This is what a 45 degree angle looks like.
Good luck!
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:
306
Step-by-step explanation:
Take a list of primes and multiply each with the prime+1:
2*3 = 6
3*4 = 12
5*6 = 30
7*8 = 56
11*12 = 132
13*14 = 182
17*18 = 306
Answer:
<u>z = -4</u>
Step-by-step explanation:
<u>Given</u> :
- x = -2
- y = -5
- z divides xy in the ratio 2 : 1 (m : n)
<u>Solving</u> :
- Take the section formula
- z = [my + nx] / [m + n]
- z = [2 x -5 + 1 x -2] / [2 + 1]
- z = -10 - 2 / 3
- z = -12 / 3
- <u>z = -4 </u>
Answer:
4x+2(x+5)+1 simplified is 6x+11
Step-by-step explanation:
