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
Answer:
720 degrees
Step-by-step explanation:
one full rotation is 360 degrees
360 + 360 = 720
Answer:
11, 13, 17, 19
Step-by-step explanation:
If you look at the prime numbers chart between 10 and 20, there are:
11, 13, 17, 19
Those are all of the prime numbers that are between 10 and 20.
Hi don’t know but have a wonderful day
Answer:
<em>The input when the output is 17 is x=6.</em>
Step-by-step explanation:
<u>Functions</u>
Assume the input is called x and the output is the function f(x). Two times the input is 2x. 5 more than that is 2x+5.
Knowing the output of the function is 5 more than 2 times the input, we can write the function as:
f(x)=2x+5
Now find the input x when the output is 17:
17=2x+5
Swap sides of the equation:
2x+5=17
Subtract 5:
2x=17-5=12
Divide by 2:
x=12/6=6
The input when the output is 17 is x=6.
