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Inessa05 [86]
3 years ago
10

Solve by completing the square: 2n^2-n-6=0. Show your work.

Mathematics
1 answer:
jenyasd209 [6]3 years ago
5 0

Answer:

n = 2 or n = -3/2

Step-by-step explanation by completing the square:

Solve for n:

2 n^2 - n - 6 = 0

Divide both sides by 2:

n^2 - n/2 - 3 = 0

Add 3 to both sides:

n^2 - n/2 = 3

Add 1/16 to both sides:

n^2 - n/2 + 1/16 = 49/16

Write the left hand side as a square:

(n - 1/4)^2 = 49/16

Take the square root of both sides:

n - 1/4 = 7/4 or n - 1/4 = -7/4

Add 1/4 to both sides:

n = 2 or n - 1/4 = -7/4

Add 1/4 to both sides:

Answer: n = 2 or n = -3/2

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Of great importance to residents of central Florida is the amount of radioactive material present in the soul of reclaimed phosp
alukav5142 [94]

Answer:

See figure attached and explanation below.

Step-by-step explanation:

For this case we have the following dataset given:

0.74, 0.32, 1.66, 3.59, 4.55, 6.47, 9.99, 0.7, 0.37, 0.76, 1.9, 1.77, 2.42, 1.09, 2.03, 2.69,2.41, 0.54, 8.32, 5.70, 0.75, 1.96, 3.36, 4.06, 12.48

And for this case we can use the followinf R code to create the frequency histogram.

> x<-c(0.74, 0.32, 1.66, 3.59, 4.55, 6.47, 9.99,0.7, 0.37, 0.76, 1.9, 1.77, 2.42, 1.09, 2.03, 2.69,2.41, 0.54, 8.32, 5.70, 0.75, 1.96, 3.36, 4.06,12.48)

> length(x)

[1] 25

> hist(x, prob=TRUE)

And for this case we have the histogram on the figure attached. For the number of classes we use the formula of sturges:

k = 1 +3.322 log (n)= 1+3.3 log(25)= 5.61

And for this case we have approximately 6 classes. And that's what we can see on the figure attached

As we can see most of the values are on the left so then we have a right skewed to the right and the distribution is assymetrical, with most of the values between 0 and 6

4 0
4 years ago
Last question please help((: #10
GrogVix [38]
We would use the sine function because we have an angle the hypotenuse, and the unknown opposite side.

sin(x)=opposite/hypotenuse
sin(60)=x/30
√3/2=x/30 (cross multiply)
30*√3/2=x (divide numerators and denominators by 2)
x=15√3 ft. 
So the correct answer is A

Hope this helps
6 0
4 years ago
Read 2 more answers
a story has a contest to guess the mass of 10000 peanuts. If a peanut has a mass of about 0.45 then what would be a reasonable g
mamaluj [8]
1000000 i think...................................................                                          
7 0
3 years ago
Read 2 more answers
Write an equivalent expression to 1/2 (2n+6).
Lisa [10]

Answer:

n+3

Step-by-step explanation:

1/2 × 2(n+3)=n +3

I hope this helps

5 0
3 years ago
5m +4 -7m = 10<br><br> what is m?
tino4ka555 [31]
-2m + 4 = 10
-2m = 6
m=-3

M would be -3
8 0
3 years ago
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