Simplify the expressions 3x+5y+12 2x-y and 9x+2y-2

Step-by-step explanation:

(3x + 5y + 12) + (2x - y) +(9x + 2y-2)

= 3x + 5y + 12 + 2x - y + 9x + 2y - 2    {Bring like terms together}

= 3x + 2x + 9x  +5y -y + 2y     + 12 -2

= 14x + 6y +10

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