The answer for the first blank is 36 and the answer for the second blank is 97.
To complete the square, we first take half of the value of b. The value of b in this equation is -12; -12/2 = -6.
Next we square the value we just got: (-6)² = 36.
This is what we add to both sides of the equation, giving us:
x²-12x+36=61+36
Combining like terms on the right, we have
x²-12x+36=97
F(x) = (x^2) + x + C at (1,1)
1 = 1 + 1 + C
-1 = C
so,
F(x) = (x^2) + x - 1
Answer:
Measurements were needed for multiple things, such as agriculture, construction, and trade. Also, many areas developed their own systems for measuring objects making it difficult as people from different places had different results. Eventually, the same system was adopted by the majority of people.
Step-by-step explanation:
<u><em>Answer:</em></u>
f (5) = 7.5
<u><em>Explanation:</em></u>
<u>The function given is:</u>
f (n+1) = -0.5 f (n)
<u>We are also given that:</u>
first term is 120
<u>This means that:</u>
f (1) = 120
<u>We will get the other terms by substitution as follows:</u>
f (2) = -0.5 f (1) = -0.5(120) = -60
f (3) = -0.5 f(2) = -0.5(60) = 30
f (4) = -0.5 f(3) = -0.5(30) = -15
f (5) = -0.5 f(4) = -0.5(-15) = 7.5
Therefore, f (5) = 7.5
Hope this helps :)
