Answer:



Step-by-step explanation:

They wanted to complete the square so they took the thing in front of x and divided by 2 then squared. Whatever you add in, you must take out.

Now we are read to write that one part (the first three terms together) as a square:

I don't see this but what happens if we find a common denominator for those 2 terms after the square. (b/2a)^2=b^2/4a^2 so we need to multiply that one fraction by 4a/4a.

They put it in ( )

I'm going to go ahead and combine those fractions now:

I'm going to factor out a -1 in the second term ( the one in the second ( ) ):

Now I'm going to add (b^2-4ac)/(4a^2) on both sides:

I'm going to square root both sides to rid of the square on the x+b/(2a) part:


Now subtract b/(2a) on both sides:

Combine the fractions (they have the same denominator):

Answer:
It is an unusual result contradicting the national survey.
Step-by-step explanation:
National survey showed 44% of college students who drink.
The professor's survey showed that 96/244 = 39% drink.
The professor's survey deviated from the national survey is 5% (44% - 39%) representing about 0.25% (5% squared) variance.
Standard deviation is the spread of a set of numbers from their mean. In other words, it measures how far an observed value is from the mean. It can be calculated by getting the square root of the variance.
Answer:
1500kg
Step-by-step explanation:
50*30=1500
Answer:
2 1/3 planes
Step-by-step explanation:
3.5 lego planes / 60 minutes
So fraction =
3.5/60
In 40 minutes he will build x planes
So the fraction equation is:
3.5/60 = x/40
Solve:
Cross multiply =
140 = 60x
x = 2 1/3
2 1/3 planes
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-Chetan K