Answer:
2.0 seconds
Step-by-step explanation:
<u>Given quadratic functions</u>:
To find the time, in seconds, that the balloons collided at the highest point, <u>substitute</u> one equation into the other equation and rearrange to <u>equal zero</u>:
<u>Factor</u> the quadratic:
Apply the <u>zero-product property</u> to solve for x:
Therefore, the balloons collided at 1 second and 2 seconds.
To find at which time the highest point of collision occured, substitute both values of x into one of the functions:
Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.
Learn more about quadratic systems of equations here:
brainly.com/question/27930827
Answer:
Step-by-step explanation:
2x² +21x-61 = (x+7)²
expand
2x² + 21x - 61 = x² + 14x +49
move everything to one side
x² + 7x - 12 = 0
use quadratic formula
plug in the values
solve
Answer: OPTION B.
Step-by-step explanation:
You need to analize the information given in order to solve this exercise.
According to the explained in the exercise, the graph shows Eli's distance (in miles) away from his house as a function of time (in minutes).
Then, based on that you can determine that he started his trip from the point 
(Notice that the time and the distance are zero)
Observe in the graph that he arrived to the library (which is 4 miles away from his house) after 30 minutes.
Then, he stayed at the library. You know this because it is represented with an horizontal line.
Now you can identify in the graph that, from the point 
,in which the time in minutes is 
, Eli began his trip from the library to his house.
Therefore, based on the above, you can determine that, when the time is equal to 120 minutes, Eli rode his bicycle home from the library.
-6 you subtract and keep the sign of the greater number
