Answer:
b = -1
Step-by-step explanation:
-7+b= -8
Add 7 to each side
-7+7+b= -8+7
b = -1
Quadratic polynomial x^2 - x - 6 = f(x)
binomial (x-3)
dividing:-
x + 2
----------------------
x - 3 ) x^2 - x - 6
x^2 - 3x
----------
2x - 6
2x - 6
--------
.........
result of division is (x + 2)
s o we can write the function as (x - 3)(x + 2)
Part 2 f(a) = f(3) = (3)^2 - 3 - 6 = 0
Part3 The remainder Theorem states that the remainder when a polynomial is divided by (x - a) then the remainder is f(a). If f(a) = 0 then x - a is a factor.
In the above case f(3) = 0 therefore (x - 3) is a factor of our polynomial.
Answer:
The number of tickets must be sold is 2500
Step-by-step explanation:
The charge for each ticket = $ 5
The concessions amount = $ 1400
The amount paid to players = $ 2000
The amount paid to workers = $ 1600
The cost of each bag given to each fan = $ 3 per bag
Let The number of tickets sold = x
Now, number of ticket sold = number of fans = x
So, According to question
( charge per ticket × number of fans - cost of each bag × number of fan - concession amount ) = amount paid to players + amount paid to workers
Or, $5 x - $3 x - $1400 = $2000 + $1600
Or, $2 x = $3600 + $1400
Or, $2 x = $5000
∴ x =
= 2500
Hence Answer