Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below. combine like terms: –10.9p + 3.9 = –9.18 apply the next steps to solve the equation. what is the solution? p =

The next steps are to:

1) subtract 3.9 from both sides

2) divide both sides by -10.9

3) p = 1.2

Step-by-step explanation:

To solve a multi-step equation, you need to first combine like terms, which was done for your to get the equation:  -10.9p + 3.9 = -9.18.  At this point, you have a two-step equation where you need to use inverse (opposite) operations to isolate the variable.  Whatever you do to one side of the equation, you do to the other:

1) -10.9p + 3.9 - 3.9 = -9.18 - 3.19 or -10.9p = -13.08

2) -10.9p/-10.9 = -13.08/-10.9

3) p = 1.2

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