"While Playing basketball, you attempting to make a 3-point shot. The height in mete of the ball thrown at an angle of 45°is given by quadratic function h=-16t2+20t+6, where t is the time seconds after throwing. The ball's horizontal distance meters from you is modeled by x-6t. Assuming the b went inside the ring, what is the horizontal distance fro you to the ring? “

Q: The cost for taxi rides of different distances in miles shown by y= 2 x - 4 . Predict the cost of a…

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Q: Use the quadratic formula to find the x intercepts of the following function. y=x2+3.8x-6 smaller…

A: Given quadratic expression is  y=x2+3.8x-6                    (i) To find the X-intercept of y, the…

Q: A basketball player shoots a free throw from the foul line.The equation of the path it will travel…

A: The given equation of the path is h=-4.9t2+10t+1.2 Find the derivative of the function…

Q: Complete the square to re-write the quadratic function in vertex for. y = x´ + 10x + 8

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Q: Which point is located 6 units from the point (-3,-2) on coordinate grid ?

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Q: Emily's height while jumping on a trampoline can be given by the equation h = -16t2 + 16t + 5, where…

A: Maximum height

Q: Sarah dove off a diving platform into a pool. The dive as she returns to the surface can be modeled…

A: The modeled equation is:y=0.75x2-8x+15

Q: A human slingshot was used to launch a stunt  man into the air across two football fields where he…

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Q: 3. Find the instantaneous velocity of a rocket that hits the ground whose position can be modeled…

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Q: A tattooist is inspired to create a 4-leaf clover tattoo using the curves, y4 = y2 −x2 and x4 = x2…

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Q: Solve the equation 7x2y + 8y = 2x for y as a function of x. Express your answer in calculator syntax…

A: Topic - functions

Q: Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the…

A: Initial amount of water, y intercept =8 inches Slope,m=3inches per day

Q: Does the equation y=5csc(2x+6pi)- 6 include a vertical shift? Horizontal shift?

A: Given equation,  y = 5cosec(2x + 6π) - 6 Does it include horizontal shift and vertical shift?

Q: A dolphin dives down into the ocean and resurfaces along a path that is modeled by x² - 8x + 4y = 0,…

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Q: The amount of military spending M (in biliions of dollars) in the U.S. during year t is given…

A: Given:The amount of military spending M in the U.S. during year t is givenapproximately…

Q: Rewrite the following quadratic function y = x2 + 2x – 77/22 in vertex form by completing the…

A: The question  asked about the basic concepts  related to quadratic  equations.

Q: The time between high and low tide is 12 hours. The high tide of 22 feet occurred at 5 am. The Low…

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Q: Use completing the square to write the following equation y=5x^2+30x-5 in the form y=a(x-h)^2+k…

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Q: Modify the following equation so that it is in quadratic form Determine the values for a, b, and c.

A: In question given question we have to modify the equation in the quadratic form s.t ax2+bx+c=0 and…

Q: The function y=-3x^2+1.60x models the path of a kicked soccer ball. Let the height in meters be y,…

A: We have to find  how far does the soccer ball travelled, how high did the soccer ball go.

Q: I need help finding the table and the roots of the function and the function y-intercept.

A: Let's the function f(x) be a polynomial with  f(-1)=24, f(0)=-5, f(1)=0, f(2)=-6, f(3)=-8, f(6)=10.…

Q: Solve (x + 2)x 4 geometrically by constructing a line segment of length x .

A: We can expand it by multiplying x inside bracket then it is parabola equation then draw the parabola…