Answer:
b
Step-by-step explanation:
For clarity, f(x)=x^2+x-6/x^3-1 should be written as:
x^2 + x - 6
f(x) = ------------------
x^3 - 1
Note that the denominator, x^3 - 1, factors as follows: (x - 1)(x^2 + x + 1). If we set these results = to 0 individually, we find that there is only one real root; it is x = 1. We cannot divide by zero, so conclude that the given function is undefined at x = 1. Thus, the function has the vertical asymptote x = 1.
Note that x^2 in the numerator is of a higher power than is x^3 in the denominator. As x grows large without bound, either + or - , this ratio x^2/x^3 approaches zero. Thus, the horizontal asymptote is y = 0.
The correct answer choice is (b).
Answer:
trapezoid, quadrilateral, and polygon
Step-by-step explanation:
You are making 4.5 the amount of muffins, so you're going to use 4.5 times the amount of baking powder. You'll need six and three fourths teaspoons.
5. After 6 hours, the concentration is halved. After 12 hours, it will be quartered. If the original concentration is 200 nmol, a quarter is 50 nmol.
14. The population doubles after 3 hours, and a day is 24 hours. That means that the original population should be multiplied by 
, or 
. 3 million times is 3 * 256 million, or 768 million.
15. The concentration is halved every 8 hours and the original concentration is 100 nmol. So now, how many times do you halve 100 to get to 12.5?
100/2 = 50, 50/2 = 25, 25/2 = 12.5. That's three times. 3 * 8 is 24 hours, or 1 day.
Answer:
use a midpoint formulae (X2+X1 /2 ; Y2 + Y1 /2 )
(-2+3/2 ; -2+4/2 )
X = 1/2 ; Y = 1
