<span>Section A seats = 1500
Section B seats = 4500
Lawn seats = 17000
Let's write a few equations to express what we know.
A = number of seats in section A
B = number of seats in section B
L = number of law seats
"There are three times as many seats in Section B as in Section A"
B = 3A
"all 23,000 seats"
L = 23000 - A - B
L = 23000 - A - 3A
"The revenue from selling all 23,000 seats is $870,000"
870000 = 30L + 55B + 75A
Now let's substitute 3A for B
870000 = 30L + 55(3A) + 75A
And substitute (23000 - A - 3A) = (23000 - 4A) for L
870000 = 30(23000 - 4A) + 55(3A) + 75A
And solve for A
870000 = 30(23000 - 4A) + 55(3A) + 75A
870000 = 690000 - 120A + 165A + 75A
870000 = 690000 + 120A
180000 = 120A
1500 = A
So we know that section A has 1500 seats.
Because of B = 3A = 3*1500 = 4500, section B has 4500 seats.
Finally, L = 23000 - A - B = 23000 - 1500 - 4500 = 17000 seats</span>
Answer:
(0,-3) I think
Step-by-step explanation:
The way I learned it 1/4 is the rise over run. so you are at your point and you go up one unit and then left or right 4 units.
5.15625
This can be figured out by 1 divided by 2 five times then multiplying by five:
1/2 = 0.5
0.5 / 2 = 0.25
0.25 / 2 = 0.0125
0.0625 / 2 = 0.625
0.0125 / 2 = 0.03125
multiply 0.03125 by 5 and you get 5.15625
then add 5 to get 5.15625
By the factor theorem, if x + 3 is a factor of f(x) = -3x^3 + 6x^2 + 6x + 9, then f(-3) = 0
f(-3) = -3(-3)^3 + 6(-3)^2 + 6(-3) + 9 = -3(-27) + 6(9) - 18 + 9 = 81 + 54 - 9 = 126.
Therefore, x + 3 is not a factor of the given function
