There is .82% chance they will have the same bdays
Substitute
, so that

Then the resulting ODE in
is separable, with

On the left, we can split into partial fractions:

Integrating both sides gives




Now solve for
:


Let's pick two points on the line, the
y-intercept, and the
x-intercept. These are the points at which x=0, and y=0.
When x=0:

So one point is
(0,6)When y=0:

So another point is
(10,0)
So mark the points
(0,6) and
(10,0) on a pair of axes, and draw a straight line between them, and past them to infinity. This is a graphing of the line y=-3/5 x + 6
Answer:
y = -7/2x+3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -7/2 x+b
Substitute the point into the equation
-4 = -7/2(2) +b
-4 = -7+b
Solving for b
-4+7 = -7+b+7
3 = b
The equation is y = -7/2x+3
This equation has no solution.
Reason:
The absolute valued function, which is represented by straight bars, returns only positive values.
For example | - 5 | = 5
A negative result cannot be obtained from an absolute valued function. Since the given equation makes the absolute valued function equal to a negative value, which is not possible, so the equation has no solution or root.