Answer:
x = 3.1 %
Step-by-step explanation:
Let x be the slope the track.
Given:
Distance between station A and B = 270 ft
Track rise =
We need to find the slope of the railway track between station A an B.
Solution:
The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.
We know that slope of the railway track is equal to gradient of the tracks.
So. the slope of the railway track is defined as the ratio of the distance between the stations and track rises.
x = 3.1 %
So x = 3.1 % less than the maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.
Therefore, x = 3.1 % meets the rapid-transit rail standards.
For this case we have the following system of equations:
From the first equation we clear "x":
We substitute in the second equation:
We apply distributive property:
We add similar terms:
We add 65 to both sides:
We divide between 22 on both sides:
We look for the value of the variable "x":
Thus, the solution of the system is:
ANswer:
Answer:
±11.18
Step-by-step explanation:
the function is:
and to find the roots we need to find which values of makes the function result in zero:
solving for :
A square root has two solutions, one positive and one negative, so the solutions are:
±
≈ ±11.18
the roots of the quadratic equation are +11.18 and -11.18
Answer:
The Given situation is In 2005, the shabelle river in Somalia rose an estimated 5.25 inches every hour for 15 hours.
Increase in water level is represented by the function,f(x)=5.25 x.
or replacing f(x) by y we get ,y= 5.25 x
This is equation of straight line passing through the origin.
As x is number of hours , so x> 0,(0,∞] Which is it's domain.
As x> 0, so Range is those values of y for which x is defined.
,So Range is y>0 i.e (0,∞}
As the function has no breaking point , that is when you plot the graph on coordinate axis there is no breaking point.So , it is everywhere continuous i. e for all values of x.
Answer:
The correct option is 2.
Step-by-step explanation:
According to the the center-of-gravity technique, the coordinates of the center-of-gravity location are
Where ( represent the coordinates and
is demand.
We have to find the Y-coordinate of the center-of-gravity location.
The sum of product of demand and corresponding y coordinates is
The sum of demanded units is
The Y-coordinate of the center-of-gravity location is
The Y-coordinate of the center-of-gravity location is 131. Therefore the correct option is 2.