Answer:
asymptotes: x= -4,-2 and no holes
Step-by-step explanation:
First we need to factor the denominator of the function
y = (x-1) / (x2 + 6x + 8)
x2 + 6x + 8 = 0
delta = b2 - 4ac = 36 - 32 = 4
x1 = (-6 + 2) / 2 = -2
x2 = (-6 - 2) / 2 = -4
So we have that x2 + 6x + 8 = (x+4)(x+2)
So our function is:
y = (x-1) / (x+4)(x+2)
As there is no common expressions in the numerator and denominator, there are no holes.
The asymptotes are when the denominator is zero, so:
(x+4)(x+2) = 0
x = -4 or x = -2
Answer:
To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.
To estimate the sum of these two numbers, we shall round them to the nearest 5,000, and then add the sum of those numbers.
36,795 rounded to the nearest 5,000 = 35,000
14,467 rounded to the nearest 5,000 = 15,000
15,000+35,000= 50,000
Therefore, an estimate for the sum of 36795 and 14467 is approximately 50,000.
S = p/(q +p -pq)
q +p -pq = p/s
q -pq = p/s - p
q(1-p) = p/s - p
q = (p/s - p) / (1-p)
October has 31 days.
31 days x 24 hours in a day x 60 minutes in one hour
= 44,640 minutes.