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salantis [7]
3 years ago
15

How many solutions does the system have?

Mathematics
1 answer:
nasty-shy [4]3 years ago
7 0

Answer:

infinitely many solutions

Step-by-step explanation:

we have: x+6y= 3

5x+30y=15

where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)

Thus, the system has infinitely many solutions.

another approach:

convert to slope-intercept form

y= -1/6x + 1/2

y= -1/6x + 1/2

thus, the system has infinitely many solutions.

(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)

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Which ordered pair maximizes the objective function p = 3x 8y? (0, 0) (2, 7) (5, 6) (8, 1)
Degger [83]

The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6) .Option C is correct.

<h3>What is the objective function?</h3>

The objective function is simply an equation that represents the goal production capability that relates to maximizing profits in relation to manufacturing.

On putting the values we will get the values one by one. We get;

1. (0, 0)

3 (0)+8(0) = 0

2. (2,7)

3(2)+8(7)=62

3. (5,6)

3(5)+8(6)=63

4. (8,1)

3(8)+8(1)=42

The maximum value obtained from the 63. Obtained from option C. The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6)

Hence option C is correct.

To learn more about the objective function refer to the link;

brainly.com/question/15830007

4 0
2 years ago
If 8a+7b+c=9 then what is -6c-48a-42b
kati45 [8]

Your answer would be 6

5 0
3 years ago
decide if the following change is an increase or decrease. then determine the percent of change. 48 inches to 30 inches
Wewaii [24]
48 inches to 30 inches is a decrease.
percent decrease = change/original value x 100%
= (48 - 30)/48 x 100%
= 18/48 x 100%
= 37.5% decrease
3 0
3 years ago
Sndnfnfndbsnsnsndndnfnfnnfnfnfndnsnzbzbxbzbbsbsbsbdjdjfjfkgkfkgkkvk k
Arturiano [62]
1246678956)7t fhiuxdc
4 0
3 years ago
Read 2 more answers
Answer me please answer
Goryan [66]

Answer:

700 or 960

Step-by-step explanation:

350x2=700

480x2=96

4 0
3 years ago
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