The points of the graph are> (1,1), (2,2), (3,4), (4,8).
Then the sequence is:
- for the x-coordinate: 1, 2, 3, 4, 5, 6, 7, ...
- for the y-coordinate: 1, 2, 4, 8, which is: 2^0, 2^1, 2^2, 2^ 3, ... so the next y-coordinates are 16, 32, 64, 128, ...
So, the sequence is: 1, 2, 4, ,8, 16, 32, .... 2^x.
Answer:
x>=35
Step-by-step explanation:
-4(x+10)>= -7x + 65
-4x-40>= -7x+65
-4x+7x>=65+40
3x>=105
x>=105/3
x>=35
Answer: x = 1/16
Step-by-step explanation:
Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.
1. log B(2) {x} = -4 || given
2. x = 2 ^ -4 || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.
3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16
Answer:
1, 6.2 and 7/2
Step-by-step explanation:
