Hi there!
Everything looks correct except for the step to get to -6x < 36. Here you put multiplication property of order, and to get here you have to add 30 to both sides, so it would actually be the addition property of order.
I hope I helped!
Answer:
f(n) = -6n - 10.
Step-by-step explanation:
This is arithmetic sequence with first term a1 = -16 and common difference d = -6.
So f(n) = a1 + d(n - 1)
= -16 - 6(n - 1)
= -16 - 6n + 6
= -6n - 10.
Checking:
f(10) = -6(10) - 10 = -70.
Answer:
We conclude that 'None of the above' is the correct answer.
Step-by-step explanation:
Given the expression

Breaking the expression into groups

Factor out
from

Factor out -2 from 

so the expression becomes


Factor out the common term 

Therefore, from the given options, we conclude that 'None of the above' is the correct answer.
Answer:
D
Step-by-step explanation:
they both equal each other. 5x+7=9x-63
then you would take 70 divided by 4
which equals 17.5
1. Answer: 15.7143
log (7x-10)=2
Use the identity: loga(x)=b = x=(a)(b)
7x-10=10^2
Evaluate the Power
7x-10=100
Addition Property of Equality
7x=110
Division Property of Equality
x=110/7 or 15.7143
2. Answer: 0.3107
log(3)+log(x^-3)=2
log(3x^-3)=2
log(3 x 1/x^3)=2
log(3/x^3)=2
3/x^3=10^2
3/x^3=100
3=100x^3
3/100=x^3
Answer Cube root 30 / 10 or 0.3107
3. Answer: 0.002
log(5) + log(x) = -2
log(5x)= -2
5x= 10^-2
5x=1/10^2
5x=1/100
x=1/500
Answer: 0.002
Honestly I could tell you the steps, but I do not have a lot of time. Sorry. I will comment later if you need the steps