If the lines are parallel (have the same slope but different intercepts) . . .
no solution, because they never cross.
If the lines have different slopes . . .
one solution, because they have exactly one common point.
If the lines have the same slope and the same intercept . . .
infinitely many solutions, because every point on one line is also a point on
the other line, one lays right on top of the other, and when you look at them on
the graph, it looks like only one line.
Answer:
The student answers 15 answers correctly.
X=8,3 . i have to type more to submit the answer
Answer:
k = 30, 
Step-by-step explanation:
Since
is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

Then, replacing the derivatives in the equation we have:

Since
is a positive function, we have that
.
Now, consider a general solution
, then, by calculating the derivatives and replacing them in the equation, we get

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.
Therefore, the general solution is

Answer:
Ella grew
of an inch more
Step-by-step explanation:
For this problem, you want to subtract Ben's growth from Ella's.
This expression would be
-
.
To work these out, they must have the same denominator (which should be the lowest common multiple or LCM).
In this case, the LCM is 12, so you want to multiply each side so the denominator is 12. This means the first fraction should be multiplied by
and the second by
.
This makes the expression
-
, which equals
.
**This content involves adding and subtracting fractions, which you may want to revise. I'm always happy to help!