For this case we have that by definition, the discriminant of a quadratic expression is given by:

If the discriminant is less than zero then the expression has two different complex roots.
In this case we have the following expression:

So we have to:

The discriminant is given by:

Then, if we want two complex roots it must be fulfilled that:

Thus, the expression has two complex roots for all values greater than 4.
ANswer:

The second choice! I hope my math is right!
Answer:
Here's a tip:
Step-by-step explanation:
Use the acronym PEMDAS to solve.
P arenthesis
E xpoments
M ultiplication
D ivsion
A ddition (Left to right)
S ubtraction (Left to right)
Answer:
- <em>Mode is 0</em>
- <em>Median is 1 </em>
- <em>Mean is 2.625</em>
Step-by-step explanation:
- <em>To find the mode, or modal value, it is best to put the numbers in order. A number that appears most often is the mode.</em>
- <em>0, 0, 0, 1, 2, 4, 7, 7 = mode is 0</em>
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- <em>To find the Median, place the numbers in value order and find the middle number.</em>
- <em>0 , 0 , 0 , 1 , 2 , 4 , 7 , 7 = median is 1</em>
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- <em>The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are.</em>
- <em>0 + 0 + 0 + 1 + 2 + 4 + 7 + 7 / 8 = mean is 2.625</em>

<em>Only y= x - 2 intercepts x-axis at 2 and y-axis at -2. Thus meaning that they intercept oppositely.</em>
<em>Find if both graphs are parallel, that means the equation must be false.</em>
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<em>Multiply whole equation by 2 to get rid of the fractional 2.</em>
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<em>Well, that doesn't seem to be parallel. This is called one solution answer. Both graphs intercept at (2,0). There are no linear graphs that intercept at (2,-2) except for y = x-2 so there are no graphs with (2,-2) that are parallel to the equation y = -5x/2+5 </em>