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pychu [463]
3 years ago
8

Perform the indicated operation. Be sure the answer is reduced. 3/n^2-9 + 7/3-n =

Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0

This is a basic algebraic fraction question

Step 1: Factor n2-9

Step 2: Rewrite the second fraction

Step 3: Write all the numerators under the least common denominator

Step 4: Expand bracket

Step 5: Collect like terms

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Simplify (1-√3)(⅓+√3) leaving your answer in the form p+q√3​
Mars2501 [29]

Answer:

\frac{-8 +2\sqrt{3} }{3}

Step-by-step explanation:

When working with surds we need to take note of the roots present there.

To expand this equation we can do it the following way noting that √3 X √3 = 3

<em></em>

<em>Expanding (1-√3)(⅓+√3)</em>

1 X 1/3 = 1/3

1 X √3 = √3

-√3 X 1/3 =-√3/3

√3 X √3 = 3

hence, expanding the equation, we have

1/3 + √3 -√3/3 + 3

We can simply group the like terms and add them up.

[1/3 +3] +[√3-√3/3]

10/3 + \frac{2\sqrt{3} }{3}

= \frac{-8 +2\sqrt{3} }{3}

8 0
3 years ago
What is the zeros of the quadratic function y=x^2+14x+24
777dan777 [17]

Step-by-step explanation:

{x}^{2}  + 14x + 24 = 0 \\  {x}^{2}  + 12x + 2x + 24 = 0 \\ x(x + 12) + 2(x + 12) = 0 \\ (x + 12)(x + 2)  = 0\\ x =  - 12 \\ x =  - 2

6 0
3 years ago
Mrs.Oliveros bought 12.036 gallons of gasoline for her car.How is this number written in expaned notation
iren [92.7K]
10+2+0.0+0.03+0.006=12.036
4 0
3 years ago
There are 60 people waiting in line for a movie. If 20 percent are wearing hats, how many people in line were not wearing hats?
sammy [17]

Answer:

48 people

Step-by-step explanation:

To find 20% of 60, you multiply 60 by .2 and get 12. Subtract 12 from 60, and 48 people were not wearing hats.

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julia-pushkina [17]

Answer:

He needs 3 balls of wool to make 6 caps

Step-by-step explanation:

Its simple you will understand if u dont ask me for a explanantion

8 0
3 years ago
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