Answer:
Step-by-step explanation:
1,000 (it needs 20 characters)...
Alaska has 4.91851852 thousand miles more than Florida coastline
Answer:
Those two pair of equations have the same solution set.
Step-by-step explanation:
There are two equations
(x-1)(x+3)=17+x ..... (1) and
(x-1)(x+3)+500=517+x ...... (2)
We have to check the same solution set will be there for equations (1) and (2) or not.
Now, we are going to rearrange the equation (2).
(x-1)(x+3)+500=517+x
⇒ (x-1)(x+3)=517-500+x
⇒(x-1)(x+3)=17+x
This is the same equation as equation (1).
Therefore, there will be the same solution set for equations (1) and (2). (Answer)
There are two equations
(x-1)(x+3)=17+x ..... (3) and
3(x-1)(x+3)+500=51+3x ...... (4)
We have to check the same solution set will be there for equations (3) and (4) or not.
Now, we are going to rearrange the equation (4).
3(x-1)(x+3)+500=51+3x
⇒ 3(x-1)(x+3)=3(17+x)
⇒(x-1)(x+3)=17+x
This is the same equation as equation (3).
Therefore, there will be the same solution set for equations (3) and (4). (Answer)
17) f(x) = 16/(13-x).
In order to find domain, we need to set denominator expression equal to 0 and solve for x.
And that would be excluded value of domain.
13-x =0
Adding x on both sides, we get
13-x +x = x.
13=x.
Therefore, domain is All real numbers except 13.
18).f(x) = (x-4)(x+9)/(x^2-1).
In order to find the vertical asymptote, set denominator equal to 0 and solve for x.
x^2 -1 = 0
x^2 -1^2 = 0.
Factoring out
(x-1)(x+1) =0.
x-1=0 and x+1 =0.
x=1 and x=-1.
Therefore, Vertical asymptote would be
x=1 and x=-1
19) f(x) = (7x^2-3x-9)/(2x^2-4x+5)
We have degrees of numberator and denominator are same.
Therefore, Horizontal asymptote is the fraction of leading coefficents.
That is 7/2.
20) f(x)=(x^2+3x-2)/(x-2).
The degree of numerator is 2 and degree of denominator is 1.
2>1.
Degree of numerator > degree of denominator .
Therefore, there would no any Horizontal asymptote.
