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Leni [432]
2 years ago
9

Tell whether (-4, 3) is a solution of the system of linear inequalities.

Mathematics
1 answer:
sergey [27]2 years ago
4 0
<h3>Answer:  No, it is not a solution</h3>

Explanation:

Refer to the diagram below. The point (-4,3) marked in red is outside the blue shaded region. So it doesn't make both inequalities true, and therefore not considered a solution.

In contrast, a point like (-5,1) is a solution as it is in the shaded region.

Put another way, the set of all solution points must be below both the solid line and the dashed line. Points can be on the solid line, but must be adjacent to the blue shaded region. The fact (-4,3) is on the solid line doesn't count because its not below the dashed line.

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A person, who decided to go to weekend trip should not exceed 8 hours driving in a day. Average speed of forward journey is 60 k
Paraphin [41]
Since he must not exceed 8 hours driving in a day:
Let the distance of the picnic be = x km.

Therefore  time for forward journey  =  x / 60
Return journey                                   =  x / 50

The total trip should not exceed 8 hours.
Therefore:              x / 60 + x / 50  <= 8.      LCM = 300

Taking LCM and multiplying on both sides:
                                5x  +  6x  <=  8(300)
                                       11x    <=  2400
                                           x    <=    2400/11
                                           x   <=  218.18
The picnic spot must be less than or equal to 218.18 km.
5 0
3 years ago
What is the cost of each chicken and what is the cost of each duck
zimovet [89]

Answer: $8 chicken $5 duck

Step-by-step explanation:

50x+30y=550

x=8

y=5

400+150=550

7 0
3 years ago
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Answer:

1/5, 1/3, 4/6

Step-by-step explanation:

First, find all the common denominators for these numbers. In this case, it's 30.

1/5 = 10/30

4/6 = 20/30

1/5 = 6/30

Now, you can see which ones are greatest and least.

1. 1/5 (least)

2. 1/3 (middle)

3. 4/6  (greatest)

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3 years ago
The constant of proportionality for this relationship is
Vera_Pavlovna [14]

Answer: The constant of proportionality is 1.5

Step-by-step explanation:

The equation for constant of proportionality is y=KX. the K stands for the constant of proportionality and since the constant proportionality is 1.5 you will take 1.5 * x and for example x is 2 so you do 1.5 * 2 and you get 3 and 3 is your y. If you plug in the equation you're saying 3 equals 1.5 * 2 which is right.

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3 years ago
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lapo4ka [179]

Answer:

x=33.4

Step-by-step explanation:

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3 years ago
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