1. x= -13 x=13
2. (-5,-3)
3. x=-6 x=6
4. x=-5/6 x=5/6
Answer:
3
Step-by-step explanation:
3 + (-8) - (-8)
= 3 - 8 + 8
= 3
Answer:
y = 
Step-by-step explanation:
multiply 
by 
to get 
:
+ y - 
= 
simplify:
y + 
=
subract from both sides:
y =
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:
7000 meters
Step-by-step explanation:
We know that 1 km = 1000 meters
7 km * 1000m/km = 7000 meters
