Answer:
a= (1,4)
b=(4,2)
c=(2,6)
d=(2,-1)
Step-by-step explanation:
All I did was looked at the regions the points began and ended. I'm not 100% this is correct but I hope I helped!
Good evening ,
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Answer:
1) (f+g)(1) = e
2) (fg)(1) = 0
3) (3f)(1) = 3e
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Step-by-step explanation:
1) (f+g)(1) = f(1) + g(1) = e¹ + log1 = e + 0 = e.
2) (fg)(1) = f(1) × g(1) = e¹ × log(1) = e¹ × 0 = e × 0 = 0.
3) (3f)(1) = 3×f(1) = 3×e¹ = 3e.
:)
Answer:
1.07 (15 + x) = 42.80
Step-by-step explanation:
Given data
CD= $15
Let the cost of the video game be x
The total cost= 15+x
Hence the equivalent expression is
1.07 (15 + x) = 42.80
open bracket
16.05+1.07x= 42.80
42.80-16.05= 1.07x
26.75=1.07x
x= 26.75/1.07
x= 25
Check
7% tax for CD
=0.07*15
=1.05
total =1.05+15
=$16.05
7% tax for Video game
=0.07* 25
=1.75
total =1.75+25
=$26.75
In all
=26.75+16.05
=$42.8
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.
