Answer:
D. Minimum at (3, 7)
Step-by-step explanation:
We can add and subtract the square of half the x-coefficient:
y = x^2 -6x +(-6/2)^2 +16 -(-6/2)^2
y = (x -3)^2 +7 . . . . . simplify to vertex form
Comparing this to the vertex for for vertex (h, k) ...
y = (x -h)^2 +k
We find the vertex to be ...
(3, 7) . . . . vertex
The coefficient of x^2 is positive (+1), so the parabola opens upward and the vertex is a minimum.
Answer:
The distance between the two points is 7 units
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
we have
(2, -3) and (2,4)
substitute the values in the formula
Answer:
-2
Step-by-step explanation:
- and - is positive so -4+2 is -2
Answer:
5 times
Step-by-step explanation: 71 divided by 14 equals 5
Answer:
The minimum balance is $ 1,000
Step-by-step explanation:
According to the expression used to define the balance in Tim's account, at time t = 0:

Then, the initial balance in Tim's account is 1000 dollars. One year later, the balance in Tim's account will be:

And each subsequent year, the balance will increase in a factor of 1.06. The minimum balance in Tim's account is 1000, and there is no possibility that the balance could be less than that amount of money.