The function would be f (x) = 0.4x - 4.
Explanation
We can see that this is linear, since it increases at a constant rate. We find the slope using the formula
m=(y₂-y₁)/(x₂-x₁) = (0.8-0.4)/(12-11) = 0.4/1 = 0.4
We use point-slope form to write the initial equation:
y-y₁ = m(x-x₁)
y-0.4 = 0.4(x-11)
Using the distributive property:
y-0.4 = 0.4*x - 0.4*11
y-0.4 = 0.4x-4.4
Add 0.4 to both sides:
y-0.4+0.4 = 0.4x-4.4+0.4
y=0.4x-4
The value of theta where we do not have a vertical asymptote is θ = 0.
<h3>
Where we do not have a vertical asymptote?</h3>
The vertical asymptotes happen when the denominator becomes equal to zero.
For our case, we have:
tan(θ) = sin(θ)/cos(θ).
So the vertical asymptotes are for the values of θ where the cosine is equal to zero. Particularly, cos(0) = 1, then in θ = 0 the denominator is not equal to zero, which means that at that value we do not have an asymptote.
Then the correct option is B.
If you want to learn more about asymptotes.
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Answer:
125.66
Step-by-step explanation:
C = 2πr = 2·π·20 = 125.66371
Answer:
Integers: Withdrawing $50 from a bank
Absolute Value: The balance on your account will be decreased by $500.
Decimals: 0.5 of an orange, or 0.2 cups of water.
Step-by-step explanation:
