Answer:
x<16
Step-by-step explanation:
number<em> n
</em>
eight less than four times a number ... 4 x <em>n</em> - 8
is less than 56 ... < 56
4 x <em>n</em> - 8 < 56
4 x <em>n</em> < 56 + 8
4 x<em> n</em> < 64/4
<em>
n</em> < 64 / 4
<em>n</em> < 16
Answer:
Step-by-step explanation:
The midpoint between two points is just the average of the coordinates.
mp=((x2+x1)/2, (y2+y1)/2)
mp=((-6-2)/2, (-8-6)/2)
mp=(-4, -7)
"Part A: What is the y-intercept of the function, and what does this tell you about the horse? (4 points)" The y-intercept is (0,8), which tells us that at the beginning the horse is 8 miles from the barn.
"Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points)" The value of the function at x=1 is 58 and that at x=3 is 158. Thus, the change in the horse's distance from the barn is 158-58, or 100 feet. The time period involved here is 2 sec. Thus, the average rate of change of the horse's position with respect to time is
100 feet
average rate of change = ---------------- = 50 ft/sec
2 sec
If the horse were to move steadily at a fixed rate from 58 feet to 158 feet from the barn, its average rate would be 50 ft/sec.
"Part C: What would be the domain of the function if the horse continued to walk at this rate until it traveled 508 feet from the barn? (2 points)"
Here time begins at x=0 and ends at x=4 sec. Thus, the appropriate domain here is [0,4] sec.
we know that
In an Arithmetic Sequence the difference between one term and the next is a constant
where
a1 is the first term
d is the common difference between terms
n is the number of months (in this problem)
case a) Mandy
------> equation 
in this equation the first month is April
case b) Bill
-------> equation 
In this equation the first month is May
With the equation and the equation
calculate the attached table
therefore
the answer is
December
