Renting video games from store a costs $3.50 per game plus a monthly fee of $7.50. renting video games from store b costs $5.00 per game with no monthly fee. the monthly cost to rent video games depends on the number of video games, v rented. which inequality represents the situation when the monthly cost at store a is less than the monthly cost at store b? a) 3.5v + 7.5 > 5v b) 3.5v + 7.5 < 5v c) 3.5v + 5 > 7.5v d) 3.5v + 5 < 7.5v

B.

Step-by-step explanation:

Let v represents the number of video games.

The monthly cost to rent video games depends on the number of video games, v rented.

Given : Renting video games from Store A costs $3.50 per game plus a monthly fee of $7.50.

Then total monthly cost for renting games from Store A =

Renting video games from Store B costs $5.00 per game with no monthly fee.

Then total monthly cost for renting games from Store B =

The inequality represents the situation when the monthly cost at Store A is less than the monthly cost at Store B will be :-

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752