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).
Answer:
70
Step-by-step explanation:
Substitute x with -6:
2(-6)²-2
2(36)-2
72-2
70
The sum of a number b and 3 is greater than 8 and less than
12
<span>=> b + 3 < 8
=> b + 3 > 12
</span>
<span>Now,
let’s combine this into an expression:
=> 8 < b+3 < 12
=> (8 - 3) < b < (12 - 3)
=> 5 < b < 9
Thus, the answer in the given situation is 9 because 9 is greater than 8 but
less than 12.
</span>
Answer:
1/3
Step-by-step explanation: