Answer:
h, j2, f, g, j1, i, k, l (ell)
Step-by-step explanation:
The horizontal asymptote is the constant term of the quotient of the numerator and denominator functions. Generally, it it is the coefficient of the ratio of the highest-degree terms (when they have the same degree). It is zero if the denominator has a higher degree (as for function f(x)).
We note there are two functions named j(x). The one appearing second from the top of the list we'll call j1(x); the one third from the bottom we'll call j2(x).
The horizontal asymptotes are ...
- h(x): 16x/(-4x) = -4
- j1(x): 2x^2/x^2 = 2
- i(x): 3x/x = 3
- l(x): 15x/(2x) = 7.5
- g(x): x^2/x^2 = 1
- j2(x): 3x^2/-x^2 = -3
- f(x): 0x^2/(12x^2) = 0
- k(x): 5x^2/x^2 = 5
So, the ordering least-to-greatest is ...
h (-4), j2 (-3), f (0), g (1), j1 (2), i (3), k (5), l (7.5)
9514 1404 393
Answer:
y = 38x
Step-by-step explanation:
The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...
y = kx
y = 38x
Answer:
8n - 4
Step-by-step explanation:
The numbers here go up in 8, so you have 8n. Afterwards, use the term and the 8 times tables. Eg. 4 is the first term and the first 8 multiple is 8, so 4-8. You have to subtract 4 from 8 to get the first term. Sorry if this didn't help but yeah...
Let's assume
height of plane in feet =h
time in minutes =t
we are given
A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet
so, we get one point as (5,6500)
After 7 minutes it is at a height of 5900 feet
so, we get another point as (7,5900)
we can use point slope form of line

points as
(5,6500)
x1=5, y1=6500
(7,5900)
x2=7 , y2=5900
Calculation of slope(m):

now, we can plug values


Equation of line:
we can use formula

we can plug values


Time of landing:
we can set h=0
and then we can solve for t

..............Answer
So the function is

the intial value is where x=0
where x=0, the value of f(0)=3
grouth is 1/3 but it is decay, so it might be correct, or not because it is decay
it is exponential decay
true it is a stretch of the funciton f(x)=(1/3)^x
when x=3, then f(3)=1/9
the true things are
The function shows exponential decay.
The function is a stretch of the function f(x) = (1/3)x .