Answer and Step-by-step explanation:
Team: Points. Results fetching points
Arcadia. 3+1. 1 win & 1 draw
Brextone. 3+1. 1 win & 1 draw
Cremore 1+1. 2 draws
Dunross. 3+3. 2 wins
a) Based on the previous data, we can conclude that the number of matches drawn was 4
b) Dunross defeated cremore since cremore did not win any league game and dunross reported no ties
c) Yes, you can get a prediction of the matches with their respective results as follows
Brextone drew with Cremore
Dunross beat Arcadia
Arcadia beat Brextone
Arcadia drew with Cremore
Dunross beat Cremore
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:
Step-by-step explanation:
If you have the same denominator, you can just subtract the numerators normally and carry over the denominator.
Use the least common denominator(LCD) to solve this equation:
1 + (-2/3) - (9/2)
so, what is the LCM of 3 and 2 : 6
so, the LCD = 6
1 + (-2 x 2/6) - (9 x 3/6)
the 1 = 6/6
Put it back into the equation:
6/6 + (-4/6) - (27/6)
Then, take it out of the parenthesis:
6/6 - 4/6 - 27/6
Simplify:
= - 25/6
which is the answer.
Hope that helped !! Have a great day now
Answer:
A factor of f(x) is (x + 1).
Step-by-step explanation:
When we put x+1= 0 then we get the value x= -1
This value is then put into the function to find out whether it is a root or not. For a root to exist it must not have a remainder or the remainder must be zero.
Suppose the function is
F(x)= 2x³ - 42x - 40
f(-1)= 2(-1)³ - 42(-1) - 40
f(-1)= -2 + 42- 40
f(-1)= 0
This gives -1 as the root of the function.
