Answer:
21, 9
Step-by-step explanation:
If girls are x, then boys are x + 12
x + x + 12 = 30
2x + 12 = 30
2x = 18
x = 9
There are 9 girls and 21 boys
Rewrite equation so that it is homogeneous .

Solve characteristic equation:
The solutions to the homogeneous equation are:

Finally you need the constant term in "cy" to equal 'd' to satisfy the particular solution.
Answer:
(6, 2), (0, -2), (-3, -4)
Step-by-step explanation:
The intercepts are clearly (0, -2) and (3, 0). This eliminates the bottom two choices.
Both of these are listed in the upper left choice, but the third point there, (-6, -5), is not on the graph. This leaves only the upper right choice. Checking the remaining two points in that choice, (6, 2) and (-3, -4), confirms they are both on the graph.
Answer:

Step-by-step explanation:
we know that
The "power rule" tells us that to raise a power to a power, just multiply the exponents
so

we have

Applying the "power rule"
