Answer:
x = - 1 ± i 
Step-by-step explanation:
Given
3x² = - 12 - 6x ( add 6x to both sides )
3x² + 6x = - 12 ( divide through by 3 )
x² + 2x = - 4
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = - 4 + 1
(x + 1)² = - 3 ( take the square root of both sides )
x + 1 = ±
= ± i
( subtract 1 from both sides )
x = - 1 ± i 
Answer:
Y = -2x and Y = |-2x| correct me
Answer:
x = 10
Step-by-step explanation:
In the last step, you can see that the fraction
has been multiplied by its reciprocal
, making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply
·
:
6 · 5 = 30
3 · 1 = 3
<u><em>So now you should have the fraction:</em></u>
x = 
<u><em>But, you can still simplify the fraction by dividing 30 by 3:</em></u>
x = 10
Answer:
The chance of an average six-sided number cube landing one one number is 1/6, or approximately 16.67%. When rolling a number cube 100 times, the average number of times it lands on any specific number should be fairly close to 16.67.
A 6 being rolled 42 times and 33 times means that it is <em>very likely</em> not to be a standard number cube. Although we cannot know for certain, the chance of this happening is very low.