(f+g)(x) is equivalent to f(x) + g(x)
So that would be (7x-3) + (x²-4x) = x² + 7x - 4x - 3 = x² + 3x - 3
Hope this helps.
Answer:
A. y = -5/4x + 3
Step-by-step explanation:
Step 1: Find coordinates
(0, 3)
(4, -2)
Step 2: Find slope
m = (-2 - 3)/(4 - 0)
m = -5/4
y = -5/4x + b
Step 3: Rewrite equation (we already found y-int)
y = -5/4x + 3
Answer:
2
Step-by-step explanation:
We are given that Ticket writing on campus follows a Poisson process.
Last year the campus police wrote 1460 tickets
So, 
1 year = 365 days
So, E(Y) =
So, the standard deviation of the number of tickets written per day by the campus police = 
Hence the standard deviation of the number of tickets written per day by the campus police is 2
let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
