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.
Hey there!
• ORIGINAL FORMATION
245.499
• EXPANDED FORMATION
= 200 + 40 + 05 + 0.4 + 0.09 + 0.009
= 245.499
• EXPANDED EXPONENTIAL FORMATION
= 2 * 100 + 4 * 10 + 5 * 1 + 4 * 0.1 + 9 * 0.01 + 9 * 0.009
• WORD FORMATION
= “ two hundred forty-five and four hundred ninety-nine thousandths”
Therefore, your answer is:
“two hundred forty-five and four hundred ninety-nine thousandths“
Random fact: if you have decimal in a(n) equation, you’ll have to add “-th” at the end of the word when you’re turning/converting it to the word form of it. Decimals are BELOW 0 and they are LESS 1.
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
The new model can do the entire work alone in 3 hours.
Step-by-step explanation:
Let us assume that the newer model of computer can complete the job alone in x hours.
Therefore, in one hour this new model can do part of the job.
Again the old model can do the entire job alone in 6 hours,
So, in 1 hour the old model can do part of the job.
Therefore, if they work together, then in 1 hour they will do part of the job.
So, the entire work they can do together in hours.
So, given that
⇒ 6x = 2x + 12
⇒ x = 3 hours,
Therefore, the new model can do the entire work alone in 3 hours. (Answer)