A) by completing the square... X^2-8x+16+20-16 = (x^2-4)^2 +20-16=(x^2-4)+4
B) Since the coefficient of x^2 is positive, it is a quadratic function which increases positively. You know that it will always be above the x axis and therefore positive since the vertex is at (4,4) and increasing
The basic framework is the standard big bang theory for the expansion of the universe and galaxy.
<span>The probability none comes from C. is (30/80)*(29/79)*(28/78)=0.0494.
The three buttons have to be pressed in a certain order. Because three buttons have all been pressed many times, then the buttons will be assumed to be distinct.
The chances are then 3! or 6, and the probability is (1/6)
ABC
</span><span>ACB
BCA
BAC
CAB
CBA
In this instance, there are 10 ways to choose each button, three times, independent, since the buttons don't have to be distinct. This is 10^3 or 1000, and the probability is (1/1000).</span>
To answer the question, the
variable is Miles per Gallon. I am hoping that this answer has satisfied your
query and it will be able to help you in your endeavor, and if you would like,
feel free to ask another question.