Answer:
Step-by-step explanation:
1. y = -2x + 7
2. Graph it (Mark (0, 7) or 7 on the y axis and go over one, down two, mark it and draw a line through both)
3. -2y = -x + 6
4. divide entire equation by 2 to isolate y
5. -y = -x + 3
6. multiply entire equation by -1 to make it positive
7. y=x+3
8. graph it (Mark (0,3) and go over one, down one, mark it and draw a line through both new points)
9. Where the lines intersect is your answer
The way you work this out is by thinking about the odds of each singular event, then finding the overall odds based on the individual odds.
The number of different books Mrs. Reid can choose is 9, so the first number is 9.
Mrs. Reid has picked one book so far, so now she has (1 - 9) = 8 books to choose from.
The of different books Mrs. Reid can choose now is 8, so your second number is 8.
Mrs. Reid has picked 2 book thus far, so now there are (2 - 9) = 7 books to choose from.
The of different books Mrs. Reid can choose now is 7, so your second number is
7.
To get the total number of different choices, multiply all the singular events together:
The solution depends on the value of

. To make things simple, assume

. The homogeneous part of the equation is

and has characteristic equation

which admits the characteristic solution

.
For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be

. Then

So you have


This means


and so the general solution would be
The volume for 3 boxes of detergent is 864 inches
Volume= length X width X hight
V=12X8X3
V=288
V=864 (288 times 3 for 3 boxes)