Answer:
Step-by-step explanation:
Given the geometric sequence:
5, −10, 20, −40, ...
The first term is a = 5
And the common ratio = r = -10/5 = -2
The general rule of geometric sequence is
So, the rule for the given geometric sequence is:
Answer:
1
Step-by-step explanation:
You "complete the square" by adding the square of half the x-term coefficient. Here, that is ...
((-2)/2)² = 1 . . . . value added to complete the square
If you want to keep 0 on the right, you must also subtract this value:
x² -2x -36 = 0
x² -2x +1 -36 -1 = 0 . . . . . . add and subtract 1 on the left
(x -1)² -37 = 0 . . . . . . . . . . . written as a square
Answer:
C. -2
Step-by-step explanation:
To find the slope of the line we take two points
((0,1) and (2, -3)
and use the formula for slope
m= (y2-y1)/ (x2-x1)
= (-3-1)/(2-0)
= -4/2
= -2
Answer: The answer is (C) As the number of visitors to a park increases, the number of flowers in bloom at the park increases.
Step-by-step explanation: We are given four options out of which we are to select which relationship is likely ONLY a correlation and NOT one of causation.
Causation is defined as the determination of the cause or reason for some sort of phenomenon while a correlation is simply a recognised relationship between two things or events, but it does not imply causation.In cases of correlation, one thing or event predicts another.
So, in the options (A), (B) and (D), we can see both correlation and causation simultaneously, but in option (C), we can only see correlation, NOT causation.
Thus, the correct option is (C).
Answer:
Yes
Step-by-step explanation:
The definition of a rational number is a number that can be represented as a fraction. Since 56/7 is a fraction it must be a rational number. An irrational number is a number that cannot be represented as a fraction because it never ends and repeats without a pattern forever. An example of this is pi because pi can never exactly be represented as a fraction.
