d=
Let's simplify step-by-step.
p+6pq−2pq−129
=p+6pq+−2pq+−129
Combine Like Terms:
=p+6pq+−2pq+−129
=(6pq+−2pq)+(p)+(−129)
=4pq+p+−129
Answer:
=4pq+p−129
g=
Let's simplify step-by-step.
2x−3y+b(3y−2x)+2.718282−(2x−3y)
Distribute the Negative Sign:
=2x−3y+b(3y−2x)+2.718282+−1(2x−3y)
=2x+−3y+b(3y−2x)+2.718282+−1(2x)+−1(−3y)
=2x+−3y+b(3y−2x)+2.718282+−2x+3y
Distribute:
=2x+−3y+(b)(3y)+(b)(−2x)+2.718282+−2x+3y
=2x+−3y+3by+−2bx+2.718282+−2x+3y
Combine Like Terms:
=2x+−3y+3by+−2bx+2.718282+−2x+3y
=(−2bx)+(3by)+(2x+−2x)+(−3y+3y)+(2.718282)
=−2bx+3by+2.718282
Answer:
=−2bx+3by+2.718282
Answer:
a). N = 2
b). N = 16
c). t = 624 minutes
Step-by-step explanation:
Exponential model that shows the rumor spread through a group is

Where N = Number of teenagers who have heard the rumors
t = Duration after the rumor first started
(a). At the time t = 0

N = 2
Therefore, 2 teenagers started the rumor.
(b). At t = 5 hours
N = 
N = 15.96
N ≈ 16
16 teenagers heard the rumors after 5 hours.
(c). If N = 150
150 = 
75 = 
log(75) = 0.7t(log1.81)
1.87506 = 0.7t(0.25767)
t =
t = 10.395 hours
t ≈ 624 minutes
Therefore, after 624 minutes or rumor will be heard by 150 teenagers.
Answer:
x=6
Step-by-step explanation:
6 minus 2 is 4 and 4 divided by two is 2