The infinite geometric series is converges if |r| < 1.
We have r=1/6 < 1, therefore our infinite geometric series is converges.
The sum S of an infinite geometric series with |r| < 1 is given by the formula :
We have:
substitute:
Answer: d. Converges, 504.
f(5) is -8 ⇒ 1st answer
Step-by-step explanation:
Function is a relation between set of of ordered pairs (x , y),and every x has only one y
Examples:
- {(-1 , 2) , (2 , 4) , (5 , -3)} is a function because x = -1 has only y = 2, x = 2 has only y = 4 and x = 5 has only y = -3
- {(-2 , 4) , (0 , -1) , (-2 , 5)} is not a function because x = -2 has y = 4 and 5
The notation of the function is f(x) = y
The table:
→ x : f(x)
→ -4 : -2
→ -1 : 5
→ 3 : 4
→ 5 : -8
From the table
∵ x = -4
- The corresponding value of y to x = -4 is -2
∴ f(-4) = -2
∵ x = -1
- The corresponding value of y to x = -1 is 5
∴ f(-1) = 5
∵ x = 3
- The corresponding value of y to x = 3 is 4
∴ f(3) = 4
∵ x = 5
- The corresponding value of y to x = 5 is -8
∴ f(5) =-8
f(5) is -8
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Answer:
–0.83
Step-by-step explanation:
An r-value, or correlation coefficient, tells us the strength of the correlation in a linear regression. This number ranges from -1 to 1; -1 is a perfect linear fit for a decreasing set of data, while 1 is a perfect linear fit for an increasing set of data.
The closer the r-value is to either -1 or 1, the stronger the correlation is.
The two negative numbers we have are -0.83 and -0.67. The first one, -0.83, is 0.17 away from -1. -0.67, on the other hand, is 0.33 away from -1. The two positive numbers we have are 0.48 and 0.79. The first one, 0.48, is 0.52 away from 1. The second one, 0.79, is 0.21 away from 1. The one that is closest to the perfect fit is -0.83, since it is only 0.17 away from a perfect fit.
Answer:
thats quadrant 2
Step-by-step explanation:
