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fgiga [73]
1 year ago
5

To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry d

ecided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this?
Mathematics
1 answer:
seraphim [82]1 year ago
3 0

Answer:

Step-by-step explanation:

Both lines have same slope so the graph of both equation will be same and hence it will overlap each other that is why the Henry  could only see one line.

Step-by-step explanation:

Given  : A system of linear equation 3x - 2y = 4 and 9x - 6y = 12  

We have to show whey when Henry  graphed the equations 3x-2y=4 and 9x-6y=12 he could only see one line.

Consider the given system of linear equation

3x - 2y = 4 ................(1)

9x - 6y = 12   ..................(2)

Since,

Equation (2) is multiple of equation (1),

3 × ( 3x - 2y = 4) = 9x - 6y = 12  

Also the slope of given equations are same

For equation (1),

Differentiate with respect to x, we get,

3-2dy/dx = 0

dy/dx = 3/2

Also for equation (2),

Differentiate with respect to x, we get,

9 - 6dy/dx = 0

dy/dx = 9/6 = 3/2

Since, both lines have same slope so the graph of both equation will be same and hence it will overlap each other.

That is why the Henry  could only see one line.

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djyliett [7]

Answer:

<em>5.5</em>

Step-by-step explanation:

Given the set of data

5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

The average of the least and the greatest value is known as the midrange

The formula for calculating the midrange is expressed as shown:

Midrange = (Greatest value + Least value)/2

Given

Greatest value = 10

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<em>Hence the midrange of the data is 5.5</em>

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2 years ago
HELP!
PSYCHO15rus [73]

Answer:

74676.

Step-by-step explanation:

Lets try multiplying 127 by 294 ( 127 is a prime number):

127 * 294 = 37338.

37338 / 196 = 190.5

37338 * 2 = 74676  which will now be divisible by 196.

74676 will be divisible by 98, 49 and 7 (because they are factors of  196).

It is also divisible by 84 ( to give 889) and therefore by 42, 28, 21, 14, 12,  6, 4, 3 , 2 and 1 which are all factors of 84.

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3 years ago
The sales tax for a certain state can be found by multiplying the purchase price by . What is the sales tax on an item that is $
Tamiku [17]
Ok any more details or is that the question?
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If C= (-10, -9, -8, -7 ,-6 , -5) and D= ( -6, -5, -4, -3, -2, -1, ) , what is C n D ?
andrey2020 [161]

Answer:

C ∩ D = -5, -6

Step-by-step explanation:

Commons ones in both C and D are -5 and -6

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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
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