Which statements are true for solving the equation 0.5 – |x – 12| = –0.25? check all that apply.
a-the equation will have no solutions.
b-a good first step for solving the equation is to subtract 0.5 from both sides of the equation.
c-a good first step for solving the equation is to split it into a positive case and a negative case.
d-the positive case of this equation is 0.5 – |x – 12| = 0.25.
e-the negative case of this equation is x – 12 = –0.75.
f-the equation will have only 1 solution

i believe the correct answer is b.

table 3 represents a direct variation function. : )

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

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies