Answer:
<h2> The fourth</h2>
Step-by-step explanation:
Vertex of f is (-1, -4) so its range is limited to y≥-4
|x+1| is always ≥0 therefore -|x+1| is always ≤0 {4 is insignificant to this - slope doesn't mean in range} so its range is limited to y≤0
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:
a (1, 2.5)
Step-by-step explanation:
When talking about the orthocenter, you want to make sure that the point you are looking for is in the exact center. Since coordinate N of the x value is 1, we can safely assume that your top two choices are either a and b. B wouldn't work since it is not at the exact center which makes your answer A.
Answer:
Option 1 is correct that is square root of 18.
Step-by-step explanation:
We will use pythagoras theroem to find the length of hypotenuse
Here, c is hypotenuse,a is one leg and b is the other leg.
Here, a=b=3
On substituting the values in the formula we get:
Hence, Option 1 is correct that is square root of 18.
