Answer:
f(x) = (x -6)² +14
Step-by-step explanation:
Completing the square involves writing part of the function as a perfect square trinomial.
<h3>Perfect square trinomial</h3>
The square of a binomial results in a perfect square trinomial:
(x -h)² = x² -2hx +h²
The constant term (h²) in this trinomial is the square of half the coefficient of the linear term: h² = ((-2h)/2)².
<h3>Completing the square</h3>
One way to "complete the square" is to add and subtract the constant necessary to make a perfect square trinomial from the variable terms.
Here, we recognize the coefficient of the linear term is -12, so the necessary constant is (-12/2)² = 36. Adding and subtracting this, we have ...
f(x) = x² -12x +36 +50 -36
Rearranging into the desired form, this is ...
f(x) = (x -6)² +14
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<em>Additional comment</em>
Another way to achieve the same effect is to split the given constant into two parts, one of which is the constant necessary to complete the square.
f(x) = x² -12x +(36 +14)
f(x) = (x² -12x +36) +14
f(x) = (x -6)² +14
Answer:
$17,940 gain.
Step-by-step explanation:
The corportation redeems the bond at 97.5.
100 - 97.5 = 2.5%
1,196,000 * 2.5% = 29,900.
29,900 - 11,960 = 17,940
$17,940 gain at redemption.
<u>Answer:</u>
No, incorrect. It should be -13. 56 unit
<u>Step-by-step explanation:.</u>
I am overcharged 4.52 unit on my cell phone 3 months in a row.
So, net amount I am overcharged = 
unit
= 13.56 unit
So, in the next bill there should be an adjustment of - 13.56 unit. But, here it is given - 13.28 unit only. So, this is incorrect.
Answer:
C) y = -cos(x) +2
Step-by-step explanation:
The centerline is 2, so 2 is added. That leaves out choices A and B.
There is a minimum (not a maximum) at x=0, so the multiplier is negative, eliminating choice D.
The correct equation is that of C: y = -cos(x) +2.
