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:
87.3
The answer to get 87.3 is to see if the number in the hundredths place (this case 1) is bigger or the same as the value of 5. If it is round the tenth up but if not then cut the rest of the numbers off.
In this problem, we need to solve for the measurement of the width of the rectangular prism on which the formula is Volume = length * width * height. Ther are given values such as length = 3.2 inches, height = 9.6 inches and volume = 138.24 cubic inches. Solving for the width, we have shown it below:
Volume = length * width * height
138.24 = 3.2 * width * 9.6
138.24 / (3.2*9.6) = width
4.5 inches = width
The answer is 4.5 inches for the width of the rectangular prism.
24.8 is the correct answer
Explanation: bc it is
