Solve the equation for 1 and 5:
1^2 +4 = 1+4 = 5
5^2 + 4 = 25 +4 = 29
Find the difference:
29 -5 = 24
Find the difference of the X values: 5-1 = 4
Rate of change is the change in Y over the change in X:
The rate of change would be: 24/4 = 6
Answer:
Variant c
Step-by-step explanation:
c²=4*9
c=6
You can apply phyphagor
b²=6²+9²=36+81=117

Step-by-step explanation:
x = -12
y = x/2 + 9
y = -12/2 + 9
y = -6 + 9
y = 3
4y-8>10
Add 8
4y-8+8>10+8
4y>18
Now divide both sides by 4
4y/4 > 18/4
y>9/2
Now let's see if it will be true
Replace y by its value
4(9/2)-8>10
36/2 -8 > 10
18-8 > 10
10 > 10
That's false because 10 can not smaller than 10
so it should be = instead
Answer : False
I hope that's help:)
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.