(9^x) - 3 = 2*3^x
(9^x) - 3 - (2*3^x) = (2*3^x) - (2*3^x)
(9^x) - (2*3^x) - 3 = 0
(3^2)^x - 2*(3^x) - 3 = 0
3^(2x) - 2*(3^x) - 3 = 0
3^(x*2) - 2*(3^x) - 3 = 0
(3^x)^2 - 2*(3^x) - 3 = 0
z^2 - 2*z - 3 = 0 ............ let z = 3^x
(z - 3)(z + 1) = 0
If z-3 = 0, then z = 3 when we isolate z
If z = 3, and z = 3^x, then
z = 3
3^x = 3
3^x = 3^1
x = 1
which is a solutin in terms of x
If z+1 = 0 then z = -1
If z = -1 and z = 3^x, then there are NO solutions for this part of the equation
The quantity 3^x is never negative no matter what the x value is
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Answer: x = 1
2t^2 =4t+3t=5t
5t+500
3t^2=9t+t=10t
10t+300
Multiply the two probabilities together.
Probability of spinning orange: 2/6 or 1/3
Probability of spinning brown: 3/6 or 1/2.
1/3 * 1/2= 1/6
1/2 * 1/2= 1/4
Final answers: For q1= 1/6; For q2= 1/4
Terms: 2, 8, 15. variables: x, y. coefficient:2,8
let me know if it’s correct!
You need to leave the y by himself
8x-2y=24 (subtract 8 on both sides)
-2y=-8x+24 (divide both sides by -2)
y=4x+12 done!
