Answer:
Solution : y = ± 1/3x
Step-by-step explanation:
Remember that the equation of a hyperbola is in the form (y - k)² / a² - (x - h)² / b² = 1. Therefore we have a² here = 9, and b² here = 81.
To determine the asymptotes we can use the equation y = k ± a/b(x - h). What makes this equation really simple, is that k = 0 and h = 0, giving us y = ± a/b(x). Let's isolate a and b given a² = 9, and b² = 81 --- (1)
a² = 9
a = 3
b² = 81
b = 9
Therefore our asymptotes will be in the form y = ± a/b(x) = ± 3/9(x) = ± 1/3x. Our solution is thus option a.
Answer:
40
Step-by-step explanation:
because if you do 400 divided by 10, it gives you 40
Answer:86
Step-by-step explanation:
You would do multiplication first so 18x2 = 36 then you would add 36+50 which equals 86
Given:
The function is
To find:
The rate of change of the given function.
Solution:
We have,
...(i)
It is a linear function because the degree or power of x in this function is 1.
Slope of a linear function is always constant.
The slope intercept form of a linear function is
...(ii)
where, m is slope and b is y-intercept.
On comparing (i) and (ii), we get
It means, the function has a constant rate of change, decreasing for all x at a rate of 5.
Therefore, the correct option is D.
Answer:
C
Step-by-step explanation:
Ben should buy the juice at the wholesale club because it is a lot cheaper then going into the grocery store 1. because there is more juice 2. it is a lot cheaper then the other one.
