Answer:
Step-by-step explanation:
The given function is 
and we need to graph it.
In order to graph this function, we'll find below things:
Horizontal asymptote:
Since the degree of both numerator and denominator is same. Hence, the horizontal asymptote is the ratio of leading coefficient of numerator to the leading coefficient of denominator.
Horizontal asymptote is y = 1/1 = 1
Vertical asymptote:
Vertical asymptote occurs where the denominator is zero.
x-intercepts:
For x-intercept, y = 0
y-intercepts:
For y-intercept, x= 0
Using these, we can draw the graph of the rational expression.
<span>z^2-z(z+3)+3z
z^2 - z^2 - 3z + 3z
0 + 0
0
</span><span>z^2-z(z+3)+3z = 0</span>
Start from the last plane.
Rachel's plane flew 20 ft.
Darren's plane flew twice as far as Rachel's,
so Darren's plane flew 2 * 20 ft = 40 ft.
Amanda's plane flew 19 ft farther than Darren's,
so Amanda's plane flew 40 ft + 19 ft = 59 ft.
Answer: 18 color papers
Step-by-step explanation:
The ratio of color paper to white paper is 3:8 which means that for every 3 color papers there should be 8 white papers.
If there are 48 white papers therefore, you need to use direct proportion to solve for the color papers:
3 : 8
x 48
8x = 144
x = 144 / 8
x = 18 color papers
Half of 2 = 1 so 1 year apart . That means
80-1 = 79 years
