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grandymaker [24]
3 years ago
10

Percy said that any real number for k would cause the system of equations to have no solution. Explain the error in Percy’s stat

ement.
6x + 4y = 14,

3x + 2y = k
Mathematics
2 answers:
MatroZZZ [7]3 years ago
5 0

Answer:

Except k=7, any real number for k would cause the system of equations to have no solution.

Step-by-step explanation:

In general a system of equations can be represented as ax+by=c and dx+ey=f. In order this system of equations to have NO SOLUTIONS a/d=b/a≠c/f. In our example a=6, b=4, c=14, d=3, e=2 and f=k. To apply the formula above, 6/3=4/2≠14/k. Hence k≠7. It can be concluded that except k=7, any real number for k would cause the system of equations to have no solutions.

Just for information, if k=7 the system will have infinitely many solutions.

Travka [436]3 years ago
5 0

Sample Response: k = 7 proves the equations are equivalent and, therefore, have infinitely many solutions. That is illustrated by the fact that multiplying 2 by 3x +2y = 7 will create the equivalent of 6x + 4y =14.

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The deferred tax liability in 2020 for Company B.  would be $372.

<h3>How much of the deferred tax liability is incurred?</h3>

First, we have to find the taxable income:

= $86,000 + $6,500 + $3,500 -$ 4,000 - $4,700 - $2,630

= $84,670

Now, as the accounting income of $86,000 is more than the taxable income of $84,670, there will be a deferred tax liability of:

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8 0
2 years ago
Jackie drinks a bottle of water and a bottle of orange juice every morning. The bottle of water has 16.9 ounces. The bottle of o
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If you want to subtract the answer is 1.7

6 0
3 years ago
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A1.0 kg cart moving right at 5.0 -- on a frictionless track
bulgar [2K]

Answer:

3.0 kg

Step-by-step explanation:

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6 0
3 years ago
Which pair of lines are parallel? Select all that apply
sattari [20]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

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b: It is the cut-off point with the y axis

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Answer:

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3 0
3 years ago
The distance between two cities on a map is 4 - inches. The actual distance between the two cities is 24 miles.
Rudiy27

Answer

The scale factor is

Explanation

We have to ways to find the scale factor here:

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We can conclude that the scale factor is

2. Let  be the scale factor.

We know form our problem that 24 miles times the scale factor is equal 4 1/2 inches, so we can set up an equation an solve for :

Just like before, we can conclude that the scale factor is

B.

Answer

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Explanation

We know that our scale factor is 1/4 inch = 1 mile, so we can create a conversion factor to convert 24 miles to inches. Since we need to convert from miles to inches, the denominator of our conversion factor must be 1 mile so we can cancel miles out. Notice that we can also express 1/4 inch as 0.25 inch to simplify our calculations:

We can conclude that if the conversion factor is 1/4 inch = 1 mile, 6 inches separate the cities on the map.

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