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Zepler [3.9K]
3 years ago
5

Use the discriminant to determine how many solutions are possible for the following equation show

Mathematics
1 answer:
MaRussiya [10]3 years ago
7 0

Answer:

x = 3/10 + (i sqrt(71))/10 or x = 3/10 - (i sqrt(71))/10

Step-by-step explanation:

Solve for x:

5 x^2 - 3 x + 4 = 0

Divide both sides by 5:

x^2 - (3 x)/5 + 4/5 = 0

Subtract 4/5 from both sides:

x^2 - (3 x)/5 = -4/5

Add 9/100 to both sides:

x^2 - (3 x)/5 + 9/100 = -71/100

Write the left hand side as a square:

(x - 3/10)^2 = -71/100

Take the square root of both sides:

x - 3/10 = (i sqrt(71))/10 or x - 3/10 = -(i sqrt(71))/10

Add 3/10 to both sides:

x = 3/10 + (i sqrt(71))/10 or x - 3/10 = -(i sqrt(71))/10

Add 3/10 to both sides:

Answer: x = 3/10 + (i sqrt(71))/10 or x = 3/10 - (i sqrt(71))/10

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Lostsunrise [7]

Answer:

0.8 cm

Step-by-step explanation:

The formula for MAD is attached in the picture.

x_i are the values (data)

x bar is the mean

n is the number of numbers (data)

For figuring out MAD, basically, <em>we subtract the mean from each of the values respectively and take the absolute value and SUM for all of the numbers in the data set. Then we divide by n, the number of numbers.</em>

<em />

Let's do this:

MAD = \frac{|2-3|+|2-3|+|2-3|+|2-3|+|3-3|+|3-3|+|3-3|+|4-3|+|4-3|+|5-3|}{10}\\=\frac{1+1+1+1+0+0+0+1+1+2}{10}\\=\frac{8}{10}=0.8

MAD is 0.8

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3 years ago
The wettest U.S. city is Mobile, Alabama. The city's chance of rain is 16%. out of a 14- day period, about how many rainy days w
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The answer should B. 2 because 14/100 is equal to x/14. Simplified it is 100x/100=196/100. 196 divided by 100 equals 1.96 which rounds to 2.
7 0
2 years ago
2/10times6/10. Please help
babunello [35]

Answer:

I believe the answer is 1 2/10

Hope this helps!



8 0
3 years ago
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Five times a number is the same as 30 more than 8 times the number.find the number
Goshia [24]

Answer:

hey here's your answer!☺️

since number = n

so, 5 times of number = 5×n = 5n

and , 30 more than 8 times the number = 8n + 30

so, According to the question,

equation formed :-

" 5n = 8n + 30 "

hope it is helpful ✌️!

6 0
2 years ago
Please help and show work<br>​
Nimfa-mama [501]

Answer:

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this also proves that dogs are better than cats

Step-by-step explanation:

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2 years ago
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