Answer:
The height of the object at launch is 60 meters.
Step-by-step explanation:
The question is:
An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = - 5x^2 + 20x + 60. What is the height of the object at launch?
Solution:
The equation representing the height of the object x seconds after launch from the platform is:
[tex]h (x) = - 5x^{2} + 20x + 60[/tex]
In this case we need to compute the height of the object at launch, i.e. the height of the object at x = 0 seconds.
Compute the height of the object at x = 0 seconds as follows:
[tex]h (x) = - 5x^{2} + 20x + 60\\=-(5\times 0^{2})+(20\times 0)+60\\=60[/tex]
Thus, the height of the object at launch is 60 meters.