Solve: 9^2x + 1 = 9^3x – 2

1/216

Step-by-step explanation:

Move variables to one side and constants to the other

9^3x-9^2x=3

factor out 9^2x

(9^2x)(8)=3

9^2x=3/8

3^4x=3/8

3^3x=1/8

x=1/8 x 27

x=1/216

x = 1/216

Step-by-step explanation:

Simplify the equation, like the powers.

81x + 1 = 729x - 2

Subtract 729x on both sides to balance the equation.

-648x + 1 = - 2

Then subtract 1 from both sides.

-648x = -3

Finally divide by -648, which then leaves x equal to 1/216

x = 1/216

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.