Answer:
x=30
Step-by-step explanation:
Let's solve your equation step-by-step.
35=1.5x−10
Step 1: Flip the equation.
1.5x−10=35
Step 2: Add 10 to both sides.
1.5x−10+10=35+10
1.5x=45
Step 3: Divide both sides by 1.5.
1.5x÷1.5=45÷1.5
x=30
$3/6 = .50 per orange
$2.40/3 = .80 per grapefruit
10(.50) + 11(.80) =
$5.00 + $8.80 = $13.80
4.78 is 4.776 to the nearest hundred
Answer:
Step-by-step explanation:
It is a result that a matrix 
is orthogonally diagonalizable if and only if is a symmetric matrix. According with the data you provided the matrix should be
We know that its eigenvalues are 
, where 
has multiplicity two.
So if we calculate the corresponding eigenspaces for each eigenvalue we have
,
.
With this in mind we can form the matrices 
that diagonalizes the matrix so.
and
Observe that the rows of 
are the eigenvectors corresponding to the eigen values.
Now you only need to normalize each row of dividing by its norm, as a row vector.
The matrix you have to obtain is the matrix shown below
Answer:
14
Step-by-step explanation:
If you graph out the parabola, you look for the maximum height of the parabola and it is 14.
