The quadratic formula is x= -b +/- √b²-4ac / 2a
In this problem,
a=6
b=4
c=-3
Now, we can plug this into the formula:
x= -4 +/- √4²-(4)(6)(-3) / (2)(6)
x= -4 +/- √16+72 / 12
x= -4 +/- √88 /12
x= -4 +/- 2√22 /12
x= -2 +/- √22 / 6
So,
x= -2 + √22 / 6
x= -2 - √22 / 6
Answer:
[see below]
Step-by-step explanation:
The equation is in the form:
y = kx
Where k is the constant of proportionality.
Since 1/4 is in k's spot, the constant of proportionality should be '1/4'.
Hope this helps.
Answer:
-8.5 is a rational number
Step-by-step explanation:
The whole numbers are all the numbers you can reach if you start at 1 (or 0, if that's your thing) and count forward - 1, 2, 3, 4, on and on forever. The integers are all the numbers we can get by adding and subtracting two whole numbers - this includes situations like 3 - 4, where we're "taking away" more than we have: we simply invent numbers less than zero, the negatives, and that gives 3 - 4 a value - the number -1.
So we can add, subtract and multiply any of these numbers together and we end up somewhere else our world of integers, but the moment we want to ask a question like "what numbers are between 0 and 1?" the integers just aren't enough. We need fractions, and for that purpose we create the rational numbers, which include all the fractional parts between integers, as well as the integers themselves.
-8.5 is halfway between the integers -8 and -9, and since it has a fractional part, it must be a rational number.
