Answer:
8 - 2x <4 gives us x>2
|x-8| >22 gives us (-inf, -14) and (30,inf)
|x+5| < 4 gives us (-9,-1)
Step-by-step explanation:
Inequalities differs from equalities in that they return a range of values for x and not a single value (case of equalities)
The first one
8 - 2x <4 if you subtract every side 8, you will get -2x<-4
Next divide every side with -2, since its a negative number you have to change the orientation of the inequaiity, thus we have x>4/2, x>2
The second
|x-8| >22, it has to be treated as this. -22>x-2>22 which can be treated as two single inequalities, -22>x-8, and the other, x-8>22. The fist gives you x<-14, and the other x>30, two non intercepting ranges, so your range will be (-inf, -14) and (30, inf)
The third
|x+5| < 4 if you apply the same steps from above, you will have the following -4<x+5<4 This results in two intercepting ranges, giving you the range (-9,-1)
Common factor of which term?
I do see that the 1st term can be re-written as (3x)y^2, so (?) is y^2.
Answer:
Is the question to develop the equation for the straight line shown?
If so,<u> y = (3/4)x + b</u>
Step-by-step explanation:
Look for an equation with the form y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).
Calculate Slope using the Rise/Run.
Pick any two points. I chose (-4,0) and (4,6).
Going from left to right:
Rise = (6 - 0) = 6
Run = (4 - (-4)) = 8
Slope is Rise/Run, 6/8 or 3/4
So we have: y = (3/4)x + b
We can see that the y-intercept, b, is 3 (the value of y when x = 0).
The full equation becomes :<u> y = (3/4)x + 3 </u>
Using the quadratic formula, plug a=2, b=3, and c=4 into the formula because the equation given can not be factored.
x= -3(+/-) radical (3^2-4*2*2)/2(2)
therefore, x= (-3+ radical 7 i) / 4
x= (-3- radical 7 i )/ 4.
the answer choice is 1.
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Answer:
B. Te procedure for constructing the confidence interval is robust. The larger the sample size, the more resistance the mean. Therefore, the confidence interval is more robust.
Step-by-step explanation:
Misentered data illustrates the concept that if the sample size is larger it will be more resistance to mean. This means confidence interval is more robust. In statistics, robust is a modification of confidence interval. It refers to strength of statistical model. Robust statistics is resistant to errors in statistical model.
