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:
I'm not sure if the warm up speed is less than the cool down speed. If it is different than how I did it you just need to swap their positions on the y axis, so the "lumps" or whatever you want to call the shapes will be in opposite positions. The middle one will stay the same because it is the fastest and in between the two happening. Also let me know if you can't read any of the labels
Do the 11% off first.
11% of 52$ is 46.38$, then you take $40 off and your total is only $6.38
if you do -40$ first then you have $12 left and 11% off that is $10.68.
Answer:
72 I think
Step-by-step explanation:
I'm not 100% sure but I think its 72
