Answer:
Step-by-step explanation:
GIVEN: A hotel charges a 
annual fee plus an additional 
for each night you stay there.
TO FIND: average cost per night if you stay at the hotel for 
nights.
SOLUTION:
Annual fee charged by hotel 
amount charged each night we stay there 
Total number of nights we stay 
Total amount paid for nights
Total amount paid 
average cost per night 
putting values,
average cost per night 
Hence average cost per night if we stay at hotel for days is
Answer:
Step-by-step explanation:
(1, 2) (2, 7)
(7-2)/(2 - 1) = 5/1= 5
y - 2 = 5(x - 1)
y - 2 = 5x - 5
y = 5x - 3
Problem 4
Answer: 47
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Work Shown:
f(x) = x^2 - 7x + 3
f(x) = (x)^2 - 7(x) + 3
f(-4) = (-4)^2 - 7(-4) + 3 ... replace each x with -4
f(-4) = 16 - 7(-4) + 3
f(-4) = 16 + 28 + 3
f(-4) = 44 + 3
f(-4) = 47
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Problem 5
Answer: See the attached image for the table
------------------------
Work Shown:
Plug in n = 27 and we get...
C = 26 + 10*n
C = 26 + 10*27
C = 26 + 270
C = 296
The input n = 27 leads to the output C = 296. This means that 27 people will have the cost be $296
Do the same for n = 39
C = 26 + 10*n
C = 26 + 10*39
C = 26 + 390
C = 416
The input n = 39 leads to the output C = 416. This means that 39 people will have the cost be $416
and also n = 43 as well
C = 26 + 10*n
C = 26 + 10*43
C = 26 + 430
C = 456
The input n = 43 leads to the output C = 456. This means that 43 people will have the cost be $456
Answer: (x, y) transforms into (-x, y)
Step-by-step explanation:
When we do a reflection over a given axis, the distance between the initial point to the axis must be the same as the distance of the reflected point to the axis.
So if we do a reflection over the y-axis, then the value of y must be fixed.
So if we start with the point (x, y), the only other point that is at the same distance from the y-axis is the point (-x, y)
So the rule is, the y value remains equal and the x changes of sign.
All the angles must add to 180degrees in a triangle.
180 = 59 + 35 + x
180 = 94 + x
86 = x
Supplementary angles x and z add to 180
180 = x + z
180 = 86 + z
94 = z
Now the last triangle is with angles 11, z, and y
they must add to 180 so...
180 = 11 + z + y
180 = 11 + 94 + y
180 = 105 + y
75 = y
Hope this helps!
