Answer:
- geometric sequence with initial value 20 and common ratio 1/2
- average rate of change on [1, 3] = -7.5
Step-by-step explanation:
(a) The given points have sequential values of x and values of y that are each 1/2 the value before. The common ratio tells us the sequence is a geometric sequence.
(b) The first given point is (2, 10), so extrapolating backward, we determine the previous point to be ...
... (2-1, 10/(1/2)) = (1, 20)
Thus, we have enough information to determine the average slope between n=1 and n=3.
... (difference in y)/(difference in n) = (5 -20)/(3 -1) = -15/2 = -7.5
The speed is the ratio between the distance and the time:
Data:
d=6343miles
t=9h
Then, the plane traveled at a speed of 704.77 miles per hour.
Answer:
The coordinates of B' are (-3, 5).
Step-by-step explanation:
For every 90 degrees rotated, the coordinate numbers switch and one is multiplied by -1, when clockwise it's the 2nd one, and when counterclockwise, it's the 1st.
Answer:
y = 3x + 1
Step-by-step explanation:
Since we know the Graph is Parallel to y = 3x + 11, we know that the "mx" portion of the equation is 3x since only the "b" would be different.
Then we just substitute in the point and to find b.
4 = 3(1) + b
b = 1
y = 3x + 1 is the answer
-3/4 because it's negative and also you can work it out by using rise/run
