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.
120.7 square inches or 38.44 pi
The answer to the question in the photo is 21
Answer:
The answer is A
Step-by-step explanation:
I took the test
Answer:
y= -3
Step-by-step explanation:
<u>Multiply all terms by the same value to eliminate fraction denominators:</u>
2/y +3 = 3/3y + 9
(3y+9) (y+3) (2/y+3) = (3y +9) (3/3y+9)
<u>Simplify:</u>
6
+
1
8
=
3
+
9
<u>Subtract 18 from both sides of the equation:</u>
6y +18 =3y +9
6y+18 -18 =3y +9 -18
<u>Simplify Again: </u>
6y +3y-9
<u>Subtract 3y from both sides of the equation:</u>
6y =3y -9
6y-3y = 3y -9 -3y
<u>Answer:</u>
y= -3