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Mathinator
05.12.2021 •
Mathematics
During the test 14 sec of a jump, the distance S. in foot that a skydiverfalls in seconds can be approximated by the polynomial equation S = 11 1672. Approximately how far has a skydiverfalten 10 sec after having jumped from a plane? A skydiver has fallen approximately (blank) ft
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Ответ:
x = -5, y = 31/7, and z = 30/7
Step-by-step explanation:
Step 1: Convert the system into the augmented matrix form:
•224|16
•1-23|-1
•12-3|-9
Step 2: Divide row 1 by 2 and multiply row 2 with -1 and add it into row 3:
•112|8
•1-23|-1
•04-6|-8
Step 3: Divide row 3 by 2 and multiply row 1 with -1 and add it into row 2:
•112|8
•0-3 1|-9
•02-3|-4
Step 4: Multiply row 2 with 2/3 and add it into row 3:
•112|8
•0-3 1|-9
•00-7/3|-10
Step 5: It can be seen that when this updated augmented matrix is converted into a system, it comes out to be:
•x + y + 2z = 8
•-3y + z = -9
•(-7/3)z = -10 (This implies that z = 30/7.)
Step 6: Since we have calculated z = 30/7, put this value in equation 2:
•-3y + 30/7 = -9
•-3y = -93/7
•y = 31/7.
Step 7: Put z = 30/7 and y = 31/7 in equation 1:
•x + 31/7 + 2(30/7) = 8
•x = 8 - 60/7 - 31/7
•x = -5.
The mentioned options are incorrect (it can be verified by substituting all the options in the system one by one).
So final answer is x = -5, y = 31/7, and z = 30/7!!!