The formula is in a quadratic formula shape: ![y = ax^2+bx+c](https://tex.z-dn.net/?f=y%20%3D%20ax%5E2%2Bbx%2Bc)
The function is negative since the value 'a' the coefficient of x^2 is negative meaning that the quadratic function is facing downards. If you don't get this explanation, take a look at the diagram I uploaded.
That means the highest point of the graph is its vertex.
But we must find where the vertex is at or the 't' value.
't' value at which vertex is = ![-\frac{b}{2a} =-\frac{16}{2*(-16)} =\frac{1}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7Bb%7D%7B2a%7D%20%3D-%5Cfrac%7B16%7D%7B2%2A%28-16%29%7D%20%3D%5Cfrac%7B1%7D%7B2%7D)
Now plug this 't' value into h(t) to find the maximum height, and we will get 36 feet.
Hope that helps!
Answer:
Length • Width
20 • 25 = 500
So the area is 500ft! :)
Step-by-step explanation:
10(h)+5(h)+7, because 10 and 15 are charged per a hour, so they have a h(house). 7 dollars is a fee that you only pay once. I hope this helps :)