1) Solve the first inequality
3y ≤ 2x + 6
=> y ≤ 2x/3 + 2
2) Draw the line y = 2x/3 + 2
3) Shade the region below the line y = 2x/3 + 2
4) Solve the inequality 2x + y > 0
=> y > - 2x
5) draw the line y = -2x
6) Shade the region above the line y = -2x
7) The solution is the region between the two lines shaded including the portion of the line y = 2x/3 + 2
Answer:
The cost of 8 comic books is $14
Step-by-step explanation:
Given
Required
Determine the cost of 8 books
First, we need to determine the cost of 1 book
Divide through by 20
Then multiply both sides by 8 to get the cost of 8
Hence;
<em>The cost of 8 comic books is $14</em>
The value of 
is 3.
In this question we must apply the definition of addition between functions, whose operation is described below:
(1)
(1b)
If we know that 
and 
, then the result of the operation is:
The value of is 3.
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Answer:
60
Step-by-step explanation:
A 3-digit number can be odd only when the third digit in it would be odd.
So,
The 3rd digit becomes the most limiting which can be (1, 3, or 5).
Now,
Since we have 3 alternatives to pick the third digit, it can be done in three ways. For every of these 3 ways, 5 digits will be left to select the 1st. Thus, the number of ways to select 3rd and 1st digit = 3 * 5 = 15 ways
After picking the 1st and 3rd digits, we are left with 4 ways to pick the other 4 digits. Thus, the total number of ways to select all the digits would be;
3 * 5 * 4 = 60 ways
Hence, 60 is the correct answer.
