9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
The simplified value of the exponential expression is 2.
<h3>How to get the simplified expression?</h3>
Here we need to simplify the expression:
First, you need to remember that:
Then we can just write:
And now, you can remember that:
2*2 = 4
Then:
2*2*2*2 = 4*4 = 16
From this, we can conclude that:
So we conclude that the simplified value is 2.
If you want to learn more about exponential expressions:
#SPJ4
Answer:
6. The number is
7. The two numbers are and
Step-by-step explanation:
Question six can be re-worded to create the following expression:
Solve for x to find the number:
Question seven can be solved by first listing the constraints (assuming x is smaller than y):
To get the numbers, we can create a system of linear equations. First, solve for in each expression:
Solve for :
Solve for :