If we know that 180-5=128 that means that that equation must be equal to 128.
(2^3x+1)=128
By putting 128 into exponential form with a base of 2 you get 2^7:
(2^3x+1)=2^7
Since these have the same bases we can set the exponents equal to 7. This will give us an exponent of 3x+1=7. By Subtracting across and dividing by 3 you get:
3x=6 to 3/3x = 6/2
This gives us a final answer of:
x=2
Answer:
C. The graph is always positive.
Explanation:
To solve this, it is basically a process of elimination. A is true since the -9 indicates the function was translated down 9 units, making the vertex lie on the y-axis. B is also true because if you look at the equation from 0 to infinity, the y-values increase. D is also correct because when you solve for the zeros, they do end up being 3 and -3, making the only claim that is not true C, the graph is always positive.
Answer:
Political appointments are short-lived in order to prevent autocracy, tyranny, and clinging on to power.
Explanation:
Power corrupts and absolute power corrupts absolutely. Humans have a tendency to be intoxicated by power. This is why most political positions run for just a few years after which the people can determine through voting on whether they will continue with the appointee or elect another person. The presidential and senatorial sectors of the United States democracy follow this system.
Presidents are allowed 4 years in office after which another election is conducted to determine their remaining or being removed. This prevents tyranny and the imposition of the opinions of a few against the majority.
