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Olin [163]
3 years ago
11

Confused at "Evaluate the algebraic expression 6g - 11 for g = – 5". How am I supposed to evaluate?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0
6g - 11
6 (-5) - 11
-11 - 11
-22
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2 2/7 multiplied by 5 1/6
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1/6(a+12)= -4 please help because I don’t understand this
iogann1982 [59]

Answer:

a=-36

Step-by-step explanation:

1/6(a+12)=-4

1) Distribute <u>1/6</u> to a and 12:

1/6a+2=-4

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3 0
3 years ago
What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?​
s344n2d4d5 [400]

Answer:

The roots are

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

<h3>x =  \frac{ - 54\pm \sqrt{ {54}^{2}  - 4(9)(82)} }{2(9)}  \\ x =  \frac{ - 54\pm \sqrt{2916 - 2952} }{18}  \\ x =  \frac{ - 54\pm \sqrt{ - 36} }{18}  \\ x =  \frac{ - 54\pm 6i}{18}</h3>

Separate the real and imaginary parts

That's

<h3>x =  -  \frac{54}{18} \pm \frac{6}{18}  \: i \\ x =  - 3\pm \frac{1}{3} i</h3>

We have the final answer as

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Hope this helps you

5 0
3 years ago
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