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Answer:
(√9)^2x-1/2 = 1/81
3^2x-1/2 = 1/(3)⁴. (as √9 = 3)
3^2x-1/2 = 3^-⁴. (as 1/a^m = a^-m)
as base are equal exponents are equal
so 3 gets cancelled out
2x-1/2 = -4
(4x-1)/2 = -4
4x-1 = -8
x = -7/4
hope this helps
Step-by-step explanation:
2(n+9)=6 divide both sides by 2
n+9=3 subtract 9 from both sides
n=-6
check
2(-6+9)=6
2(3)=6
6=6
Bunny Hill Ski
10x+35
Diamond Ski
5x+40
To find when both resorts cost the same prices set them equal to each other
10x+35= 5x+40
Minus 35 over
10x = 5x +5
Minus 5x over
5x = 5
X= 1
When x= 1 both of the resorts will cost the same price. You can check by substitute x with 1. Hope this helps!