Mathematics, 29.01.2020 18:50, nabilop234

Antoine stands on a balcony and throws a ball to his dog, who is at ground level. the ball's height (in meters above the ground), x seconds after antoine threw it, is modeled by: h(x)=-2x^2+4x+16. how many seconds after being thrown will the ball hit the ground?

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answered: jaidencoolman7072

Step-by-step explanation:

H(x)=0

-2x^2 +4x+16=0

X^2 - 2x - 8 = 0

(X + 2) (x-4) = 0

X + 2 = 0 or x -4 = 0

X= -2 or x=4

Since -2 doesn’t make sense use 4

The ball will hit ground in 4 seconds

answered: cookie1701

4 seconds

Step-by-step explanation:

Given : The ball's height (in meters above the ground), x seconds after Antoine threw it, is modeled by: h(x)=-2x^2+4x+16.

To Find: How many seconds after being thrown will the ball hit the ground?

Solution:

We are supposed to find after how much time the ball hits the ground.

So, we are required to substitute h = 0 because when ball hits the ground the height will be 0

So, 0=-2x^2+4x+16

2x^2-4x-16=0

x^2-2x-8=0

x^2-4x+2x-8=0

x(x-4)+2(x-4)=0

(x-4)(x+2)=0

x=4,-2

Since time cannot be negative .So, neglect -2

Hence A ball will take 4 seconds to hit the ground after being thrown.

answered: Guest

step-by-step explanation:

f(x)=2x^2 -1

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

answered: Guest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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