Answer:
96
Step-by-step explanation:
The maximum height reached by the pebble modeled by the quadratic function,
, can be found by finding the vertex.
Let's first find the t-coordinate of the vertex . The max height will correspond to this value of t which means we have to find the h(t)-coordinate.
When comparing
to
, we see that:
![a=-16](https://tex.z-dn.net/?f=a%3D-16)
![b=32](https://tex.z-dn.net/?f=b%3D32)
![c=80](https://tex.z-dn.net/?f=c%3D80)
We need to evaluate the following to find the t-coordinate of the vertex:
![t=\frac{-b}{2a}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-b%7D%7B2a%7D)
![t=\frac{-32}{2(-16)}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-32%7D%7B2%28-16%29%7D)
![t=\frac{-32}{-32}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-32%7D%7B-32%7D)
![t=1](https://tex.z-dn.net/?f=t%3D1)
So now to find the correspond h(t)-coordinate, we will need to replace t in
with 1:
![-16(1)^2+32(1)+80](https://tex.z-dn.net/?f=-16%281%29%5E2%2B32%281%29%2B80)
![-16(1)+32+80](https://tex.z-dn.net/?f=-16%281%29%2B32%2B80)
![-16+32+80](https://tex.z-dn.net/?f=-16%2B32%2B80)
![16+80](https://tex.z-dn.net/?f=16%2B80)
![96](https://tex.z-dn.net/?f=96)
Her credits need to be AT LEAST EQUAL TO OR GREATER THAN 144 (credit hours) so we can eliminate choices B and D.
She already completed 4 semesters in which she receives 15 credit per semester.
This expression can be written as 4(15).
She needs to do a certain remaining hours of credit which can be represented by c and only c without any other coefficient.
So, the most reasonable choice here is A.
Answer:
The answer is A because both the graph and the table have the same slope :)
Step-by-step explanation:
Answer:
x > -1/2 is the answer
Step-by-step explanation:
Answer:
99,900
Step-by-step explanation: