Answer:
A. {3,4}
Step-by-step explanation:
In order to find the x values which would make the entire function undefined, you would have to factor the bottom equation. Factoring x^2+7x+12 gives you (x+3)(x+4). If you set each of these equal to 0, you end up with the x values being 3 and 4.
D) f(n) = 3 + 4(n-1)
3 = 1st term
4 = common difference among the terms
n = term number you are looking for.
To check: 3, 7, 11, 15, ...
f(1) = 3 + 4(1-1) = 3 + 4(0) = 3 + 0 = 3
f(2) = 3 + 4(2-1) = 3 + 4(1) = 3 + 4 = 7
f(3) = 3 + 4(3-1) = 3 + 4(2) = 3 + 8 = 11
f(4) = 3 + 4(4-1) = 3 + 4(3) = 3 + 12 = 15
The # in decimal form would be A
Answer:
5 nights
Step-by-step explanation:
Solve the inequality:
90x + 90(0.1)x + 12x + 30 
600
Add like terms:
102x + 30 + 90(0.1)x 600
Isolate the variables:
102x + 90(0.1)x 570
102x + 9x 570
111x 570
x 5.13
So, the Lincolns can stay for 5 nights without exceeding $600
