Answer:
Correct option is C
Step-by-step explanation:
First, find the equation of the boundary line. This line passes through the points (0,-3) and (-2,1). Then it has equation

In the attached diagram this boundary line is solid, then the sign of the inequality should be with "or equal to" notion (≤ or ≥). Thus, options A and B are false.
The line divides the coordinate plane into two parts and you have to determine which part to choose. The origin does not lie in the shaded region, then its coordinates cannot satisfy the inequality. Check options C and D.
- origin does not satisfy (option C is correct);
- origin satisfies (option D is false).
The formula of a slope:

We have the points (-6, -1) and (-6, 4).
Substitute:

Dividing by 0 is not possible, therefore the slope is undefined.
<em>It's a vertical line x = -6</em>.
There are 24 oranges and 36 apples.
Each basket has to have the same number of fruit
So lets say that each basket will have exactly one orange and apple.
To get the maximum number of baskets, we have to use either all of the apples or all of the oranges.
You can't have 36 baskets, because you only have 24 oranges, even though there are enough apples.
But you can 24 baskets, because there are enough apples and oranges.
So you can use all of the oranges to make 24 baskets (and you'll be left with 12 apples)
Answer: F. 24.
A ratio can be written in three different ways: 3 to 4, 3:4, and 3/4
What does this mean? It means that for every group of 7 students (3+4) there are 3 boys and 4 girls. And how many groups do we have? We have:
245/7= 35 We have 35 groups, and we just said that each group has 3 boys and 4 girls:
35*3= 105 boys
35*4= 140 girls
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Answer:
A
Step-by-step explanation:
If the variable quantities are the same, but the constants are different, then that equation has no solutions.