Answer:
Linearly independent, x = 0
Step-by-step explanation:
- We are given three functions as follows:
- We are to determine the linear - independence of the given functions. We will use the theorem of linear independence which states that:
Where,
c1 , c2 , c3 are all zeroes then for all values of (x),
- The system of function is said to be linearly independent
- We will express are system of equations as such:
- To express our system of linear equations we will choose three arbitrary values of ( x ). We will choose, x = 0. then we have:
- Next choose x = 1:
- Next choose x = 2:
- Solve the last two equations simultaneously we have:
.... ( Only trivial solution exist )
Answer: The functions are linearly independent
- The only zero exist is x = 0.
First find the time that the ball is level with the top of the building on its descent. You can do this by solving 280 = -16^2 + 48t + 280 for t. This gives t = 3 seconds .
Then when the ball reaches the ground the time t is obtained by solving 0 = -16t^2 + 48t + 280 This gives t = 5.94 seconds.
Answer in interval notation is (3, 5.94].
Answer:
$13,392
Step-by-step explanation:
it will cost that because 1240 times 10.8 = 13,392
Answer:
A. 3 1/4
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
28 tries. The ratio is 5:7, so once you multiply 5 by 4 to get 20, you do the same to 7 to get 28.