Answer:
Step-by-step explanation:
Given: f(x)=5x^3-51x^2+77x+100/x^2-11x+24
Please use parentheses to eliminate any ambiguity:
f(x) = (5x^3-51x^2+77x+100) / (x^2 - 11x + 24)
or (better yet):
5x^3-51x^2+77x+100
f(x) = ---------------------------------
x^2 - 11x + 24
The vertical asymptotes here are at the zeros of the denominator:
x^2 - 11x + 24 = 0, This quadratic equation has coefficients a = 1, b = -11 and c = 24. Thus, its roots (zeros) are:
-(-11) ± √( 121 - 4(1)(24) )
x = -------------------------------------
2(1)
or:
11 ± √( 25 )
x = --------------------
2
or: x = 8 and x = 3
The vertical asymptotes are x = 8 and x = 3.
If we attempt to divide x^2 - 11x + 24 into 5x^3 - 51x^2 + 77x + 100, we see that the first term of the quotient is 5x. As x increases or decreases without bound, 5x goes to either ∞ or -∞, so we conclude that there is no horiz. asymptote. Continuing this division results in:
5x + 4 + a fraction
This represents the slant asymptote, y = 5x + 4
Question -
____ lines are not contained in the same plane.
Answer -
Skew lines are not contained in the same plane.
Extra :
Lines that are contained in the same plane are called <em>coplanar lines</em>.
- Marlon Nunez
Answer:
Step-by-step explanation:
Given:
The function 
passes through the point 
.
For function to transform to 
, the graph has to translate 2 units to left.
Therefore, the point will have to move 2 units to left.
Moving 2 units left means the 
value of the point has to reduce by 2 units.
The value of the point is 2.
So, new value after translation will be 
.
Therefore, the graph of must pass through .
Answer:f(2x+2)=4x2+2x−2
Step-by-step explanation:
