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aalyn [17]
3 years ago
9

4. The system of equations 3x – 6y = 20 and 2x – 4y = 3 is

Mathematics
2 answers:
expeople1 [14]3 years ago
6 0
3x - 6y = 20
-6y = -3x + 20
y = 1/2x - 20/6.....slope = 1/2...y int = -20/6 = -10/3

2x - 4y = 3
-4y = -2x + 3
y = 1/2x - 3/4..slope = 1/2...y int = -3/4

same slope, different y int = parallel lines = no solution = inconsistent
REY [17]3 years ago
5 0

Answer:

The correct option is D.

Step-by-step explanation:

The given system of equations is

3x-6y=20

2x-4y=3

If a system of equations has no solution, then the system of equations is inconsistent.

If a system of equations has solutions, then the system of equations is consistent.

(a) If the system has one solution, then it is independent.

(b) If the system has infinitely many solutions, then it is dependent.

If two lines are ax_1+by_1+c_2=0\text{ and }ax_2+by_2+c_2=0 and

\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}

then the system of equations is inconsistent.

\frac{a_1}{a_2}=\frac{3}{2}

\frac{b_1}{b_2}=\frac{-6}{-4}=\frac{3}{2}

\frac{c_1}{c_2}=\frac{-20}{-3}=\frac{20}{3}

Since \frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}, therefore the given system of equation is inconsistent.

Hence, the correct option is D.

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dimaraw [331]

Answer:

6840

Step-by-step explanation:

Well we know there's 24 hours in a day so dividing that by 1440 we get 60. Now we know that it consumes 60 watts ever hour. so now we just have to figure out how many hours there are and times that by 60. So there are 96 hours in 4 days plus 28=114. So times that by 60 ( watts) 114×60=6840

So that's your awnser.

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6 0
3 years ago
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Anna11 [10]

Answer:

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Step-by-step explanation:

Hope this helps :)

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Archy [21]
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3 0
3 years ago
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madam [21]
X/5 - 11 = -13

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3 years ago
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Kisachek [45]
Total number of sections on the spinner = 4
So there can be 4 outcomes on 1 spin of the arrow on the arrow.

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For each outcome of the spinner, there can be 6 outcomes of rolling a dice. So for 4 outcomes of the spinner, there will be 6 x 4 = 24 outcomes in total.

For example, WW and either of {1,2,3,4,5,6} can occur. This makes folloiwng 6 outcomes: WW1, WW2, WW3, WW4, WW5 and WW6

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