Answer:
Step-by-step explanation:
Linear function:
A linear function has the following format:
In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope: 
So
Finding b:
We replace one of the points. Replacing (4,80).
So
Point slope formula: y-y1=m(x-x1). Answer: y-7=6(x-(-4))
Answer:
5 units
Step-by-step explanation:
±√(- 2 - 1)^2 + (- 1 - 3)^2 = ±5 (rej - 5 since distance > 0)
Apply distance formula
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Answer:
7-12 is 5
Step-by-step explanation:
First you want to turn this into addition and make 12 it's inverse 7+(-12) now with 7+(-12) it is basically 12-7. 12-7=5 so your answer is 5
Answer:
42.9m
Step-by-step explanation:
The topic is on similar triangle
you are comparing triangle MNP with triangle MAB
side AB is similar to NP
side MA is similar to MN
side MB is similar to MP
now MA = MN - AN
= 67.2 - 32
= 35.2m
MA/MN = MB/MP
35.2/67.2 = x/81.9
cross multiply and solve
x = 42.9m
