Solving a system of linear equations using a graph
A system of linear equations includes two or more linear equations. The graphs of two lines will intersect at a single point if they are not parallel. Two parallel lines can also intersect if they are coincident, which means they are the same line and they intersect at every point. For two lines that are not parallel, the single point of intersection will satisfy both equations and therefore represent the solution to the system.
To find this point when the equations are given as functions, we can solve for an input value so that
In other words, we can set the formulas for the lines equal to one another, and solve for the input that satisfies the equation.
Finding a point of intersection algebraically
Find the point of intersection of the lines
and
Set
This tells us the lines intersect when the input is
We can then find the output value of the intersection point by evaluating either function at this input.
If we were asked to find the point of intersection of two distinct parallel lines, should something in the solution process alert us to the fact that there are no solutions?
Yes. After setting the two equations equal to one another, the result would be the contradiction “0 = non-zero real number”.
Look at the graph in
[link] and identify the following for the function
y- intercept
x -intercept(s)
slope
Is
parallel or perpendicular to
(or neither)?
Is
an increasing or decreasing function (or neither)?
Write a transformation description for
from the identity toolkit function
Slope -1
Neither parallel nor perpendicular
Decreasing function
Given the identity function, perform a vertical flip (over the
t -axis) and shift up 5 units.
A company sells sports helmets. The company incurs a one-time fixed cost for $250,000. Each helmet costs $120 to produce, and sells for $140.
Find the cost function,
to produce
helmets, in dollars.
Find the revenue function,
from the sales of
helmets, in dollars.
Find the break-even point, the point of intersection of the two graphs
The cost function in the sum of the fixed cost, $125,000, and the variable cost, $120 per helmet.
The revenue function is the total revenue from the sale of
helmets,
The break-even point is the point of intersection of the graph of the cost and revenue functions. To find the
x -coordinate of the coordinate pair of the point of intersection, set the two equations equal, and solve for
To find
evaluate either the revenue or the cost function at 12,500.
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
