Answer:
Option A
f(x) = 12.5(1.6)^x
Step-by-step explanation:
The number of gnats the scientists have gathered
At 0 hours, they gathered 12 gnats.
Checking all the options, applying x = 0 makes the index part become 1 (Anything raised to the power zero is 1).
So, we have the following functions
f(x) = 12.5
f(x) = 12.6
f(x) = 6.2
f(x) = 1.6
This has reduced our work, as we can screen out options C and D, they are too far from 12. This leaves us with option A and B.
At 1 hour, they gathered 20 gnats.
Checking options A and B
A. f(x) = 12.5(1.6)
= 20
B. f(x) = 12.6(6.2)
By inspection, 12 × 6 is already 72,
12.6 × 6.2 will be more.
By these, we can conclude that f(x) = 12.5(1.6)^x has the best models the number of gnats the scientists have gathered after the number of hours listed in the given table.
Answer:
24.6
Step-by-step explanation:
Answer:
The number of packs are peanuts butter are 4 .
Step-by-step explanation:
As given
Kylee bought a pack of 12 cookies.
one-third if the cookies are peanut butter.
Thus
Number of packs are peanut butter = 4
Therefore the number of packs are peanuts butter are 4 .
Answer:
The reflection image of P(0, 0) after two reflections is (8,-6)
Step-by-step explanation:
step 1
Find the coordinates of point P after reflection across x=4
we know that
The distance from point P to the line x=4 is equal to 4 units
so
(0,0) -----> (4+4,0) ----> (8,0)
The reflection image of P is (8,0)
step 2
Find the coordinates of point (8,0) after reflection across y=-3
The distance from point (8,0) to the line y=-3 is equal to 3 units
so
(8,0) -----> (8,-3-3) ----> (8,-6)
