City P has a temperature of −4 °F. City Q has a temperature of −8 °F. Use the number line shown to answer the questions: Number line from negative 8 to positive 8 in increments of 1 is shown. Part A: Write an inequality to compare the temperatures of the two cities. (3 points) Part B: Explain what the inequality means in relation to the positions of these numbers on the number line. (4 points) Part C: Use the number line to explain which city is warmer. (3 points)

2

step-by-step explanation:

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