<em><u>Question:</u></em>
Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)
<em><u>Answer:</u></em>
The vertical asymptotes are x = 2 or x = -1
<em><u>Solution:</u></em>
Given that,

For vertical asymptotes, set the denominator to zero and then solve the quadratic equation


Thus the vertical asymptotes are x = - 1 and x = 2
Answer:
=3/2
=−2
2Step-by-step explanation:
Answer:
Step-by-step explanation:
<u><em>First time drawing:</em></u>
Total outcome is 8
Favorable outcome is 2
The probability that the first marble drawing in random is blue is
=
<u><em>Second time drawing (with no replacement): </em></u>
Total outcome is 7 (8 - 1 = 7)
Favorable outcome is 2
The probability that the second marble drawing in random is yellow is
<em>The probability that the first marble is blue and the second marble is yellow is</em>
×
=
=
<em>Answer:</em>
–6.8
<em>Method:</em>
Counting backwards from –7 to –6.5
Answer: 36.9
Step-by-step explanation:
For this question you have to find out whether you are using Sin, Cos or Tan.
To work out which one you are using you can use SOH CAH TOA to help you.
SOH- The 'S' is for Sin, the 'O' and the 'H' is for Opposite over Hypotenuse.
CAH- The 'C' is for Cos and the 'A' and the 'H' is for Adjacent over Hypotenuse.
TOA- The 'T' is for Tan, the 'O' and the 'A is for Opposite over Adjacent.
As you have the Opposite (the side opposite the angle we're looking for) and the Adjacent (the side next to the angle were looking for) we would be using Tan.
So first you would have to write:
Tanθ=3/4
Then because we want Theta (θ) on it's own we would have to do the inverse to 'undo' the equation. Tan-1 is the inverse of Tan.
θ=Tan-1 3/4
To find the answer you would have to put it in your calculator.
θ=36.9
Hope this helps :)