The solutions for the quadratic equation 9x² - 6x + 5 = 0 are A. 2 complex roots
To determine the the type of roots the quadratic equation 9x² - 6x + 5 = 0, we use the quadratic formula to find the roots.
So, for a quadratic equation ax + bx + c = 0, the roots are
With a = 9, b = -6 and c = 5, the roots of our equation are
Since the roots of the equation are (1 + 2i)/3 and (1 - 2i)/3, there are 2 complex roots.
So, the solutions for the quadratic equation 9x² - 6x + 5 = 0 are A. 2 complex roots
Learn more about quadratic equations here:
brainly.com/question/18117039
Statement: If p, then q
Inverse: If q, then p
Converse: If not p, then not q
Contrapositive: If not q, then not p.
We can see from the statement that p = brush teeth twice a day and q = not get cavities.
Thus:
Inverse: If I don't get cavities, then I brush my teeth twice a day. FALSE (for example, I might floss extra well instead. Brushing my teeth twice a day is not the only way to avoid cavities)
Converse: If I don't brush my teeth twice a day, then I get cavities. FALSE (for example, I might not eat a lot of sugar and thus I don't get cavities)
Contrapositive: If I get cavities, then I did not brush my teeth twice a day. TRUE
If this confuses you, try the example of p = cat and q = four legs. (i.e. the statement is If this is a cat, it has four legs). Try making the inverse, converse, and contrapositive, and see the truth of those statements.
X=0.5y+4;
5(0.5y+4) -3y =19;
Y=2, x=5
Answer:
Possibility 1: 
Possibility 2: 
Possibility 3: 
There are infinitely many more possibilities.
Step-by-step explanation:
So we are looking for a fraction in terms of x.
We have a horizontal asymptote so that means the degree of the top has to equal to degree of the bottom. It is also at y=1 which means the coefficient of the leading term on top and bottom must be the same (but not zero) since the same number divided by the same number is 1.
Now we also have a vertical asymptote at x=4 which means we need a factor of x-4 on bottom.
So there is a lot of possibilities. Here are a few:
Possibility 1:
You have the degrees are the same on top and bottom and the leading coefficients are the same. You also have that factor of (x-4) on bottom.
Possibility 2:
Possibility 3:
Now a factor of (x-4) can be canceled here but you still have a factor of (x-4) left on bottom so you still have the vertical asymptote. You also still have the same leading coefficient on top and bottom (-4 in this case) and the same degree.
1,000 gallons was pumped out after 5 days and the rational number is 1/6 to represent the volume
