a) The polynomial in expanded form is 
.
b) The slant asymptote is represented by the linear function is 
.
c) There is a discontinuity at 
with a slant asymptote.
a) In this question we are going to use the Factor Theorem, which establishes that polynomial are the result of products of binomials of the form 
, where 
is the i-th root of the polynomial and the grade is equal to the quantity of roots. Therefore, the polynomial 
has the following form:
And the expanded form is obtained by some algebraic handling:
(1)
The polynomial in expanded form is .
b) In this question we divide the polynomial found in a) (in factor form) by the polynomial 
(also in factor form). That is:
(2)
The slant asymptote is defined by linear function, whose slope (
) and intercept (
) are determined by the following expressions:
(3)
![b = \lim_{x \to \pm \infty} [g(x)-x]](https://tex.z-dn.net/?f=b%20%3D%20%20%5Clim_%7Bx%20%5Cto%20%5Cpm%20%5Cinfty%7D%20%5Bg%28x%29-x%5D)
(4)
If , then the equation of the slant asymptote is:
The slant asymptote is represented by the linear function is .
c) The number of discontinuities in rational functions is equal to the number of binomials in the denominator, which was determined in b). Hence, we have a discontinuity at with a slant asymptote.
We kindly invite to check this question on asymptotes: brainly.com/question/4084552
First count the fully shaded boxes than count each half knowing two halfs equal one
1)32
2)22
3)22
4)12
I think you divide 5/9 divided by 2/3.
5/9 divided by 2/3=4/3 simplified=2/3.
Just know I'm terrible at math so this could be like totally off the hook crazy and wrong.
May be 23. cause you’re trying to find the length from F to H. the length from F to G is 11 and G to H is 12. so just add them together and you got 23. FH = 23
If sum of numbers (a) +(b) is 1419 and
(a) and (b) are <span>neighbors , whe have:
a + b = 1419 and b-a = 1;
<=> </span>a + b = 1419 and <span>a = b-1 ;
so we have b-1 + b = 1419 <=> 2b = 1420 <=> b=710 and a = 709
Answer: 710 and 709
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