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Deffense [45]
3 years ago
9

Solve this quadratic equation using the quadratic formula. 2x 2 - 2x = 1

Mathematics
1 answer:
ira [324]3 years ago
6 0

Answer:

( 2 + √3 ) / 2, ( 2 - √3 ) / 2

Step-by-step explanation:

2x^2 - 2x = 1

2x^2 - 2x - 1 = 0

Here,

a = 2

b = - 2

c = - 1

D = b^2 - 4ac

D = ( - 2 )^2 - 4 ( 2 ) ( - 1 )

= 4 + 8

D = 12

x = - b ± √D / 2a

= - ( - 2 ) ± √12 / 2 ( 2 )

= 4 ± 2√3 / 4

= 2 ( 2 ± √3 ) / 4

= 2 ± √3 / 2

x = ( 2 + √3 ) / 2, ( 2 - √3 ) / 2

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In the system if linear equations below a and b are constants.The solution to the systems is 5,1
dalvyx [7]

Answer:

Step-by-step explanation:

Actually Welcome to the Concept of the linear equations..

Here given value of x= 5 and y =1 , so we get as,

5a + b = 38 and 5b - a = 8

so, now we multiply equation no. 2 by 5 all over.

==> 25b - 5a = 40....(1)

hence adding new equation and equation no. 1

26b = 78

b = 78/26

hence b = 3 , and a = 7

6 0
2 years ago
Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
andrey2020 [161]
Formula of the slope of a linear function:


m = (y₂ - y₁)/(x₂ - x₁)

m= (-1 - 6)/[0- (-5)]

m= -7/5 This is the slope requested
7 0
4 years ago
1.2million users of social media via mobile devices were added each day. How many users added on an average each second
Pachacha [2.7K]

Answer: 14 new users are added per second

Step-by-step explanation:

1,200,000/24 = 50000

50000/60 = 833.333333333

833.333333333/60 = 13.8888888889

then round because it said on average

so if we round 13.8888888889 we get 14

so on average 14 new users are added per second.

5 0
3 years ago
If a bag has 40 red and blue marbles and a quarter of them are red what is the probability of picking a blue one
ella [17]
Total marbles = 40 & 1/4  (or 0.25) are, then RED = 40x 0.25 = 10

If RED = 10 then BLUE = 30

P(picking one blue) = 30/40 = 3/4 =0.75
7 0
3 years ago
Which of the statement about the correlation coefficient is true?
Oksana_A [137]

Answer:

The correct statement is (B).

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

If there is any alteration in the value of one variable, the value of the other variable is altered in a fixed proportion. The correlation amid them is known as perfect correlation.

In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.  

Positive correlation is an association amid two variables in which both variables change in the same direction.  

A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

A correlation coefficient of 0 implies that there is no relationship between the two variables.

Thus, the correct statement is (B).

6 0
3 years ago
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