = -16t2 +80t  Where t is the time elapsed since the ball was thrown  We…

Q: 16. An engineer is designing a parabolic arch. The arch must be 14m high; and 8 m wide at a height…

A:

Q: A ball is thrown upward and outward from a height of 6 feet. The height of the​ ball, f(x), in​…

A: