Answer:
y = 0
Step-by-step explanation:
It is always a good idea to look at the question and make some observations about it. Here, you might observe ...
- all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
- y is a factor of every exponent
The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.
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To solve the equation, you can write it in terms of powers of 3.
(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)
3^(-5y) = 3^(-15y)·3^(-4y)
3^(-5y) = 3^(-19y)
-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3
14y = 0 . . . . . . . . . . add 19y
y = 0 . . . . . . . . . . . one solution
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The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
A) f + s + t = 148
B) f + 10 = s
C) t = 4 * f
Substituting C) into A)
A) f + s + 4f = 148
Substituting B) into A)
A) f + f + 10 + 4f = 148
A) 6f = 138
f = 23
B) f + 10 = s
s = 33
t = 4 * 23
t = 92
23 + 33 + 92 = 148
Answer:
x=-1
Step-by-step explanation:
The axis is the highest or lowest point on a parabola.
I'm adding my answer again cuz it was taken down.
Subtract the sum of the two angles from 180 degrees.
Answer: D and F
Step-by-step explanation:
