H is equal to -6. You have to add 19 to both sides
The polynomial has three real roots (of which one counts twice). It's formula is
The roots of a polynomial are the points in which the polynomial inersects the x-axis. So, you might be tempted to say that there are two roots, and .
But now let's face the problem in an analytic way: if is a solution for the polynomial , then can be factored as where is some remainder.
So, since we are sure that and are solutions, we know that we can write our polynomial as
But since the polynomial is a cubic (i.e. degree 3), must be a polynomial of degree 1, i.e. for some
But then we would have
and so we would have a third solution , but we can see from the graph that the only solutions are and .
This means that is actually a copy of one of the two other factors, so that it doesn't add new solutions. So, we have two cases:
or
The answer lies in the shape of the polynomial: you can see that the graph is tangent to the x-axis in , whereas it crosses the x-axis at . This tells us that the double solution is , and thus the correct solution is
Answer: .25 inches
Step-by-step explanation: In order to calculate the size of each part you need to divide 12 by 48. 12 inches / 48 = .25. Each part is .25 inches.
Answer;
x = 0.6 and x = -1.75
Step-by-step explanation:
80x2+92x−84=0
Use quadratic formula
x = (−b ±√(b2−4ac))/√2a
x = (-92 ± √(35344)) / 160
x = 95/160 and x = -280 / 160
x = 0.6 and x = -1.75
Answer:
w and x are adjacent
w and z are supplementary
y and z are supplementary
x and z are vertical angles
Step-by-step explanation: