Answer:
No solutions
Step-by-step explanation:
31 times any positive number cannot be a negative number.
Plug in -3 for x into the equation.
(1/4)^-3
And solve
(1/4)^-3 = 64
Given:
3,6,9,12,15,18...
We need to find the difference.
The difference between 3 and 6 is 6-3 =3.
The difference between 6 and 9 is 9-6 =3.
The difference between 9 and 12 is 12-9 =3.
The difference between 12 and 15 is 15-12 =3.
The difference between 15 and 18 is 18-15 =3.
Recall that linear have equal differences.
We get an equal difference between each value.
The form of the equation is
Hence the given is linear.
Answer:
7
Step-by-step explanation:
Answer:
It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.
Step-by-step explanation:
Use exponential decay formula:
A = P (1-r)t
A = amount decreased to
P = original amount
r = rate of decrease
t = time
6 ≥ 12 (1-0.10)t divide both sides by 12
0.5 ≥ (0.9)t take log of both sides
log (0.5) ≥ log (0.9)t power rule of logs lets the exponent t drop to front of log to become a factor
log (0.5) ≥ t log(0.9) divide both sides by log(0.9) which is negative so reverse the inequality sign
log (0.5) / log (0.9) ≤ t use calculator
6.57 ≤ t
It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.
check:
12 (0.9)7≈ 5.73
12 (0.9)6 ≈ 6.37
