Given: y = 2x^2 - 32x + 56
1) y = 2 [ x^2 - 16x] + 56
2) y = 2 [ (x - 8)^2 - 64 ] + 56
3) y = 2 (x - 8)^2 - 128 + 56
4) y = 2 (x - 8)^2 - 72 <----------- answer
Minimum = vertex = (h,k) = (8, - 72)
=> x-ccordinate of the minimum = 8 <-------- answer
$217.98.
First, add the beginning balance of $98 to each of the deposits ($34.98, $51.02, $51.22) to get $235.22.
Next, subtract each of the withdrawals ($3.23, $4.22, $9.79) from this total to get the ending balance of $217.98.
Here, it's important to understand which amounts are withdrawals and which are deposits. Classifying the amounts correctly will tell you to subtract withdrawals and add deposits to the beginning balance. This ending balance will become your beginning balance for the next month.
Answer:
what!!!!!!!!!!!!!!!!!! so only for dudesssssssss
Taking the arcsin of both sides of the equation, you get ...
... 90° -x = {-60°, -120°}
So ...
... x = 90° -{-60°, -120°} = {150°, 210°}
The appropriate choice is ...
... 210
Answer:
The system has infinitely many solutions
Step-by-step explanation:
We have the following system of equations:
The augmented matrix of the system is:
Transform the augmented matrix to the reduced row echelon form
- Row Operation 1: multiply the 1st row by 1/6
- Row Operation 2: add -12 times the 1st row to the 2nd row
From the reduced row echelon form of the augmented matrix we have the corresponding system of linear equations:
The last row of the system (0 = 0) means that the system has infinitely many solutions.