Evaluate the series 4 – 2 + 1 – 0.5 + 0.25 to S10. Round to the nearest hundredth.
1 answer:
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Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .
First thing you have to do is divide up the 3 columns on the right so that all of the squares are the same size. (I did that in black, you can see it on the picture I attached). Then total all of the little squares. I did this in red, and got 50. Now just count up how many of the lighter colored squares you have, I highlighted them in yellow on my picture. I got 14 light squares. So you end up with fourteen light squares out of 50 total squares, which is 14/50. *apologizes for the bad handwriting on the image I did it on phone. If that didn’t help just comment and let me know what’s still unclear.
Answer:
Step-by-step explanation:
6 is the whole number, while 2 is the numerator and 5 is the denominator.