x= -15/4 => x= -3 3/4 or x= -3.75
First, let's find what √14 equals.
√14 ≈ 3.74
Now, we can solve for all the answer choices.
Option A:
19/6 = 3.1666...
22/7 = 3.1428...
Option B:
Doesn't need to be solved.
3.17
3.71
Option C:
√4 = 2
√9 = 3
Option D:
Doesn't need to be solved.
3.70
3.75
The only option that contains √14 between it, is Option D.
Hope This Helped! Good Luck!
A)
Knights:
25n-C+1250=0
25n+1250=C
C=25n+1250
Legions:
30n+995-C=0
30n+995=C
C=30n+995
b)
fixed cost=b in y-intercept form
variable cost, dependent on n=m in y-intercept form
Knights:
fixed=1250
variable=25
Legions:
fixed=995
variable=30
c)
insert 45 into n for both formulas:
Knights:
25*45+1250=1125+1250=2375
Legions:
30*45+995=1350+995=2345
d)With 45 guests the Legion's Banquett Hall is cheaper, but due to the higher variable cost this changes with a few more people.
calculate break even point:
difference in variable cost=5 -> per person the cost difference will decrease by this much if another person joins
current price difference: 2375-2345=30
30/5=6 -> if there are 6 additional guest (total= 51) they will cost the same
if there are more than 6 additional guest (total >51) the knight's banquett will be cheaper.
P(arrives on time given leaves on time)=
P(B | A)= P(B n A) / P(A)
= P(A n B) / P(A)
= 0.36 / 0.9
= 0.4
