Answer:
Infinite series equals 4/5
Step-by-step explanation:
Notice that the series can be written as a combination of two geometric series, that can be found independently:
The first one: 
is a geometric sequence of first term (
) "1" and common ratio (r) " 
", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: 
The second one: 
is a geometric sequence of first term "1", and common ratio (r) " 
". Again, since the common ratio is smaller than one, we can find its infinite sum:
now we simply combine the results making sure we do the indicated difference: Infinite total sum= 
C. 17 r 1 is the correct answer
Find the equation of the first line using the two given points: (1,-1) (-1,-5)
Slope = change in Y over change in x:
Slope = (-5-(-1)) / (-1-(1) = -4/-2 = 2
Now find y intercept: y - y1 = m(x-x1) = y -(-1) = 2(x-1)
Simplify to get y = 2x-3
Now a perpendicular line has a opposite reciprocal slope.
The perpendicular line would be y = -1/2x - 3
You are told the y intercept is -4 units greater, so add -4 to -3 to get -7
The answer would be A. y = -1/2x-7
Answer:
a. 37
Step-by-step explanation:
Do 150 divided by 4 so you know how many tables there can be.
150/4
37.5 You can only have 37.5 tables so the awnser is A.37
