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:
Function: C = 500 / n
Jane must recruit 20 more contributors or 25 contributors in total for the cost of each share to be $20.
Step-by-step explanation:
1. Cost per share, C, with respect to the number of contributors, n is
C = 500 / n
So, with 5 contributors, the price is $100 per share. $100 = 500/5
2. C= $20
20= 500 / n
20 * n = 500 * n
20n = 500
n= 25
She already has 5 contributors, so she needs 20 more.
Leave the slope alone in the y=mx+b equation but solve for b by plugging in your point
y=3/4x-12
Answer:
Step-by-step explanation:
a= 18 degrees
b= 36 degrees
c= 108 degrees
