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Vesnalui [34]
4 years ago
8

Select the correct answer from each drop-down menu. The possible values of x in the equation x^2-3/4 x=-1/4 are blank ± blank .

Mathematics
1 answer:
zlopas [31]4 years ago
8 0

Answer:

x = 3/8 +/- i(√5)/8.

Step-by-step explanation:

I can't see any list by this is the solution of the equation:

x^2 - 3/4x = -1/4

x^2 - 3/4 x + 1/4 = 0

Multiply by 4 to remove the fractions:

4x^2 - 3x + 1 = 0

x = [-(-3) +/- sqrt(3)^2 - 4*4*1)] / 8

x = 3/8 +/-√ (-5) / 8

x = 3/8 +/-  √5 i / 8

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6 0
4 years ago
Can you tell how old a lion is by looking at its nose? A professor at the University of Wisconsin-Madison conducted a study of d
Ghella [55]

Answer:

The residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.

Step-by-step explanation:

In regression, the difference between the observed value of the dependent variable (<em>y</em>) and the predicted value (\hat y) is known as the residual (<em>e</em>).

e=y-\hat y

The least square regression line is used to predict the value of the response or dependent variable (<em>y</em>) from the known value of the explanatory or independent variable (<em>x</em>).

The general form of a least square regression line is:

\hat y=\alpha +\beta x

The equation of the least squares regression line to predict the relationship between age (in years) and proportion of blackness in the lion’s nose is:

\hat y=0.8790+10.6471 x

Compute the predicted value of <em>y</em> for <em>x</em> = 0.11 as follows:

\hat y=0.8790+10.6471 x

  =0.8790+(10.6471\times 0.11)\\=0.8790+1.171181\\=2.050181\\\approx 2.05

The predicted value of <em>y</em> is, \hat y=2.05.

The observed value of the age of lion whose nose is 11% black is, <em>y</em> = 1.90.

Compute the residual age of this lion as follows:

e=y-\hat y

  =1.90-2.05\\=-0.15

Thus, the residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.

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3 years ago
Write an integer to represent the final temperature. The day started out at 6 am as 32 degrees rose 24 degrees by noon and dropp
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3 years ago
Which property of multiplication is used in the multiplication below?
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3 years ago
What is the percent increase of 40 ticket sales to 60 ticket sales?
Morgarella [4.7K]

Answer:

50%

Step-by-step explanation:

60-40=20

20/40*100=50

6 0
4 years ago
Read 2 more answers
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