There are three groups of people: 25 years old and younger, between 25 to 50, and 50 years old and older. Their fractions must equal to 1 because these three together form the whole.
1 = 1/3 + 2/7 + x
where x is the fraction for people ages 25 to 50 years old
x = 8/21
So, the actual number of people ages 25 to 50 years old is:
84(8/21) = 32 people
Answer:
Step-by-step explain
Find the horizontal asymptote for f(x)=(3x^2-1)/(2x-1) :
A rational function will have a horizontal asymptote of y=0 if the degree of the numerator is less than the degree of the denominator. It will have a horizontal asymptote of y=a_n/b_n if the degree of the numerator is the same as the degree of the denominator (where a_n,b_n are the leading coefficients of the numerator and denominator respectively when both are in standard form.)
If a rational function has a numerator of greater degree than the denominator, there will be no horizontal asymptote. However, if the degrees are 1 apart, there will be an oblique (slant) asymptote.
For the given function, there is no horizontal asymptote.
We can find the slant asymptote by using long division:
(3x^2-1)/(2x-1)=(2x-1)(3/2x+3/4-(1/4)/(2x-1))
The slant asymptote is y=3/2x+3/4
3(1)^2-3= 0
Plug in the numbers because x=1 plug In 3(1)^2 and it equals 3 then subtract y which is 3-3= 0
Answer:
She will dive 30 meters below sea level
Step-by-step explanation:
0 is the sea level, so that means 0-30 meaning she will go 30 meters below sea level.
Answer:
315 km
Step-by-step explanation:
If the bus travels at constant speed, then the slope of the distance versus time graph can be calculated by using any two points from this table.
Let's use the points (0.5, 42) and (4.5, 378):
as we move from the first point to the second, t increases by 4 and y increases by 336. Thus, the slope of this graph is
m = rise / run = 336 km / 4 hr = 84 km/hr
then distance traveled = speed times time, or
distance traveled = (84 km/hr)t, where t is the elapsed time.
In 6 hours the bus would travel
( 84 km/hr )(6 hr) = 504 km, or approx. 315 mi
