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:
B) 
Step-by-step explanation:
First simplify the radical on the right.
is equal to 
, because 25 * 3 is 75, so we can separate the square roots into the product of these two square roots.
Then we know 
is just equal to 25, which means the simplified version of is 
.
Then we can use this new representation to finish solving.
, so the answer would be B
Answer:
21/32 square inches.
Step-by-step explanation:
The area of a rectangle = length x width
The area of her picture = length x widht
= 7/8 x 3/4
= 21/32
The area of her picture is 21/32 square inches.
Yes, I agree the area of the picture is 21/32 square inches.
The area must be in square inches. So she need to specify it.
Thank you.
t is the number of hours Lamar worked as a tutor
We know that he worked for 92 hours total, so he worked 92-t hours as a waiter.
So his earnings are: 7t + 8(92-t) = 736 -t dollars
This expression seems logical as if Lamar worked 0 hours as a tutor and 92 as a waiter his earnings would be 8*92 = 736
If he worked as a tutor for 92 hours it would be 7*92= 644
736-92= 644
So our expression seems to be working.
