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.
The answer is 36 because you have to multiply it and divide getting your the answer.
Answer: Id say b
Step-by-step explanation: a would be too high and a bit too detailed. Whereas c and d will be inaccurate.
8(x - 6) = 4x
Distribute.
8x - 48 = 4x
Subtract 8x from both sides.
8x -8x - 48 =4x -8x
Now you have...
-48 = -4x
Divide -4 by both sides.
-48/-4 = -4x/-4
12 = x
The number is 12.
Hello from MrBillDoesMath!
Answer:
For y = 4x, the domain of the function is all real numbers. This can be indicated as ( -infinity, infinity),
...later part of question:...
..."because an exponent can be any real"
exponent? !!!
Did you mean y = 4^x ? In this case the domain of y is all real numbers ann the range is (0, infinity), where the value 0 is not included in the range.
Thank you,
MrB
