Answer:
- + 12
Step-by-step explanation:
h(n) = -4n + 4 (h o g) (n)
g(n) = - 2
-4( - 2) + 4
- + 8 + 4
- + 12
Answer:
Last year there were 550 bison in the heard and this year it is 10% larger.
10% is also 10/100 or 0.10
To find 10% of the heard last year
550 x.0.10 = 55. To find the number in the heard this year add 550 (last year) + 55 (10% growth) = 605 or,
to find how many there are now last years heard size was 100% of the heard or 1.00. To find any percent more add it to 1.00 and multiply by the starting amount.
550 x 1.10 = 605
For the second example.
If there are 550 bison in the heard this year, and this year was a decrease of 10% from last year we can express last year's number like this.
550 = (x - (x * 0.10)) simplify;
550 = 1x - 0.10x
550 = 0.90x
Divide both sides by 0.90
x = 611.11 but it's hard to have 0.11 of a bison so realistically 611 bison last year. Subtract 10% or 61 and you indeed have 550 this year.
ANSWER
Vertical asymptote:
x=1
Horizontal asymptote:
y=1
EXPLANATION
The given rational function is
The vertical asymptote occurs at
The vertical asymptotes is x=1
The degree of the numerator is the same as the degree of the denominator.
The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.
y=1
If we want to calculate the time it takes to fill a water tank, we need the flow and volume of the tank.
The flow must be a data, but for the volume of the tank we need mathematics.
For example, if it is a cylinder, we need mathematics to know that the volume of the cylinder is:
V = pi * r ^ 2 * h