Expression: f(x) = [x - 4] / [x^2 + 13x + 36].
The vertical asympotes is f(a) when the denominator of f(x) is zero and at least one side limit when you approach to a is infinite or negative infinite.
The we have to factor the polynomial in the denominator to identify the roots and the limit of the function when x approachs to the roots.
x^2 + 13x + 36 = (x + 9)(x +4) => roots are x = -9 and x = -4
Now you can write the expresion as: f(x) = [x - 4] / [ (x +4)(x+9) ]
Find the limits when x approachs to each root.
Limit of f(x) when x approachs to - 4 by the right is negative infinite and limit when x approach - 4 by the left is infinite, then x = - 4 is a vertical asymptote.
Limit of f(x) when x approachs to - 9 by the left is negative infinite and limit when x approach - 9 by the right is infinite, then x = - 9 is a vertical asymptote.
Answer: x = -9 and x = -4 are the two asymptotes.
The formula is a subscript n = 6^n
Where a1 is the first term and d is the common difference of the sequence
Thus, the first term is 6, second term 36, then 216.....
thus the sequence is, 6, 36, 216, .....................
Therefore, this is a geometric sequence with a common difference of 6
Answer:
The answer is 5.5.
Step-by-step explanation:
Because 4 + 1.5 is 5.5, so 5.5 is the exchange rate between Gamma and Alpha coins.
Set x's equal
21x +35y = 7
21x + 12y = -39
Subtract from one another
23y = 46
Divide
y = 2
Hope this helps ;)
Answer:
I and IV
Step-by-step explanation:
cosine is positive/greater than 0 in quadrants I and IV. Its just a rule of the unit circle.
Can remember by All Star Trig Class
meaning all the trig funtions are positive in quadrant I
sin is positive in II
tan is positive in III
and cos is positive in IV