The discriminant for this equation is 24
Answer:

Step-by-step explanation:
Given
--- slots
i.e. even numbers between 1 and 34 (inclusive)
Required

The probabiity of winning is the number of even numbers divided by the total slot;
i.e.

So, we have:


Answer:
a₁ = 6
Step-by-step explanation:
The sum to n terms of a geometric sequence is
= 
where a₁ is the first term and r the common ratio
Here
= 1530 and r = 2, thus
= 1530 , that is
a₁ (256 - 1) = 1530
255a₁ = 1530 ( divide both sides by 255 )
a₁ = 6
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (1, - 3)
m =
= 
Since division by zero is undefined then the slope of the line is undefined
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