Answer:
Step-by-step explanation:
The first is 2, the second is 6 and the third is 14.
Answer:
78
Step-by-step explanation:
102+x=180
x=180-102
x=78
Answer:
The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)
Step-by-step explanation:
A rational equation is a equation where

where both are polynomials and q(x) can't equal zero.
1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of

in our denomiator.
So right now we have

2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.
We can model -2.5 as

So we have as of right now.

Now let see if this passes throught point (6,-3).


So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.
If we have a variable r, in the numerator that will make this applicable, we would get

Plug in 6 for the x values.



So our rational equation will be

or

We can prove this by graphing
the point (-1,5 ) is NOT a solution to the inequality.
There are three steps in graphing an inequality:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Now to solve this, graph the line y=4x-6
Lets use the point (0,0)
0<-6, is NOT true
So we shade everything to the left of the line y=4x-6
Hope that helped.
Given:
It is given that
Probability of winning $ 0 = 
Probability of winning $ 100 = 
Probability of winning $ 200 = 
Probability of winning $ 500 = 
To find the probability of not winning a cash prize.
Explanation:
Not winning cash prize = winning $ 0
So,
Probability of not winning a cash prize
= Probability of winning $ 0
= 
Therefore,
The probability of not winning a cash prize is
. Option D.