Answer:
M^4
Step-by-step explanation:
Here use product law which state- same base power should add
M^7-3
M^4
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.
Answer:
x+2a=12+ax-6a
Step-by-step explanation:
collect liked terms:
x+2a=12+ax-6a
2a-ax+6a=12-x
factorize a on the left hand side:
a(2-x+6)=12-x
divide both sides by (2-x+6) :
a(2-x+6)/(2-x+6)= 12-x/(2-x+6)
a= 12-x
____
(2-x+6)