Question

Kindy help me please really need it​

Answer 1

9514 1404 393

Answer:

A.

1. no
2. no
3. yes
4. no
5. yes

B.

1. 10x +15y ≤ 60; x +y ≥ 3
2. (6, 0), (0, 4); (3, 0), (0, 3)

Explanation:

A

For solving questions as to whether a given point is a solution to an inequality, it often works well to graph the inequality and plot the point on the graph. Here, the only points that are in the solution area are (0, -1) and (2, -4), corresponding to questions 3 and 5. This is shown in the first attachment.

1. no; 2. no; 3. yes; 4. no; 5. yes

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B

1. One inequality relates to total cost. The cost must be less than or equal to 60 Php. The equations use the given variable definitions and cost values.

10x +15y ≤ 60

The other inequality relates to quantity of items. The total quantity must be 3 or more.

x +y ≥ 3

__

2. The x-intercept is found by setting y=0 and dividing by the x-coefficient. Similarly, the y-coefficient is found by setting x=0 an dividing by the y-coefficient.

10x +15y ≤ 60

x-intercept: 60/10 = 6 y-intercept: 60/15 = 4

x +y ≥ 3

x-intercept: 3/1 = 3 y-intercept: 3/1 = 3

The graph of the inequalities and their intercepts is shown in the second attachment.