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.
__
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
______
The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
Answer:
x=7, so the smaller number is 7 and the larger number is 21.
Step-by-step explanation:
x=3x+5=33
Let x=3:
(3)+3(3)+5=3+9+5=17, not 33, so x is not 3
Let x=5:
(5)+3(5)+5=5+15+5=25, not 33, so x is not 5
Let x=7:
(7)+3(7)+5=7+21+5=33, so x=7
Let x=9:
(9)+3(9)+5=9+27+5=41, not 33, so x is not 9
Therefore x=7. Because x represents the smaller number, and the larger number is 3 times the smaller number, the smaller number is 7 and the larger number is 3(7)=21.
Answer: c
Step-by-step explanation:
4 2/3 into improper fracking would be 14/3 now times 3 , 3 and 3 go into 1 so your left with 24 so THATS the answer in other words it would be 42/3 which goes into 14 times:)
