What is 305 divided by 1000?
2 answers:
Answer: 0.305 ; or, as fraction: 
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Note: 305/1000 would be 305 ÷ 1000 ; since you are dividing by "1000" ; you take the number as it is, and move the number back THREE (3) decimal places:
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→ 305. becomes: 0.305 .
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Alternately, 305/1000 can be written in fraction form:
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Both number are divisible by "5" ;
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305/1000 = (305÷5) / (1000÷5) = 61/200 .
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__________________________________________________
Note: 305/1000 would be 305 ÷ 1000 ; since you are dividing by "1000" ; you take the number as it is, and move the number back THREE (3) decimal places:
________________________________________________
→ 305. becomes: 0.305 .
________________________________________________
Alternately, 305/1000 can be written in fraction form:
________________________________________________
Both number are divisible by "5" ;
________________________________________________
305/1000 = (305÷5) / (1000÷5) = 61/200 .
___________________________________________________
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9514 1404 393
Answer:
"complete the square" to put in vertex form
Step-by-step explanation:
It may be helpful to consider the square of a binomial:
(x +a)² = x² +2ax +a²
The expression x² +x +1 is in the standard form of the expression on the right above. Comparing the coefficients of x, we see ...
2a = 1
a = 1/2
That means we can write ...
(x +1/2)² = x² +x +1/4
But we need x² +x +1, so we need to add 3/4 to the binomial square in order to make the expressions equal:
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Another way to consider this is ...
x² +bx +c
= x² +2(b/2)x +(b/2)² +c -(b/2)² . . . . . . rewrite bx, add and subtract (b/2)²*
= (x +b/2)² +(c -(b/2)²)
for b=1, c=1, this becomes ...
x² +x +1 = (x +1/2)² +(1 -(1/2)²)
= (x +1/2)² +3/4
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* This process, "rewrite bx, add and subtract (b/2)²," is called "completing the square"—especially when written as (x-h)² +k, a parabola with vertex (h, k).