1)
2)
-10b = 3b - 13b
2)
-10b = 3b - 13b
Does anyone one know how to make a factor a decimal on the calculator
2 answers:
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Let's complete the square
f(x) = x^2 + 6x + 8
y = x^2 + 6x + 8
y-8 = x^2 + 6x
y-8+9 = x^2+6x+9 .... see note below
y+1 = (x+3)^2
y = (x+3)^2-1
note: I added 9 to both sides due to taking half of the 6, and then squaring that result.
We'll restrict x such that to ensure that this function is one-to-one.
Now we need to swap x and y, and solve for y to get the inverse
y = (x+3)^2 - 1
x = (y+3)^2 - 1
x+1 = (y+3)^2
(y+3)^2 = x+1
y+3 = sqrt(x+1)
y = sqrt(x+1)-3
g(x) = sqrt(x+1)-3 is the inverse
The graph is shown below. The original function is in red. The inverse is in blue. The inverse is the result of reflecting the red curve over the dashed line y = x. So this explains why x and y swap places. Consequently, the domain and range also swap as well.
Answer:
Hence when C.I. is 80% then Margin of error will be 1.9591%
Step-by-step explanation:
Given:
1st Margin of error(MOE)=3%
1st C.I.=95%
2nd C.I.=80%
To Find:
MOE at 80%
Solution:
The proportion is 64 % i.e. is constant for both MOE
Proportion is given by (P),
P=x/n
Where x= favors congressional terms
n= total voters or sampled voters.
There values are same or constant.
i.e standard deviation is also constant
Now Formula for MOE is given by
here Z is value for confidence interval
MOE is directly proportional to the Z-value
So
... where k is proportionality constant.
....ratio is constant
So , for 95 % Z=1.96 and for 80% Z=1.28
%