Mathematics: PLEASE HELP !! Part A Describe a relationship that can be modeled by the function represented by the graph ,and explain how the function models the relationship. Part B Identify and interpret the key features of the function in the context of the situation you described in part A .

PLEASE HELP !! Part A Describe a relationship that

Ответ:

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19.06.2020

Mathematics

2 seconds

Step-by-step explanation:

Given the equation:

f(x) = -x^2 + x + 2

Where f(x) represents the height of each ball thrown by machine.

and x represents the time in seconds.

To find:

The number of seconds after which the machine throws the balls hits the ground = ?

Solution:

In other words, we have to find the value of after which the f(x) = 0

(Because when the ball hits the ground, the height becomes 0).

Let us put f(x) = 0 and solve for

$f(x) = -x^2 + x + 2 =0\\\Rightarrow -x^2 + x + 2 =0\\\Rightarrow x^2 - x - 2 =0\\\Rightarrow x^2 - 2x+x - 2 =0\\\Rightarrow x(x - 2)+1(x - 2) =0\\\Rightarrow (x+1)(x - 2) =0\\\Rightarrow x =-1, 2$

x=-1 sec is not a valid answer because time can not be negative.

So, the answer is after 2 seconds, the ball hits the ground.

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PLEASE HELP !! Part A
Describe a relationship that can be modeled by the function represented by the graph ,and explain how the function models the relationship.

Part B
Identify and interpret the key features of the function in the context of the situation you described in part A .

Ответ:

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