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Marianna [84]
3 years ago
14

Show that 3x^2 -2x + 1 is always greater than 0. ( This is an Additional Math Question )

Mathematics
1 answer:
Leviafan [203]3 years ago
6 0

Answer:

3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3

(x-1/3)^2 is greater or equal to zero

3(x-1/3)^2 is greater or equal to zero

and 2/3 is greater than zero

So there sum is greater than zero

Proved

Step-by-step explanation:

3x^2 -2x + 1 =3(x^2-2/3x+1/3)

Consider x^2-2/3x+1/3

Remember that (a-b)^2 =a^2-2ab+b^2

x^2=a^2

a=x

-2/3x= -2*x*b

b=1/3

S0 (x-1/3)^2= x^2-2/3x+1/9

x^2-2/3x+1/3= x^2-2/3x+1/9+1/3-1/9= (x-1/3)^2+2/9

3x^2 -2x + 1 =3(x^2-2/3x+1/3)=3(x-1/3)^2+2/9*3= 3(x-1/3)^2+2/3

(x-1/3)^2 is greater or equal to zero

3(x-1/3)^2 is greater or equal to zero

and 2/3 is greater than zero

So there sum is greater than zero

Proved

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Last year, 800 students attended the career fair at west high school. this year,the number of students who attended the career f
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Answer:

840

Step-by-step explanation:

Last year, 800 students attended the career fair at West High School.  

And, this year the number of students who attended the career fair increased by 5%.

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Therefore, the number of students attended the career fair at West High School will be 800[1+\frac{5}{100} ]  =800 \times 1.05 = 840. (Answer)

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2 years ago
The speed of one type of bullet is 200 meters per second. How long would it take the bullet to travel 5,000 meters?
bekas [8.4K]
To solve this problem, we have to find how long it will take the bullet to travel 5,000 meters.  We know that it travels 200 meters per second.

Therefore, if you divide 5,000 meters/200 meters per second, it will give you how many seconds it will take the bullet to travel 5,000 meters.

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The following quote is from a paper on the weight of the bottle as a possible extrinsic cue with which to estimate the price (an
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Answer:

1. a. Weak

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The variation in the price of the wine explained by the variation in the weight of the bottle is 1.69%.

Step-by-step explanation:

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Then, a value of r close to 0 indicates very weak correlation between the two variables.

The value for r^2 in this case is:

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The value of r2 can be interpreted as the proportion of the variation in the dependant variable explained by the independent vairable. In this case, the variation in the price of the wine explained by the variation in the weight of the bottle is 1.69%, which is very close to 0.

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Answer with step-by-step explanation:

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6x + 4y = 34. If this is the case, we have to find 2 numbers that sum up to 34.

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5x - 27 = 15. If we are going to calculate this equation, you need to reverse the equation. 15 + 27 = 42 = 5x. If 42 = 5x, we have to divide 42 by 5, which is 8.4

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5 0
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