Answer:
Step-by-step explanation:
To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.
In 10 minutes, the junior senator can complete 
of the labyrinth.
In 10 minutes, the senior senator can complete 
of the labyrinth.
Therefore, working together, they can complete 
of the labyrinth in 10 minutes. Thus, it will take them 
to complete one labyrinth.
The amount of time it take them to complete 12 labyrinths is then 
Answer:
f(2) = 12
f(x) = 7, x = -3, 1
Step-by-step explanation:
<u>a)</u>
plug in x as 2
f(x) = 2^2 + 2(2) + 4
f(x) = 4 + 4 + 4
f(x) = 12
<u>b)</u>
replace f(x) with 7
7 = x^2 + 2x + 4
x^2 + 2x - 3 (move 7 to other side)
Factor
ac: -3x^2
b: 2x
split b into 3x, -x
(x^2 -x) + (3x - 3)
↓ ↓
x(x-1) + 3(x-1)
Factor: (x-1)(x+3) = 0
Solve using Zero Product Property:
x - 1 = 0, x + 3 = 0
x = 1, x = -3
I believe the answer is-
a) 80
b) 130
c) 250
