Step-by-step explanation:
For example:
Ex: 2:3 :: 6:9
In this question, the means are 3 and 6.
The extremes are 2 and 9.
We use this method to find whether the two ratios are equal or not.
We multiply the means and the extremes, and if there products are same, then these two ratios are proportional.
If these two ratios are proportional, their "means" = "extremes"
=> Means = Extremes
=> 3 x 6 = 2 x 9
=> 18 = 18
So, these two ratios are proportional.
Hope this helps you.
Answer:
Concept: Algebraic Analysis
- Those two symbols indicate one solution
- Those symbols indicate a range of values
- Indicates two bounded answers
- In an inequality there is always a solution
A bar graph is a chart that uses bars to show comparisons of different types of data. The bars can either be horizontal or vertical. They are always straight if I’m not mistaken
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.
Both angles have to be 90 so if you find the value for x for one you get the other one ahmatically answer is 22 btw :)
