Four members of a relay team evenly split the distance of a race. Each person ran more than 100 meters. Which inequality can be used to represent d, the total distance the group ran?

The total distance the group ran can be represented by d > 400 m

Step-by-step explanation:

The total distance the group ran can be got by summing up all the individual distances ran by each athlete.

Let the distance the first athlete ran be x

from the question, we know that x >100 m

since all four athletes ran the same distance, the total distance run , d will be four times the distance ran by an athlete.

d > 4 X 100

d > 400 m

The total distance the group ran can be represented by d > 400 m

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