26. 2x^2 +4x -10 = 0 (-4 + - (root(4^2 - 4*2*-10)))/2*2 =
(-4 + - (root(96)))/4
(-4 + (root(96)))/4 ≈ 1.45
(-4 - (root(96)))/4 ≈ -3.45
27. f(x) = 0 when any of the components that multiply together equal 0 for this function therefore x -2 = 0 x +3 = 0 x -5 = 0 so f(x) = 0 when x = 2, -3 or 5
28. It looks like it shows you how to do it
Answer with explanation:
For, a Matrix A , having eigenvector 'v' has eigenvalue =2
The order of matrix is not given.
It has one eigenvalue it means it is of order , 1×1.
→A=[a]
Determinant [a-k I]=0, where k is eigenvalue of the given matrix.
It is given that,
k=2
For, k=2, the matrix [a-2 I] will become singular,that is
→ Determinant |a-2 I|=0
→I=[1]
→a=2
Let , v be the corresponding eigenvector of the given eigenvalue.
→[a-I] v=0
→[2-1] v=[0]
→[v]=[0]
→v=0
Now, corresponding eigenvector(v), when eigenvalue is 2 =0
We have to find solution of the system
→Ax=v
→[2] x=0
→[2 x] =[0]
→x=0, is one solution of the system.
5 yellow marbles out of total of 17 marbles so 5/17
It's 12 because if you divide 6 by 0.5 you should get 12, so basically use the opposite operation.
Hope that helps!
89 would be the correct answer
