I think I believe it’s 8000
We have a three unknown, 4 equation homogeneous system. These always have at least (0,0,0) as a solution. Let's write the equations, one column at a time.
1a + 0b + 0c = 0
-1a + 1b +0c = 0
0a - 1b + c = 0
0a + 0b + -1 c = 0
We could do row reduction but these are easy enough not to bother.
Equation 1 says
a = 0
Equation 4 says
c = 0
Substituting in the two remaining,
-1(0) + 1b + 0c = 0
b = 0
0(0) - 1b + 0 = 0
b = 0
The only 3-tuple satisfying the vector equation is (a,b,c)=(0,0,0)
2. They are both straight lines. The solution of a linear system is where the two lines intersect, and if they're both straight lines, then they can only cross once.
See the picture attached.
Answer:
34 Republicans 66 democrats
Step-by-step explanation:
so if there are 100 members evenly split, the 2 parties would each have 50
this is the starting point you add 16 to the democratic side resulting in 66 but then you take 16 from the Republican side making it 34
Answer:
3^6
Step-by-step explanation:
3^2 * 3^4
You add the exponents together.
