Answer:The quadratic formula helps us solve any quadratic equation. First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) .The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.
Step-by-step explanation: 6x² + 11x - 35 = 0.
2x² - 4x - 2 = 0.
-4x² - 7x +12 = 0.
20x² -15x - 10 = 0.
x² -x - 3 = 0.
5x² - 2x - 9 = 0.
3x² + 4x + 2 = 0.
-x² +6x + 18 = 0.
Hello there!
The answer is C.
I will explain to you how I came to this answer.
•First of all, I counted the turning points. There are two, so that means this polynomial function has THREE roots. (# of turning points+1=number of roots.)
•Next, look to see how many times the function crosses the x-axis. This is the number of REAL solutions. In this case, there is one point at which the f(x) is crossing the x-axis so there is one real solution.
•Since there is one real solution there has to be 2 imaginary roots. (Total # of solutions-real solutions=imaginary solutions)
NOTE: the turning points are where the increasing intervals change to decreasing and the decreasing change to increasing. The first derivative at these points is 0.
I hope this helps!
Best wishes~
-HuronGirl
Answer:
n=31.5
Step-by-step explanation:
The given question is:

Cross multiply to get:

Expand the parenthesis:

Group similar terms:

Combine the like terms

Divide both sides by 4

n=31.5
1)1,2,3,4,5,6
2)1/2
3)1/2
4)1/3
5)5 OR LESS THAN FIVE =1/6
ONLY LESS THAN FIVE (EXCLUDING FIVE)=4/6=2/3
The total area of the shape is 32