H(t)=-16t^2+12t+40 What is the height of the ball when its released?  What is the height of the ball one second after its thrown?  How long does it take for the ball to reach its maximum height?  What was the highest point that the ball reached?

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: Answer

Q: orm the quadratic function into vertex form f(x) = (x-h)^2 +k by completing the square.

A: I have provided solution in step2

Q: (3) If a projectile is launched into the air at 29.4 feet per second from aheight of 60 feet, its…

A: 3. given that                                                         u=29.4 feet per secondh=60…

Q: 9. Determine the equation of the quadratic function that has x-intercepts 1+ V3 and 1- V3 and passes…

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Q: The daily profit in dollars of a specialty cake shop is described by the function…

A: Given:

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x)= 30x…

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Q: What are the x-intercepts of the quadratic function f (x) = x² + 6x –27? %3D O-1 and 27 O-27 and 1…

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Q: Find a formula for the quadratic function whose graph has its vertex at (5,2) and its y-intercept at…

A: Find a formula for the quadratic function whose graph has its vertex at (5,2) and its y-intercept at…

Q: Find the vertex of the quadratic f(x) = x2 + 4x + 3 In the box, type the k value

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Q: Find the equation for a cubic polynomial that could generate this graph given that it passes through…

A: We will find the equation of cubic polynomial as following.

Q: A projectile is thrown upward so that it’s distance above the ground after t seconds is h =…

A: Consider the given Function, h=-11t2+484t to find the maximum height of the projectile differentiate…

Q: What is the largest value of the quadratic form 5x} – 3x; if x'x = 1?

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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: Explain, . the process of completing the square on a quadratic function with leading coefficient 1,…

A: x2+bxMultiply and divide 'bx' term by 2x2+2bx2=x2+2b2x

Q: find the domain of the quadratic function. (enter your answer using interval notation) y=4x^2-3x+7

A: Given function, y=4x2-3x+7

Q: Find the horizontal asymptote. 14x2 + 1 x2 - 1 y =

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Q: Match the quadratic function with its graph. Ax) =-(x-2)2

A: If a parabola has a vertical axis, the standard form of the equation of the parabola is this:…

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: A projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its height…

Q: D. Determine the equation of the quadratic given its graph. 1. {4, 6} x=4 & x=6 or

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Q: Determine the quadratic equation that has zeroes at -4 and 11, if f(-3)=56. Show all your work.

A: We have to determine the quadratic equation that has zeros at -4 and 11 If f(-3) = 56

Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

A:

Q: Find a formula for the quadratic function whose graph has a y-intercept of  y=11 and x-intercepts at…

A: To find the expression (second degree in x) for y from the given data

Q: nd the equation of the function with vertex (2, -5) that passes through 7). Place your answer in…

A:

Q: Find the vertex of f(x) = x² – 6x + 3 by completing the square. Show your work.

A:

Q: Find the horizontal asymptote(s). 6x + 2x2 + 7z 1 f(x) = 3x3 + 2x2- 3a + 9

A: Here, the given function is: f(x)=6x3+2x2+7x-13x3+2x2-3x+9

Q: (3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: Since you have posts the multiple question. I am answering the first one. Please posts the question…

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans…

A: We have given,A soft-drink vendor sells x cans of soda pop in one dayHis profit (in dollars) is…

Q: The given figure shows that when a football is kicked, the nearest defensive player is 6 feet from…

A: (Note: we are entitled to solve only one question at a time and upto 3 subparts only)  Given: The…

Q: What are the quadratic functions?

A: The function of the form ax2+bx+c is known as quadratic function where a, b and c are real numbers…

Q: Find a formula for the quadratic function whose graph has a y-intercept at y=7 and x-intercepts at…

A:

Q: The profit P (in dollars) for a company that produces antivirus and system utilities software is…

A: Calculate the derivative for P i.e. P’(x).

Q: Suppose that a ball is thrown straight up into the air and its height after t seconds is 5 + 24t-…

A: The function which gives the height is a quadratic function. To find the maximum height attained by…

Q: If a ball is tossed in the air modeled by f(x) = -1.5 x2 + 12x + 7 , where height is measured in…

A: The given function is:f(x)=-1.5 x2 + 12x + 7

Q: What are the x-intercepts of the quadratic function f (x) = x² + 8x + 12? O -3 and -4 O 2 and 6 O 3…

A: For x intercepts put the value of f(x) = y=0 i.e.,                x2+8x+12=0…

Q: What is the largest value of the quadratic f

A: Here is the solution of the given problem.

Q: Antoine stands on a balcony and throws a ball to his dog, who at his ground level. The balls height…

A: Given :   To find the maximum height and the time it takes to reach the maximum height.

Q: Find the value of x that results in a maximum value of y if -2=x^2+y^2-4x+4y?

A: The given equation is -2=x2+y2-4x+4y. To find the value of x that results in a maximum value of y,…

Q: The profit of a company in thousands of dollars is given by the quadratic function P(x) = 3000 +…

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: 9. The height (in feet) of a rock t seconds after it is thrown upward is given by the quadratic…

A: From the given function: ht=-16t2+112t First, we have to find the critical points, h't=0. So,…

Q: A company has sales (measured in millions) of $50, $60, and $75 during three consecutive years. Find…

A: Given Sale in 1st year is $50 Sale in 2nd year is $60 Sale in 3rd year is $75 Let the quadratic…

Q: The height of a stone catapulted into the air is given by h(x)=−1/480x2+3x+2 where x is the…

A: Given:  The height of a stone catapulted into the air is given by h(x)=-1480x2+3x+2 where x is the…

Q: The owner of a video store has determined that the profits P of the store are approximately modeled…

A: Profit function, P(x) = -x2 + 30x + 76

Q: The path traveled by a golf ball hit with a 9-iron can be modeled with the quadratic function, h =-…

A: Given that a path traveled by a golf ball hit with a 9-iron can be modeled with the quadratic…

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by…

A:

Q: b) Approximate the value of the root of f(x)=-3x+5x+14x-16 near X3D3 to within 0.05 of its actual…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to calculate the root of the equation:…

Q: The height of a projectile, in metres, is modelled by H(t) = -5t2 + 10t + 8, where time, t, is in…

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Q: use graphs to find approximate solutions 2x = 5

A: Given that, 2x=5

Q: distance above the ground after t seconds is h=-12t^2+384t after how many sounds does it reach it’s…

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Q: 4. Find the equation of the quadratic function determined from the graph below.

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Q: What is the maximum value of the function y = -x² + 6x – 7?

A: 3 To find the maximum value of the given function y = -x2 +6x -7