Factored completely means ALL common factors have been taken out. Ann factored it correctly 2(x-2)(2x+1)
I got you fam, but I am not a bot. Just take note of that. 28 is 108%, 29 is 116%, 32 is 2.45%, 33 is 200.025%. Enjoy your day off :)
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:
Now, derive it from the calculations
Step-by-step explanation:
Net income = 100% = N120,000
therefore
1. Food
40%/100% = 2/5 of N120,000
= N48,000
2.Housing
30%/100% = 3/10 of N120,000
= N36,000
3. Savings
20%/100% = 2/10 (or 1/5) of N120,000
= N24,000
4. Miscellaneous
10%/100% = 1/10 of N120,000
= N 12,000
Quick mathmy friend
