Answer:
Option D
Step-by-step explanation:
f(x) = -4x + 2
f(-1) = -4(-1) + 2 = 4 + 2 = 6
The main assumption here is that the height at the water level is 0.
So, the answer is given by the solution to the equation
- 16t^2 + 16t + 480 = 0
To solve it, start dividing by -16 to get:
t^2 - t - 30 = 0.
Now factor the left side:
(t - ) (t + ) =0
Find two numbers that add - 1 and its product is -30
(t - 6 ) (t + 5 ) =0
That gives:
t - 6 = 0 ⇒ t = 6 seconds
The other result gives a time negative, which makes not sense for the problem.
Verify substituing 6 in the original equation:
h(6) = -16*6^2 + 16*6 + 480 = -576 + 96 + 480 = 0. Lo cual confirma nuestra solucion.
It toke Rose 6 seconds to hit the water.
Answer:
The distance between the longest dog and the shortest dog is 4 over 8 (
) OR 1 over 2 (
)
Step-by-step explanation:
From the question,
Short is 7 over 8, that is,
Short = 
and longest is 3 over 8, that is
Longest = 
The distance between the longest dog and the shortest dog can be determined by finding the difference between the fractions. That is,



Hence, the distance between the longest dog and the shortest dog is 4 over 8 (
) OR 1 over 2 (
).