Pick any value in the y column of the table. I'm going to pick 81. Divide the value you picked by the previous y value, which in my case would be 9
Dividing the values gives: 81/9 = 9
So the base is 9. We multiply each y value by 9 to get the next y value
Eg: to go from 1/81 to 1/9, we multiply by 9. Same for 1/9 to 1, and so on.
Answer: Choice B) 9
Note: This trick only works because x is increasing by 1 each time
Answer:
Step-by-step explanation:
Given the equation
Note that
and
Combined, 
Solve the equation:
Since 
this is the solution to the equation.
Answer:
Yes
Step-by-step explanation:
Answer:
Step-by-step explanation:
a) Mapping the graphs
Mapping one graph (A) onto another (B) means that each vertical line through a point in A intersects the graph of the B at only one point.
In the diagram, the graph of ƒ(x) = √(x² + 9) is the blue line and the graph of g(x) = 5 + √(x² + 9) is in green.
Each vertical line through ƒ(x) intersects g(x) in only one point.
For example, a vertical line from (4, 0) intersects ƒ(x) at (4, 5) and g(x)
at (4, 10).
Every point in g(x) is five units higher than the corresponding point in ƒ(x).
Thus, mapping ƒ(x) onto g(x) is a translation of five units upward.
b) Integration
![\int_{2}^{11}{(5 + \sqrt{x^{2}+9})}dx \approx [5x]_2^{11}+65\\](https://tex.z-dn.net/?f=%5Cint_%7B2%7D%5E%7B11%7D%7B%285%20%2B%20%5Csqrt%7Bx%5E%7B2%7D%2B9%7D%29%7Ddx%20%5Capprox%20%5B5x%5D_2%5E%7B11%7D%2B65%5C%5C)
<span>Pi / 3.14</span><span>
Where pi is defined as the ratio of a circle’s circumference
divided by the diameter of the its circle. Pi has a value which is 3.1416. This
pi is a constant value expressed by the quotient of its circumference over the diameter.
What type of number best describes the diameter is the pi. Hence, if we
describe the diameter, diameter is the quotient of pi over the circumference of
a circle by itself. It can’t change in value since for every solution and
quotient of a circle each calculation gets 3.14 more or less. </span>
