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Margaret [11]
3 years ago
13

12n^2+12n+9=0 Please solve!

Mathematics
1 answer:
Bogdan [553]3 years ago
5 0

Answer:

n = (1/2)(-1 ± i√2)

Step-by-step explanation:

Among the several ways in which quadratic equations can be solved is the quadratic formula.  Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac:  12^2 - 4(12)(9) = 144 - 432 = -288.  The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots.  These roots are:

      -b ± √(discriminant)

n = ---------------------------------

                 2a

Here we have:

      -12 ± √(-288)           -12 ± i√2√144          -12 ± i12√2

n = ----------------------  =  ------------------------ =  --------------------

            2(12)                             24                           24

or:

n = (1/2)(-1 ± i√2)

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Solve and graph the absolute value inequality: |2x + 4| > 8​
neonofarm [45]

Answer:

C

Step-by-step explanation:

To get rid of the absolute value bars you have to get two different equations which would be 2x+4>-8 AND 2x+4>8. Pay attention to the signs, if there is greater than or equal to then it would have a line underneath the sign, which neither of the equations should have since you haven't moved a negative. solve normally and you'll get -6 blank circle and 2 blank circle.

4 0
3 years ago
Complete the sentence.<br> 32 g≈ ___ oz
Elena L [17]

32g = 1.12877oz or 32 grams is equivalent to 1.12877 ounces.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between units of weight: grams and ounces.

From there, we can say that we are asked how many ounces are there in 32 grams.

Converting grams to ounces, we must use the conversion

1 gram = 0.035274 ounces

32 grams = 32 (0.035274 ounces)

32 grams = 1.12877 ounces

To learn more about conversion: brainly.com/question/97386

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8 0
1 year ago
Without subtracting 8.5 - 4.64 determine what digit will be in the hundredths place
kozerog [31]
It will be a 6 because the 8.5 is actually 8.50. So when subtracting mentally 8.50 - 4.64 you know 0 - 4 cannot be subtracted. Barrow a 1 from the 5 and now it'll be like 10 - 4. Which 10 - 4 = 6

8.50
- 4.64
= 3.86
3 0
3 years ago
Tell if the events are independent or dependent. Explain your reasoning.
MakcuM [25]
The answer is D. When flipping a coin, the probability of getting tails does not change no matter how many times you flip the coin. It will always be 1/2.
3 0
2 years ago
Find the surface area of the prism
deff fn [24]

Answer:

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Step-by-step explanation:

8 x 5 x 2 = 80

8 x 7 = 56

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80 + 56 + 25

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80 + 81 = 161

161 ft squared

7 0
2 years ago
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