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
Answer:
3, 4, 5, 6
Step-by-step explanation:
they are on the inside and that's what interior is
Your answer is: $3.15 each.
Here are the steps:
First, I added $2.82 and $1.43. Then, I subtracted the sum ($4.25) from $20. Lastly, I divided the difference($15.75) by five because there were five pineapples. Which gave me the answer: $3.15.
5
1/4n + 3
Plug 8 in for n so 1/4(8) + 3
1/4 x 8 = 2
2 + 3 = 5
Circumference = (pi)(diameter)
As the deameter is 8, the answer is C. <span>8π m</span>
