Answer:
Step-by-step explanation:
Given a general quadratic formula given as ax²bx+c = 0
To generate the general formula to solve the quadratic equation, we can use the completing the square method as shown;
Step 1:
Bringing c to the other side
ax²+bx = -c
Dividing through by coefficient of x² which is 'a' will give:
x²+(b/a)x = -c/a
- Completing the square at the left hand side of the equation by adding the square of half the coefficient x i.e (b/2a)² and adding it to both sides of the equation we have:
x²+(b/a)x+(b/2a)² = -c/a+(b/2a)²
(x+b/2a)² = -c/a+(b/2a)²
(x+b/2a)² = -c/a + b²/4a²
- Taking the square root of both sides
√(x+b/2a)² = ±√-c/a + b²/√4a²
x+b/2a = ±√(-4ac+b²)/√4a²
x+b/2a =±√b²-4ac/2a
- Taking b/2a to the other side
x = -b/2a±√√b²-4ac/2a
Taking the LCM:
x = {-b±√b²-4ac}/2a
This gives the vertex form with how it is used to Solve a quadratic equation.
The right answer is B (b=-0.243)
The best prediction of the total number of tagged salmon in a sample of 2000 is 100.
<h3><u>Predictions</u></h3>
To determine what is the best prediction of the total number of tagged salmon in a sample of 2000, the following calculation must be performed:
- 800 = 40
- 2000 = X
- 2000 x 40 / 800 = X
- 80000 / 800 = X
- 100 = X
Therefore, the best prediction of the total number of tagged salmon in a sample of 2000 is 100.
Learn more about predictions in brainly.com/question/18152997
- line CD is perpendicular to segment AB
- point M is the midpoint of segment AB
Answer:
Step-by-step explanation:
= Mass flow rate of water = 320 kg/s
= Mass of water on the door
= Time
= Velocity of water on the door = 20 m/s
Force is given by
The average force is exerted by the stream of water is .
