The answer would be B. 3 gallons per minutes.
Answer:
1) the second one
2) 11
Step-by-step explanation:
for the first one, the answer is the second one. because each term is being multiplied by -9 to get the next term.
the second problem is 11
Putting the equations into standard form helps me identify dependent and inconsistent systems. In standard form, the leading coefficient is positive, and all numbers are mutually prime (have no common factors).
1.) 2x + y = -9 . . . . . . multiply the original equation by -1
... 3x - 4y = -8 . . . . . . the system is independent
These two equations will give rise to a single solution.
_____
2.) 4x + y = 4 . . . . . . divide the original equation by 3
... 4x + y = 5 . . . . . . . the system is inconsistent
These two equations describe parallel lines, so will not have a point of intersection. There are no values of x and y that can satisfy both equations.
Answer: C) 0
You can use a calculator to get this answer, a reference table, or the unit circle. The angle pi radians is equivalent to 180 degrees. Note how the point on the unit circle corresponding to 180 degrees is (1,0). This point has a y coordinate of zero. More broadly, y = sin(theta) where theta is the angle.
