Answer:
Step-by-step explanation:
a) y-intercept is when x=0
f(0)
=1/(0-3)
=-1/3
g(0)=0 from the graph
b) vertical asymptotes are vertical lines that f(x) and g(x) get close but do not exist there
4 divided by 3= 1.3 and 3 divided by 2=1.5 so iced tea B is better priced
Lets take a look at an example:
sqrt(45) can be written as the product of sqrt(9) and sqrt(5). Since the sqrt(9)= 3, the product becomes 3(sqrt(5)). When radicals are simpified, the perfect squares are factored out inside of the radical. sqrt(45) can be written as sqrt(9*5) since sqrt(9)=3, the result then becomes 3sqrt(5). They are similar because the same steps are taken with multiplying radicals as when radicals are simplified.
Answer:
60 km/hr
Step-by-step explanation:
Let the speed at the initial average speed from Town X to Town Y be a.
We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.
Town Y was 200 km from Town Z.
Thus, time spent here is;
t_2 = 200/(a + 20)
Time from X to Y is; t_1 = 150/a
We are told that it took the same time to travel for both parts of the journey.
Thus; t_1 = t_2
150/a = 200/(a + 20)
Cross multiply to get;
150(a + 20) = 200a
150a + 3000 = 200a
200a - 150a = 3000
50a = 3000
a = 3000/50
a = 60 km/hr
