Answer:
a₁ = 23/100 and r = 1/100
S = 23/99
Step-by-step explanation:
The sum of an infinite geometric series is:
S = a₁ / (1 − r)
where a₁ is the first term of the series and r is the common ratio.
0.23 repeating is 0.232323... To convert this to a fraction using the above equation, first we must write this as a series:
0.23 repeating = 0.23 + 0.0023 + 0.000023 + ...
The first term is 0.23, and the common ratio is 0.01.
Therefore, a₁ = 0.23 and r = 0.01. Or, in fraction form, a₁ = 23/100 and r = 1/100.
Plugging this into the equation, we can convert 0.232323... to a fraction.
S = (23/100) / (1 − 1/100)
S = (23/100) / (99/100)
S = 23/99
Answer:
26 bc it is equall
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can use the intercept form of the equation of a line, then solve for y.
<u>Intercept form</u>
x/(x-intercept) +y/(y-intercept) = 1
x/-4 +y/8 = 1
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Solving for y, we have ...
-2x +y = 8 . . . . multiply by 8
y = 2x +8 . . . . add 2x
The coefficient of x is 2, so the slope is 2.
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The graph shows you the rise is 8 for a run of 4, so ...
slope = rise/run = 8/4
slope = 2
Linear combination method just means to add the equations so that one variable with cancel. In this case the a values are already set up so that they will cancel.
2a + 3b = 1
-2a + b = 11
4b = 12
b = 3
now put 3 back into either of the original equations and solve for a.
2a + 3(3) = 1
2a + 9 = 1
2a = -8
a = -4
(-4,3)
