1 (5) = 5
7/10(5/1) = 35/10
Simplify.
35/10 = 3 5/10 = 3 1/2
5 + 3 1/2 = 8 1/2
Lucas ran 8 1/2 miles in 5 days.
Answer: you need a x and y axis to get this answer
Step-by-step explanation: first you put the (3,5) and (3,-7) in a graph paper then make an y and x axis and you will be able to see your answer visually
Y = 2 ( X - 3 ) ^ 2 - 4 =-4
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
