If the equation is r = 3 +4cos(θ) then because b/a>1 the curve is a limacon with an inner loop.
Given limacon with equation r=3+4cos(θ) and we have to answer how the quotient of a and b relate to the existence of an inner loop.
Equation is like a relationship between two or more variables expressed in equal to form and it is solved to find the value of variables.
formula of polar graph is similar to r= a+ b cos (θ).
Case 1. If a<b or b/a>1
then the curve is a limacon with inner loop.
Case 2. If a>b or b/a<1
Then the limacon does not have an inner loop.
Here given that 
(θ)
It is observed that , a<b or b/a>1
Therefore the curve is limacon with an inner loop.
Hence because b/a>1 the curve is a limacon with an inner loop.
Learn more about limacon at brainly.com/question/14322218
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It should be around 13 percent I am not totally sure
Answer:
D : {x ∈ R : x≠1}
Step-by-step explanation:
The domain is what values of x can we put into the function and it still works
We cannot have the denominator equal zero
x-1 ≠0
Add 1 to each side
x-1+1 ≠0+1
x≠1
The domain is all real values of x except x=1
D : {x ∈ R : x≠1}
X=number of hours that the first plane had been traveling.
(x-2)=number of hours that the second plane had been traveling.
we can suggest this equation:
500x+550(x-2)=3100
Now, we can solve this equation:
500x+550(x-2)=3100
500x+550x-1100=3100
1050x=3100+1100
1050x=4200
x=4200/1050
x=4
Answer:
Equation: 500x+550(x-2)=3100
The amount hours, after the first plane left , when the planes will be 3100 miles would be 4 hours.
Number 1. is: <span>ANSWER $ 3000 (9.5%) + $4500 ( 6.5%) </span>
