I am not sure if I understand the question that clearly but if what I think is correct is that you need to prove that 2 and 1 are a system of equations for the following equations so this is how you do that:
With the coordinates (2,1) 2 will be x and 1 will be y because when dealing with coordinates (x,y) is how they are set up.
Next you substitute into the equations and solve:
(2) + 3(1) = 5 and 1 = -(2)+3
So now you find if the equations are true
2 + 3 = 5 so (2,1) is a solution for this equation
-2 + 3 = 1 so (2,1) is also a solution for this equation
So in conclusion (2,1) is a solution of the system of equations
Hope this helps :)
Answer:
S(t) = 600*0.9^t
Step-by-step explanation:
At the beginning (t = 0) the sample has 600 grams. After 1 millennium from today (t = 1) the mass will be: 600 - 600*0.1 = 600*0.9. After 2 millennium from today (t = 2) the mass will be the 90% of the mass in the previous millenium, that is: 600*0.9*0.9 = 600*0.9^2. Analogously, at time = 3, sample's mass will be: 600*0.9^2*0.9 = 600*0.9^3. In a table format, that is
t m
0 600
1 600 - 600*0.1 = 600*0.9
2 600*0.9*0.9 = 600*0.9^2
3 600*0.9^2*0.9 = 600*0.9^3
Therefore, sample's mass in grams, S(t), where t refers to millennia from today is computed as follows: S(t) = 600*0.9^t
Hello :)
So we are given Miguel bikes 25 km per hour.
Since it is per hour you can take a letter variable (in this case they used t) and multiply it by 25.
Then we are given the fact that he starts at mile 10, we would add this too the 25t because it is where he starts.
So Miguel's system of equations would be; d=25t+10
Now, for gabby we are given the fact that she bikes 30 km per hour. We do the same thing that we did with Miguel we take that number (30) and multiply it by a variable.
then we are given that she starts at 0, so we don't have to include this number.
So Gabby's system of equations would be; d=30t
the answer here would be A
Hope this helps :)
Answer:
See below
Step-by-step explanation:
Because 
has to remain true, then 
is a Pythagorean Triple as 
. Also, 
works because 
.
The correct answer would be B, -1/6
