Answer:
infinitely many solutions (infinite solutions)
Step-by-step explanation:
2y - 8 = 6x
+8 +8
-------------------------------
2y = 6x + 8
= 
+ 
-------------------------------
y = 3x + 4
Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.
Answer:
30 students
100 ÷ 20 = 50
60 ÷ 2 = 30 students
30 of the 50 students are 12 years old.
Step-by-step explanation:
60% of 50
60 : 100
X : 50
60/100 × 50
3/5 × 50 = 30
Rule: second differences are 2.
Selection C is appropriate.
_____
First differences are the sequence of differences of the given numbers:
.. 3 -8 = -5
.. 0 -3 = -3
.. -1 -0 = -1
.. 0 -(-1) = 1
Second differences are the sequence of differences of these:
.. -3 -(-5) = 2
.. -1 -(-3) = 2
.. 1 -(-1) = 2
All of these are 2, so the sequence can be described by a *second* order polynomial (because *second* differences are a non-zero constant).
