Answer:
Infinite.
Step-by-step explanation:
Expand:
Add 6 to both sides:
Subtract 3x from both sides:
No matter what x is, it doesn't affect the answer. Thus, the equation is true for all values of x.
What is 0.5 divided by 2.675
2 answers:
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First, we are going to find the vertex of our quadratic. Remember that to find the vertex 
of a quadratic equation of the form 
, we use the vertex formula 
, and then, we evaluate our equation at 
to find 
.
We now from our quadratic that
and 
, so lets use our formula:
Now we can evaluate our quadratic at 8 to find:
So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:
The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is
The x-coordinate of the minimum is 8
We now from our quadratic that
Now we can evaluate our quadratic at 8 to find
So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:
The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is
The x-coordinate of the minimum is 8
The probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.
<h2>Given</h2>
Number of voters who support ballot initiative = 30 % = 0.30
Number of voters who does not support this initiative = 1 - 0.30 = 0.70
Number of voters selected for Surveying = 5
<h3>What is probability?</h3>The probability of success and failure remain the same throughout the trials.
The probability that exactly 2 voters will be in favor of the ballot initiative is given by;
If P denotes Success and Q denotes failure;
Hence, the probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.
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