Perform the indicated operation. State the domain restrictions
2 answers:
Answer:
Step-by-step explanation:
Domain has all values of x ( think X marks the spot on your domain) so the restrictions come in those cases from the fact that a fraction can NOT have the denominator 0 because dividing by 0 is not allowed.
5.
here x+1 0 and x+3
0 so the domain restrictions are x
-1 and x
-3
to solve you need to factor x^2 -6x-27
you can do it by using
x^2 - Sx +P = 0 where S= root 1 +root 2 and P = root 1*root2
so in our case Sum has to be 6 and Product -27, what 2 numbers add to 6 and their product is -27? ....-3 and 9; S= -3+9 = 6 and P= -3*9 = -27
it will factor in (x-root 1) (x-root 2)
x^2 -6x-27 = (x+3)(x-9)
simplify x+1 and x+3
x-9
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Answer:
We conclude that the equation of the line is:
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the data table
x -3 -5 -7 -9 -11
y -16 -26 -36 -46 -56
From the table taking two points
- (-3, -16)
- (-5, -26)
Determining the slope between (-3, -16) and (-5, -26)
Thus, the slope of the line is: m = 5
substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b
-16 = 5(-3) + b
-16 = -15 + b
b = -16+15
b = 1
Thus, the y-intercept b = 1
now substituting m = 5 and b = 1 in the slope-intercept form of the line equation
Therefore, we conclude that the equation of the line is: