The expression looks like: 3y-7
Answer: (a) a = 3, and d=
(b) 
Step-by-step explanation:
Since we have given that
Arithmetic sequence be
As we know that
a denotes the first term.
d denotes the common difference.
So, 
Hence, a = 3, and d=
Hence, (b)
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
-44>-2x-8
Add 8 on both sides
-36>-2x
Divide by -2 dice your x can't be negative
18<x
The sign flips when you divide by a negative. Therefore if the question is a true or false question, the answer would be false
Answer:
1/6
Step-by-step explanation:
Probability= no. of possible outcomes÷ no. of total outcomes
