Answer:
k=3
Step-by-step explanation:
2(4k+3)−13=2(18−k)−13
2(4k+3)−13=2(18−k)−13
(2)(4k)+(2)(3)+−13=(2)(18)+(2)(−k)+−13
8k+6+−13=36+−2k+−13
(8k)+(6+−13)=(−2k)+(36+−13)
8k+−7=−2k+23
8k−7=−2k+23
8k−7+2k=−2k+23+2k
10k−7=23
10k−7+7=23+7
10k=30
10k/10=30/10
k=3
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.
A) What time of the day do my friends eat their biggest meal?
<span>B) How many times each week do my friends eat out? </span>
<span>C) What types of foods do my friends prefer?
</span>
Answer:
D
Step-by-step explanation:
Brainliest?
